
Earlierversions of the UML have been an out of depth for documenting software architectures like component, port, connector and system. Users have adopted conventions for representing architectural concepts using different grouping of UML modeling element. They can also create profiles to focus the UML. Changes incorporated in UML 2 have improved UML’s suitability for software architectural documentation, but UML is still an out of your depth for documenting some types of architectural information. In this paper, there is description of documenting component and connector using UML but in particular case, documenting architectural connectors and components remains problematic.
We show how task-scheduling techniques can be integrated into compilers for parallel languages. Such an integration allows to compile parallel languages without the need for explicit definition of data distributions and control-flow parallelism. Our approach is robust when libraries are used. The key technique is the use of hierarchically scheduling malleable tasks, i.e., tasks that can be executed on several processors.
International Journal of Computational Engineering ScienceVol. 05, No. 03, pp. 471-479 (2004) No AccessEFFECTS OF HEAT AND MASS TRANSFER ON NONLINEAR MHD BOUNDARY LAYER FLOW OVER A VERTICAL SURFACE WITH VARIABLE STREAM FUNCTIONSS. P. ANJALI DEVI and R. KANDASAMYS. P. ANJALI DEVIDepartment of Mathematics, Bharathiar University, Coimbatore-641 046, India and R. KANDASAMYDepartment of Mathematics, Institute of Road and Transport Technology, Erode-638 316, Indiahttps://doi.org/10.1142/S1465876304002514Cited by:1 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractThe problem concerning with a nonlinear laminar boundary layer, heat and mass transfer flow of an incompressible, viscous and electrically conducting fluid past a continuously moving infinite vertical porous plate under the influence of a uniform magnetic field is considered. Consideration is given to heat source and thermal diffusion. A similarity transformation has been utilized to convert the nonlinear partial differential equations into nonlinear ordinary differential equations. The numerical solution of the problem is obtained using the Runge Kutta Gill method. Velocity, temperature and concentration fields are shown graphically to study the effects of parameters entering into the problem. Analysis of the results shows that the flow field is influenced appreciably by the presence of suction at the surface, chemical reaction and magnetic effects.Keywords:MHD boundary layer flowsuction at the wallthermal stratificatinRunge Kutta Gill method References C. K. Chen and M. I. Char, Journal of Mathematics and Applied Physics 135, 568 (1998). Google ScholarL. Crane, Journal of Angew. Z. Mathematics Physics 21, 645 (1970). Crossref, Google ScholarJ. Vlegger, Chemical Engineering Science 32, 1517 (1977). Crossref, Google ScholarP. S. Gupta and A. S. Gupta, Canadian Journal of Chemical Engineering 55, 744 (1977). Crossref, Google ScholarG. A. Georgantopouloset al., Astrophysics and Space Science 74, 359 (1981). Google ScholarM. Acharya, L. P. Singh and G. C. Dash, International Journal of Engineering Science 37, 189 (1999). Crossref, Google Scholar S. Gill, Proceeding of Cambridge philosophical Society, (1951) p 96 . Google Scholar R. Byron Bird , Warren E. Stewart and Edwin N. Lightfoot , Transport phenomena ( John Wiley and sons , New York , 1992 ) . Google ScholarAkira Nakayama and Hitoshi Koyama, Applied Science Research 46, 309 (1989). Crossref, Google Scholar FiguresReferencesRelatedDetailsCited By 1Heat transfer—A review of 2004 literatureR.J. Goldstein, W.E. Ibele, S.V. Patankar, T.W. Simon and T.H. Kuehn et al.1 Oct 2010 | International Journal of Heat and Mass Transfer, Vol. 53, No. 21-22 Recommended Vol. 05, No. 03 Metrics History KeywordsMHD boundary layer flowsuction at the wallthermal stratificatinRunge Kutta Gill methodPDF download
International Journal of Computational Engineering ScienceVol. 05, No. 01, pp. 113-132 (2004) No Access3-D COMPUTATIONAL FLUID DYNAMIC ANALYSIS OF EFFECT OF TIP CLEARANCE ON THE PERFORMANCE OF IMPULSE TURBINE FOR WAVE ENERGY CONVERSIONA. THAKKER, T. S. DHANASEKARAN, T. SETOGUCHI, and M. TAKAOA. THAKKERWave Energy Research Team, Department of Mechanical and Aeronautical Engineering, University of Limerick, Limerick, IrelandCorresponding author. Search for more papers by this author , T. S. DHANASEKARANWave Energy Research Team, Department of Mechanical and Aeronautical Engineering, University of Limerick, Limerick, Ireland Search for more papers by this author , T. SETOGUCHIDepartment of Mechanical Engineering, Saga University, 1 Honjo-machi, Saga-shi, Saga 840-8502, Japan Search for more papers by this author , and M. TAKAODepartment of Control Engineering, Matsue National College of Technology, 14-4 Nishiikuma-cho, Matsue-shi, Shane 690-8518, Japan Search for more papers by this author https://doi.org/10.1142/S1465876304002290Cited by:0 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractThis paper depicts numerical analysis on impulse turbine of 0.6 m diameter with fixed guide vanes for wave energy conversion. From the earlier investigations, it is found that one of the reasons for the mismatch between computed and experimental data is due to neglecting tip clearance effect. Hence, a three-dimensional (3-D) model with tip clearance has been generated with structured grids to predict the internal flow and performance of the turbine. As a result, it is found that the comparison between computed and experimental data is good. Computation has been carried out for various tip clearances to understand the effect of tip clearance leakage flow on such unconventional turbine. The change in flow behavior in the turbine blade passage due to tip clearance flow has been studied by comparing the results with without tip clearance, which is impossible by experiments. It is predicted that the efficiency of the turbine has been reduced about 4%, due to tip clearance flow at higher flow coefficients. References T. W. Kim et al. , Aerodynamic performance of an impulse turbine with self-pitch-controlled guide vanes for wave power generator , Proceedings of the 1st KSMY-JSME Thermal and Fluids Engineering Conference, Korea ( 1988 ) . Google ScholarH. Maeda, S. Santhakumar and S. Setoguchi, Renewable Energy 17 (1999) pp. 533–547. Google Scholar S. A. Sjolander , Secondary and tip-clearance flows in axial turbines: Physics of tip-clearance flows-I , Von Karman Institute for Fluid Dynamics, Lecture Series 1997-01 ( 1997 ) . Google Scholar Lakshminarayana, B., (1996), "Fluid dynamics and heat transfer of turbomachinery", John Wiley & Sons, Inc . Google Scholar T. S. Kim et al. , Proceedings of the 10th ISOPE, Seattle, USA, May 28- June 2 ( 2000 ) . Google Scholar A. Thakker et al. , Proceedings of the 11th ISOPE, Stavanger, Norway, June 17-22, 2001 ( 2001 ) . Google Scholar A. Thakker , P. Frawley and E. Sheik Bajeet , Proceedings of the 11th ISOPE, Stavanger, Norway, June 17-22 ( 2001 ) . Google ScholarJ. K. Watterson and S. Raghunathan, JSME International Journal, Series B 41(1), 199 (1998). Google Scholar S. Raghunathan , T. Setoguchi and K. Kaneko , Proceedings Offshore and Mechanics and Polar Engineering Conference ( Edinburgh, UK , 1991 ) . Google ScholarR. Tagori, C. Arakawa and M. Suzuki, Research in Natural Energy SPEY 20 (1987) pp. 127–132. Google ScholarS. Raghunathan, Prog. Aerospace Sci. 31, 335 (1995). Crossref, Google ScholarT. Setoguchiet al., Renewable Energy 23, 261 (2001). Crossref, Google Scholar FiguresReferencesRelatedDetails Recommended Vol. 05, No. 01 Metrics History PDF download
International Journal of Computational Engineering ScienceVol. 05, No. 04, pp. 833-861 (2004) No AccessON THE POISSON'S RATIO EFFECT ON MIXED-MODE STRESS INTENSITY FACTORS AND T-STRESS IN FUNCTIONALLY GRADED MATERIALSGLAUCIO H. PAULINO and JEONG-HO KIMGLAUCIO H. PAULINODepartment of Civil and Environmental Engineering, University of Illinois at Urbana-Champhaign, Newmark Laboratory, 205 North Mathews Avenue, Urbana, IL 61801, USA Search for more papers by this author and JEONG-HO KIMDepartment of Civil and Environmental Engineering, University of Illinois at Urbana-Champhaign, Newmark Laboratory, 205 North Mathews Avenue, Urbana, IL 61801, USACurrent address: Department of Civil and Environmental Engineering, University of Connecticut, 261 Glenbrook Rd., Storrs, CT 06269-2037, USA. Search for more papers by this author https://doi.org/10.1142/S1465876304002691Cited by:16 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractPoisson's ratio is an important factor for fracture of functionally graded materials (FGMs). It may have significant influence on fracture parameters (e.g. stress intensity factors and T-stress) for a crack in FGMs under mixed-mode loading conditions, while its effect on such parameters is negligible in homogeneous materials. For instance, when tension load is applied in the direction parallel to material gradation, the fracture parameters may show significant influence on the Poisson's ratio. This paper uses a new formulation, so-called non-equilibrium formulation, of the interaction integral method. It also presents a few numerical examples where Poisson's ratio is assumed either constant or linearly varying function, and Young's modulus is assumed to be exponential or hyperbolic-tangent function.Keywords:Functionally graded material (FGM)fracture mechanicsstress intensity factor (SIF)T-stressinteraction integralfinite element method (FEM)Poisson's ratio References J. W. Eischen, International Journal of Fracture 34(1), 3 (1987). Crossref, Google ScholarJ.-H. Kim and G. H. Paulino, International Journal for Numerical Methods in Engineering 53(8), 1903 (2002). Crossref, Google ScholarP. R. Marur and H. V. Tippur, International Journal of Solids and Structures 37(38), 5353 (2000). Crossref, Google ScholarJ. Dolbow and M. Gosz, International Journal of Solids and Structures 39(9), 2557 (2002). Crossref, Google ScholarB. N. Rao and S. Rahman, Engineering Fracture Mechanics 70(1), 1 (2003). Crossref, Google ScholarJ.-H. Kim and G. H. Paulino, International Journal for Numerical Methods in Engineering 58(10), 1457 (2003). Crossref, Google ScholarJ.-H. Kim and G. H. Paulino, Journal of Applied Mechanics 72(3), 351 (2005). Crossref, Google ScholarT. L. Becker Jr., R. M. Cannon and R. O. Ritchie, International Journal of Solids and Structures 38(32-33), 5545 (2001). Crossref, Google ScholarJ.-H. Kim and G. H. Paulino, Computer Methods in Applied Mechanics and Engineering 192(11-12), 1463 (2003). Crossref, Google ScholarG. H. Paulino and J.-H. Kim, Engineering Fracture Mechanics 71(13–14), 1907 (2004). Crossref, Google ScholarJ. K. Knowles and E. Sternberg, Archive for Rational Mechanics and Analysis 44(2), 187 (1972). Crossref, Google ScholarB. Budiansky and J. R. Rice, Journal of Applied Mechanics 40(1), 201 (1973). Crossref, Google ScholarJ. H. Chang and A. J. Chien, International Journal of Fracture 114(3), 267 (2002). Crossref, Google Scholar M. F. Kanninen and C. H. Popelar , Advanced Fracture Mechanics ( Oxford University Press , New York , 1985 ) . Google ScholarJ. F. Yau, S. S. Wang and H. T. Corten, Journal of Applied Mechanics 47(2), 335 (1980). Crossref, Google ScholarM. L. Williams, Journal of Applied Mechanics 24(1), 109 (1957). Crossref, Google ScholarP. Gu, M. Dao and R. J. Asaro, Journal of Applied Mechanics 34(1), 1 (1997). Google ScholarG. Anlas, M. H. Santare and J. Lambros, International Journal of Fracture 104(2), 131 (2000). Crossref, Google ScholarG. Bao and H. Cai, Acta Mechanica 45(3), 1055 (1997). Google ScholarG. Bao and L. Wang, International Journal of Solids and Structures 32(19), 2853 (1995). Crossref, Google ScholarZ.-H. Jin and N. Noda, Journal of Applied Mechanics 61(3), 738 (1994). Crossref, Google ScholarJ. Eftis, N. Subramonian and H. Liebowitz, Engineering Fracture Mechanics 9(1), 189 (1977). Crossref, Google Scholar S. P. Timoshenko and J. N. Goodier , Theory of Elasticity , 3rd edn. ( McGraw-Hill , New York , 1987 ) . Google ScholarJ. R. Rice, Journal of Applied Mechanics 35(2), 379 (1968). Crossref, Google ScholarI. S. Raju and K. N. Shivakumar, Engineering Fracture Mechanics 37(4), 707 (1990). Crossref, Google ScholarJ.-H. Kim and G. H. Paulino, Journal of Applied Mechanics 69(4), 502 (2002). Crossref, Google Scholar R. D. Cook et al. , Concepts and applications of finite element analysis (4th edition) ( John Wiley & Sons, Inc. , New York , 2001 ) . Google Scholar P. A. Wawrzynek. Interactive finite element analysis of fracture processes: an integrated approach. M.S. Thesis, Cornell University, 1987 . Google Scholar P. A. Wawrzynek and A. R. Ingraffea. Discrete modeling of crack propagation: theoretical aspects and implementation issues in two and three dimensions. Report 91-5, School of Civil Engineering and Environmental Engineering, Cornell University, 1991 . Google ScholarM. H. Santare and J. Lambros, Journal of Applied Mechanics 67(4), 819 (2000). Crossref, Google ScholarF. Erdogan, Composites Engineering 5(7), 753 (1995). Crossref, Google ScholarF. Delale and F. Erdogan, Journal of Applied Mechanics 50(3), 609 (1983). Crossref, Google ScholarF. Erdogan and B. H. Wu, Journal of Applied Mechanics 64(3), 449 (1997). Crossref, Google ScholarY.-S. Chan, G. H. Paulino and A. C. Fannjiang, International Journal of Solids and Structures 38(17), 2989 (2001). Crossref, Google ScholarF. Delale and F. Erdogan, Journal of Applied Mechanics 55(2), 317 (1988). Crossref, Google ScholarN. I. Shbeeb, W. K. Binienda and K. L. Kreider, Journal of Applied Mechanics 66(2), 492 (1999). Crossref, Google ScholarN. I. Shbeeb, W. K. Binienda and K. L. Kreider, Journal of Applied Mechanics 66(2), 501 (1999). Crossref, Google ScholarT. Honein and G. Herrmann, Journal of the Mechanics and Physics of Solids 45(5), 789 (1997). Crossref, Google ScholarN. Konda and F. Erdogan, Engineering Fracture Mechanics 47(4), 533 (1994). Crossref, Google Scholar G. H. Paulino and Z. Dong. A novel application of the singular integral equation approach to evaluate T-stress in functionally graded materials (in preparation) . Google Scholar FiguresReferencesRelatedDetailsCited By 16Interaction of Two Coaxial Penny-Shaped Cracks Near an Arbitrarily Graded Interface in Functionally Graded Materials: Exact and Approximate SolutionsX. W. Chen and Z. Q. Yue17 January 2023 | Journal of Applied Mechanics, Vol. 90, No. 5Complete solution for the axisymmetric problem of a penny-shaped crack near and parallel to an arbitrarily graded interface in FGMsX.W. Chen, Z.Q. Yue and Shuling Wang1 Jul 2022 | International Journal of Solids and Structures, Vol. 151Computation of SIFs for cracks in FGMs and TBC under mechanical and thermal loadingsYazid Ait Ferhat and Abdelkader Boulenouar18 September 2020 | International Journal on Interactive Design and Manufacturing (IJIDeM), Vol. 14, No. 4Stress analysis of functional gradient strip due to transient thermal heatGuangping Zou and Nadiia Dergachova19 July 2017 | ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 98, No. 1Elastic field in composite cylinders made of functionally graded coatingsM. Mohammadi, G.C. Saha and A.H. Akbarzadeh1 Apr 2016 | International Journal of Engineering Science, Vol. 101Determining the mixed mode stress intensity factors of surface cracks in functionally graded hollow cylindersAli Shaghaghi Moghaddam, Marco Alfano and Rahmatollah Ghajar1 Jan 2013 | Materials & Design, Vol. 43A BDEM for transient thermoelastic crack problems in functionally graded materials under thermal shockA.V. Ekhlakov, O.M. Khay, Ch. Zhang, J. Sladek and V. Sladek1 May 2012 | Computational Materials Science, Vol. 57Numerical investigation of the mode III stress intensity factors in FGMs considering the effect of graded Poisson’s ratioRahmatollah Ghajar and Ali Shaghaghi Moghaddam1 May 2011 | Engineering Fracture Mechanics, Vol. 78, No. 73D crack analysis in functionally graded materialsCh. Zhang, M. Cui, J. Wang, X.W. Gao and J. Sladek et al.1 Feb 2011 | Engineering Fracture Mechanics, Vol. 78, No. 3Finite element evaluation of stress intensity factors in curved non-planar cracks in FGMsAli Shaghaghi Moghaddam, Rahmatollah Ghajar and Marco Alfano1 Jan 2011 | Mechanics Research Communications, Vol. 38, No. 1A thermomechanical fracture modeling and simulation for functionally graded solids using a residual-strain formulationGanesh Anandakumar and Jeong-Ho Kim12 February 2010 | International Journal of Fracture, Vol. 164, No. 1Influence of the spatial variation of Poisson’s ratio upon the elastic field in nonhomogeneous axisymmetric bodiesMohsen Mohammadi and John R. Dryden1 Feb 2009 | International Journal of Solids and Structures, Vol. 46, No. 3-4A Generalized Interaction Integral Method for the Evaluation of the T-Stress in Orthotropic Functionally Graded Materials Under Thermal LoadingJeong-Ho Kim and Amit KC22 July 2008 | Journal of Applied Mechanics, Vol. 75, No. 5Interaction integrals for thermal fracture of functionally graded materialsAmit KC and Jeong-Ho Kim1 May 2008 | Engineering Fracture Mechanics, Vol. 75, No. 8Thermal fracture model for a functionally graded plate with a crack normal to the surfaces and arbitrary thermomechanical propertiesLi-Cheng Guo, Naotake Noda and Linzhi Wu1 Mar 2008 | Composites Science and Technology, Vol. 68, No. 3-4Modeling method for a crack problem of functionally graded materials with arbitrary properties—piecewise-exponential modelLi-Cheng Guo and Naotake Noda1 Oct 2007 | International Journal of Solids and Structures, Vol. 44, No. 21 Recommended Vol. 05, No. 04 Metrics History KeywordsFunctionally graded material (FGM)fracture mechanicsstress intensity factor (SIF)T-stressinteraction integralfinite element method (FEM)Poisson's ratioPDF download
International Journal of Computational Engineering ScienceVol. 05, No. 01, pp. 235-244 (2004) No AccessVAPOR FLOW ANALYSIS IN PARTIALLY-HEATED CONCENTRIC ANNULAR HEAT PIPESMOHAMMAD LAYEGHI and ALI NOURI-BORUJERDIMOHAMMAD LAYEGHIMechanical Engineering Department, Sharif University of Technology, Azadi Ave., Tehran. P. O. Box: 11365-9567, Iran and ALI NOURI-BORUJERDIMechanical Engineering Department, Sharif University of Technology, Azadi Ave., Tehran. P. O. Box: 11365-9567, Iranhttps://doi.org/10.1142/S1465876304002332Cited by:9 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractThe steady-state laminar and incompressible vapor flow in four partially-heated concentric annular heat pipe (CAHP) is studied. The governing equations are solved numerically, using finite volume approach based on collocated grids. The first order upwind scheme and the QUICK scheme are used in the numerical solution. The vapor pressure distributions and velocity profiles along the annular vapor space are predicted for a number of test cases in the range of low to moderate radial Reynolds numbers. The results show that in a partially-heated annular heat pipe, as the radial Reynolds number increases, a number of recirculation zones may be created at both ends of the evaporator and condenser sections. The size and location of the recirculation zones are predicted and their effects on the performance of an annular heat pipe are discussed qualitatively.Keywords:Laminar and Incompressible FlowHeat TransferAnnular Heat PipeNumerical Method References A. Faghri, Numerical Heat Transfer 10(6), 583 (1986). Google ScholarA. Faghri and S. Parvani, Journal of Thermophysics and Heat Transfer 2(2), 165 (1988). Crossref, Google ScholarA. Faghri and S. Thomas, Journal of Heat Transfer 111, 851 (1989). Crossref, Google ScholarA. Faghri, Journal of Heat Transfer 111, 851 (1989). Crossref, Google ScholarQ. Wanget al., ASME Journal of Engineering for Turbines and Power 122, 99 (2000). Crossref, Google Scholar G. P. Peterson , An Introduction to Heat Pipes : Modeling, Testing, and Applications ( John Wiely , New York , 1994 ) . Google Scholar T. P. Cotter ( Los Alamos Scientific Laboratory , 1965 ) . Google ScholarC. A. Busse, Pressure drop in the vapor phase of long heat pipes, Proc. 1967 IEEE Thermionic Conversion Specialist Conference (Palo Alto, California, 1967) p. 391. Google Scholar Bankston C. A. and Smith H. J., "Incompressible laminar flow in cylindrical heat pipes", ASME PAPER 17-WAIHT-15, 1997 . Google ScholarA. R. Rohani and C. L. Tien, International Journal of Heat Mass Transfer 17, 61 (1974). Google Scholar S. W. Chi , Hear Pipe Theory and Pracfice ( Hemisphere , Washington, D.C. , 1976 ) . Google Scholar P. D. Dunn and D. A. Reay , Hear Pipes ( Pergamon, Oxford , 1982 ) . Google Scholar A. Faghri , Heat Pipe Science and Technology ( Taylor & Francis , Washington, D. C. , 1995 ) . Google Scholar S. V. Patankar , Numerical heat transfer and fluid flow ( Hemisphere , New York , 1980 ) . Crossref, Google Scholar J. H. Ferziger and M. Peric' , Computational Methods for Fluid Dynamics , 2nd edn. ( 1999 ) . Crossref, Google ScholarC. M. Rhie and W. L. Chow, AIAA Journal 21, 1525 (1983). Crossref, Google ScholarH. K. Moffat, Journal of Fluid Mechanics 18, 23 (1964). Google Scholar FiguresReferencesRelatedDetailsCited By 9Analytical study of multiple evaporator heat pipe with nanofluid; A smart material for satellite equipment cooling applicationP.R. Mashaei, M. Shahryari and S. Madani1 Dec 2016 | Aerospace Science and Technology, Vol. 59Numerical hydrothermal analysis of water-Al2O3 nanofluid forced convection in a narrow annulus filled by porous medium considering variable propertiesP. R. Mashaei, M. Shahryari and S. Madani26 May 2016 | Journal of Thermal Analysis and Calorimetry, Vol. 126, No. 2Numerical simulation of nanofluid application in a horizontal mesh heat pipe with multiple heat sources: A smart fluid for high efficiency thermal systemP.R. Mashaei, M. Shahryari, H. Fazeli and S.M. Hosseinalipour1 May 2016 | Applied Thermal Engineering, Vol. 100Numerical investigation of roll heat pipe type for heat exchangers thermal managementTaoufik Brahim and Abdelmajid Jemni1 Nov 2015 | Applied Thermal Engineering, Vol. 90Effect of nanofluid on thermal performance of heat pipe with two evaporators; application to satellite equipment coolingP.R. Mashaei and M. Shahryari1 Jun 2015 | Acta Astronautica, Vol. 111Numerical investigation of hydrodynamics and thermal performance of a specially configured heat pipe for high-temperature thermal energy storage systemsMahboobe Mahdavi, Songgang Qiu and Saeed Tiari1 Apr 2015 | Applied Thermal Engineering, Vol. 81Numerical simulation of cylindrical heat pipe considering non-Darcian transport for liquid flow inside wick and mass flow rate at liquid–vapor interfaceN. Pooyoo, S. Kumar, J. Charoensuk and A. Suksangpanomrung1 Mar 2014 | International Journal of Heat and Mass Transfer, Vol. 70Heat transfer—A review of 2004 literatureR.J. Goldstein, W.E. Ibele, S.V. Patankar, T.W. Simon and T.H. Kuehn et al.1 Oct 2010 | International Journal of Heat and Mass Transfer, Vol. 53, No. 21-22Three-dimensional numerical analysis of heat and mass transfer in heat pipesTarik Kaya and John Goldak28 July 2006 | Heat and Mass Transfer, Vol. 43, No. 8 Recommended Vol. 05, No. 01 Metrics History KeywordsLaminar and Incompressible FlowHeat TransferAnnular Heat PipeNumerical MethodPDF download
International Journal of Computational Engineering ScienceVol. 05, No. 01, pp. 225-233 (2004) No AccessDESIGN AND MULTIOBJECTIVE OPTIMIZATION OF THE PARAMETERS OF SWITCHED RELUCTANCE MOTORCARO LUCAS, FERESHTEH ABBAS AZIMI, JAVAD MOGHANI, and HASSAN GHAFOORI FARDCARO LUCASCenter of Excellent on Control and Intelligent Processing, Department of Electrical and Computer Engineering, The University of Tehran, IranSchool of Intelligent Systems, IPM. PO.Box: 17445/454, Tehran, Iran Search for more papers by this author , FERESHTEH ABBAS AZIMISchool of Intelligent Systems, IPM. PO.Box: 17445/454, Tehran, IranAzad University, South Branch, Tehran, Iran Search for more papers by this author , JAVAD MOGHANIDepartment of Electrical Engineering, The University of Amir Kabir, Iran Search for more papers by this author , and HASSAN GHAFOORI FARDSchool of Intelligent Systems, IPM. PO.Box: 17445/454, Tehran, IranDepartment of Electrical Engineering, The University of Amir Kabir, Iran Search for more papers by this author https://doi.org/10.1142/S1465876304002320Cited by:2 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractSwitched reluctance motor (SRM) has been the subject of many investigations in recent years. The SR technology is a feasible and economically advantageous option for future electromotor production in Iran.However, computational intensive analysis methods (e.g. finite element (FE) analysis) and iterative search for optimal values of design parameters (e.g. genetic algorithms) cannot be jointly carried out online. In this paper, we outline a three-stages design process for determination of the optimal electromotor specifications. In the first stage, FE analysis is used for computation of performance characteristics associated with various design parameters. Next, an interpolator is trained to establish a mapping from design parameters to performance characteristics. Finally the latter values are optimized via multicriteria genetic algorithm.Keywords:Switched reluctance motorFinite elementRegressionGenetic algorithmMultiobjective optimization References T. J. E. Miller, Switched reluctance motors and their control (Clarendon Press, Oxford, U.K, 1993) pp. 1–11, 115-117,164-175. Google ScholarT. S. Low, H. Lin and S. X. Chen, IEEE Trans. on Magnetics 31(6), 3503 (1995). Crossref, Google ScholarM. Moallem and C. M. Ong, IEEE Trans. on Energy Conversion 5(4), 733 (1990). Crossref, Google ScholarR. Krishnan, R. Arumugam and James F. Lindsay, IEEE Trans. on Industry Appl. 24(3), 456 (1988). Crossref, Google ScholarW. E. Boyseet al., IEEE Trans. on Magnetics (1992). Google Scholar C. Lucas et al. , A robust speed controller for switched reluctance motor with nonlinear QFT design approach , IEEE IAS 2000, Annual meeting Conference on Industry Application, Oct. 2000, Rome, Italy . Google Scholar M. N. Anwar and Iqbal Husain, "Design of a switched reluctance machine for wide speed range operation", ICEM To be presented on ICEM, Espoo, Finland, pp. 1581-1585, August 2000 . Google Scholar B. Mirzaeian, Multi-objective genetic-fuzzy optimal design of switched reluctance motor", Ph.D. Thesis, Isfahan University, Iran, 2000 . Google ScholarLahteenmaki Jussi, Genetic algorithm in optimization of electric machines, The Research Symposium of Young Scientists: Actual Problems of Electrical Drives and Industry Automation, 1-8, June 1997, lohusalu, Estonia pp. 29–33, http://www.ene.ttu.ee/Elektriajamid/teadus/lohusalu1997/…/symp977. Google ScholarZ. Michalewicz, Genetic algorithms + Data structures = Evolution Programs, 3rd edn. (Springer Verlag, 1992) pp. 168–171. Crossref, Google ScholarT. P. Hong and H. S. Wang, A dynamic mutation genetic algorithm, IEEE proc. International conference on Systems and Cybernetics (1996) pp. 2000–2005. Google Scholar C. A. Coello-Coello, "An empirical study of evolutionary techniques for Multiobjective Optimization in engineering design", Ph.D. dissertation, Dept. Co,put. Sci., Tulane Univ., New Orlands, LA, pp. l-451996 . Google Scholar C. Houck , J. Joines and M. Kay , A genetic algorithm for function optimization: A matlab implementation ( North Carolina State Univ. , Raleigh , 1995 ) , http://www.ie.ncsu.edu/mirage/GAToolBox/gaot . Google Scholar Ali Marjovi, "Intelligent control of SRM", M.S. Thesis of Control Engineering, University of Tehran, Faculty of Engineering Department of Electrical and Computer Engineering, Iran, Sept. 1998 . Google Scholar "Vector-Field software for electromagnetic design", http://www. vectorfields. Com /files /html/applications/apps-frame.html . Google Scholar FiguresReferencesRelatedDetailsCited By 2Finite Element Design and Multi-objective Optimization of Four Pole Reluctance Motor Based on NSGA-II Intelligent AlgorithmEmmanuel C. Abunike, Ogbonnaya I. Okoro and Innocent E. Davidson13 Sep 2021BELBIC and Its Industrial Applications: Towards Embedded Neuroemotional Control CodesignCaro Lucas1 Jan 2011 Recommended Vol. 05, No. 01 Metrics History KeywordsSwitched reluctance motorFinite elementRegressionGenetic algorithmMultiobjective optimizationPDF download
International Journal of Computational Engineering ScienceVol. 05, No. 03, pp. 535-556 (2004) No AccessANALYSIS OF THREE-DIMENSIONAL LOCKING-FREE CURVED BEAM ELEMENTZ. H. ZHU and S. A. MEGUIDZ. H. ZHUEngineering Mechanics and Design Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario, Canada M5S 7G8, Canada Search for more papers by this author and S. A. MEGUIDEngineering Mechanics and Design Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario, Canada M5S 7G8, CanadaCorresponding author. Search for more papers by this author https://doi.org/10.1142/S1465876304002551Cited by:8 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractMost existing curved beam elements suffer from poor convergence difficulties and a heavy computational burden while limit themselves to 2D problems. In this paper, we address and overcome these difficulties by developing a new three-noded locking-free 3D curved beam element. The element formulations, which employ coupled consistent polynomial displacement fields, satisfy the membrane locking-free requirement of being able to recover the inextensible bending mode of the curved beam. Quintic transverse displacement interpolation functions are used to represent the bending deformation of the beam, while the axial and torsional displacement fields are derived by integration of the presumably linear membrane and torsional shear strain fields, which are coupled with the transverse displacement fields. Numerical results of two- and three-dimensional applications are presented to demonstrate the superior accuracy and high convergence rate of the newly developed curved beam element compared with existing ones.Keywords:3D curved beamfinite element methodmembrane lockingcurvilinear strain descriptioncoupled consistent polynomial displacement field References A. Gobetti and R. Nascimbene, 'Elaso-platic, nonlinear analysis of a locking-free shear/flexible curved beam element', European Conference on Computational Mechanics 2001, Cracow, Poland, 2001 . Google ScholarP. Litewka and J. Rakowski, International Journal for Numerical Methods in Engineering 44, 265 (1999). Google ScholarP. G. Lee and H. C. Sin, International Journal for Numerical Methods in Engineering 37, 989 (1994). Crossref, Google ScholarD. Sengupta and S. Dasgupta, International Journal for Numerical Methods in Engineering 40, 1801 (1997). Crossref, Google ScholarP. Raveendranath, G. Singh and G. V. Rao, International Journal for Numerical Methods in Engineering 51, 85 (2001). Crossref, Google ScholarG. Cantin and R. Clough, AIAA 6, 1057 (1968). Crossref, Google ScholarD. G. Ashwell and A. B. Sabir, International Journal of Mechanical Science 13, 133 (1971). Crossref, Google ScholarJ. E. F. Guimaraes and G. R. Heppler, Computers and Structures 45, 405 (1997). Crossref, Google ScholarD. J. Dawe, Finite elements for thin shells and curved members, eds. D. G. Ashwell and R. H. Gallagher (John Wiley, London, 1976) pp. 131–153. Google ScholarH. R. Meck, Computers and Structures 11, 265 (1980). Crossref, Google ScholarH. Stolarski and T. Belytschko, Journal of Applied Mechanics 49, 172 (1981). Crossref, Google ScholarG. Prathap and G. R. Bhashyam, International Journal for Numerical Methods in Engineering 18, 195 (1982). Crossref, Google ScholarG. Prathap and G. R. Bhashyam, International Journal for Numerical Methods in Engineering 23, 1313 (1986). Google ScholarT. S. Balasubramanian and G. Prathap, Computers and Structures 33, 281 (1989). Crossref, Google ScholarM. L. Bucalem and K. J. Bathe, Applied Mechanics Review 48, S25 (1995). Crossref, Google ScholarP. Raveendranath, G. Singh and B. Pradhan, International Journal for Numerical Methods in Engineering 44, 265 (1999). Crossref, Google ScholarP. Raveendranath, G. Singh and B. Pradhan, Computers and Structures 78, 583 (2000). Crossref, Google ScholarJ. Choi and J. Lim, Computers and Structures 55, 379 (1995). Google Scholar A. Love, A treatise on the mathematical theory of elasticity, 4th edn. (The University Press, Cambridge, 1952). Google Scholar FiguresReferencesRelatedDetailsCited By 8Strong and weak form solutions of curved beams via Carrera’s unified formulationGabriele De Pietro, Alberto Garcia de Miguel, E. Carrera, Gaetano Giunta and Salim Belouettar et al.5 November 2018 | Mechanics of Advanced Materials and Structures, Vol. 27, No. 15A Three-Dimensional Curved Beam Element for Helical Components ModelingRodrigo Provasi and Clóvis de Arruda Martins16 July 2014 | Journal of Offshore Mechanics and Arctic Engineering, Vol. 136, No. 4A shear locking-free spatial beam element with general thin-walled closed cross-sectionXiaoFeng Wang, QingShan Yang and Siu-seong Law1 Jan 2014 | Engineering Structures, Vol. 58Vibration modelling of helical springs with non-uniform endsJamil M. Renno and Brian R. Mace1 Jun 2012 | Journal of Sound and Vibration, Vol. 331, No. 12A thick plate model for bending and twisting of CANDU fuel endplatesX. Zhang and S.D. Yu1 Oct 2010 | Nuclear Engineering and Design, Vol. 240, No. 10Vibration analysis of a new curved beam elementZ.H. Zhu and S.A. Meguid1 Jan 2008 | Journal of Sound and Vibration, Vol. 309, No. 1-2Elastodynamic Analysis of Aerial Refueling Hose Using Curved Beam ElementZ. H. Zhu and S. A. Meguid1 Jun 2006 | AIAA Journal, Vol. 44, No. 6Elastodynamic analysis of low tension cables using a new curved beam elementZ.H. Zhu and S.A. Meguid1 Mar 2006 | International Journal of Solids and Structures, Vol. 43, No. 6 Recommended Vol. 05, No. 03 Metrics History Keywords3D curved beamfinite element methodmembrane lockingcurvilinear strain descriptioncoupled consistent polynomial displacement fieldPDF download
International Journal of Computational Engineering ScienceVol. 05, No. 04, pp. 863-891 (2004) No AccessTHE HYBRID BOUNDARY ELEMENT METHOD APPLIED TO PROBLEMS OF POTENTIAL THEORY IN NONHOMOGENEOUS MATERIALSNEY A. DUMONT, RICARDO A. P. CHAVES, and GLAUCIO H. PAULINONEY A. DUMONTDepartamento de Engenharia Civil, Pontifícia Universidade Católica do Rio de Janeiro, Rua Marquês de São Vicente, 225, RJ 22453-900, Brazil, RICARDO A. P. CHAVESDepartamento de Engenharia Civil, Pontifícia Universidade Católica do Rio de Janeiro, Rua Marquês de São Vicente, 225, RJ 22453-900, Brazil, and GLAUCIO H. PAULINODepartment of Civil and Environmental Engineering, University of Illinois, Newmark Laboratory, 205 North Mathews Avenue Urbana, IL 61801-2352, USAhttps://doi.org/10.1142/S1465876304002708Cited by:5 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractSince the introduction of the hybrid boundary element method in 1987, it has been applied to various problems of elasticity and potential theory, including time-dependent problems. This paper focuses on establishing the conceptual framework for applying both the variational formulation and a simplified version of the hybrid boundary element method to nonhomogeneous materials. Several classes of fundamental solutions for problems of potential are derived. Thus, the boundary-only feature of the method is preserved even with a spatially varying material property. Several numerical examples are given in terms of an efficient patch test including irregularly bounded, unbounded, and multiply connected regions submitted to high gradients. References T. T. H. Pian, Proc. Conf. on Matrix Meths. in Struct. Mech. (Wright Patterson Air Force Base, Ohio, 1966) p. 457. Google ScholarN. A. Dumont, Boundary Element Techniques: Applications in Fluid Flow and Computational Aspects, eds. C. A. Brebbia and W. Venturini (Computational Mechanics Publications, Adlard and Son Ltd., Southampton, 1987) p. 225. Google ScholarN. A. Dumont, Applied Mechanics Reviews 42(11), S54 (1989). Crossref, Google ScholarN. A. Dumont and R. Oliveira, Int. J. of Sol. Struct. 38(10-13), 1813 (2001). Crossref, Google ScholarN. A. Dumont and A. A. O. Lopes, Fatigue & Fracture of Engineering Materials & Structures 26, 151 (2003). Crossref, Google ScholarN. A. Dumont and M. U. Quintana Cossio, Building Research Journal 49(1), 35 (2001). Google ScholarL. Gaulet al., Int. J. of Sol. Struct. 38(10-13), 1871 (2001). Crossref, Google Scholar R. A. P. Chaves, Study of the Hybrid Boundary Element Method and Proposition of a Simplified Formulation, M.Sc. Dissertation (in Portuguese), PUC-Rio, Brazil (1999) . Google ScholarN. A. Dumont and R. A. P. Chaves, Book of Abstracts 5th U.S. National Congress on Computational Mechanics (Minisymposium Advances in Boundary Element Methods) () (University of Colorado, Boulder, USA, 1999) p. 68. Google Scholar N. A. Dumont and R. A. P. Chaves , XX CILAMCE - 20th Iberian Latin American Congress on Computational Methods in Engineering ( ) ( So Paulo, Brazil , 1999 ) . Google Scholar N. A. Dumont and R. A. P. Chaves , XXI CILAMCE - 21st Iberian Latin American Congress on Computational Methods in Engineering ( ) ( Rio de Janeiro, Brazil , 2000 ) . Google ScholarE. M. Carrillo-Heianet al., Journal of the American Ceramic Society 84(5), 962 (2001). Crossref, Google ScholarM. Tokita, Materials Science Forum 308-311, 83 (1999). Crossref, Google Scholar S. Suresh and A. Mortensen , Fundamentals of Functionally Graded Materials ( Institute of Materials, IOM Communications Ltd. , London , 1998 ) . Google Scholar Y. Miyamoto et al. , Functionally Graded Materials: Design, Processing and Applications ( Kluwer Academic Publishers , Dordrecht, The Netherlands , 1999 ) . Crossref, Google ScholarG. H. Paulino, Z.-H. Jin and R. H. Dodds Jr., Comprehensive Structural Integrity 2, eds. B. Karihaloo and W. G. Knauss (Elsevier, 2003) p. 607. Crossref, Google ScholarY.-S. Chan, G. H. Paulino and A. C. Fannjiang, Int. J. of Sol. Struct. 38(17), 2989 (2001). Crossref, Google ScholarP. A. Martinet al., Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences 458(2024), 1931 (2002). Crossref, Google ScholarY.-S. Chanet al., Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences 460(2046), 1689 (2004). Crossref, Google ScholarL. J. Grayet al., ASME Journal of Applied Mechanics 70(4), 543 (2003). Crossref, Google Scholar S. I. Georghitza , Int. Assoc. Hydraul. Res. , First Symposium on the Fundamentals of Transport Phenomena in Porous Media ( ) ( Haifa, Israel , 1969 ) . Google Scholar J. Bear , Dynamics of Fluids in Porous Media ( Elsevier , New York , 1972 ) . Google ScholarA. H.-D. Cheng, Water Resources Research 20(7), 980 (1984). Crossref, Google ScholarA. H.-D. Cheng, Topics in Boundary Element Research 4, ed. C. A. Brebbia (Springer-Verlag, Berlin, 1987) p. 129. Google ScholarA. Sutradhar and G. H. Paulino, International Journal for Numerical Methods in Engineering 60(13), 2203 (2004). Crossref, Google ScholarA. Sutradhar and G. H. Paulino, Computer Methods in Applied Mechanics and Engineering 193(42-44), 4511 (2004). Crossref, Google Scholar R. A. P. Chaves, The simplified hybrid boundary element method applied to time-dependent problems, Ph.D. Thesis (in Portuguese), PUC-Rio, Brazil (2003) . Google Scholar A. Ben-Israel and T. N. E. Greville , Generalized Inverses: Theory and Applications ( Krieger , New York , 1980 ) . Google ScholarN. A. Dumont, Computer Assisted Mechanics and Engineering Sciences 10, 407 (2003). Google ScholarN. A. Dumont, R. A. P. Chaves and G. H. Paulino, Computational Mechanics - New Frontiers for the New Millennium, eds. S. Valliappan and N. Khalili (Elsevier Science Ltd, 2001) p. 1019. Google ScholarN. A. Dumont, R. A. P. Chaves and G. H. Paulino, Boundary Elements XXIV - Incorporating Meshless Solutions, eds. C. A. Brebbia, A. Tadeu and V. Popov (WIT Press, Southampton, 2002) p. 267. Google Scholar FiguresReferencesRelatedDetailsCited By 5In-plane loading of a bonded rigid disc inclusion embedded at a pre-compressed elastic interface: The role of non-linear interface responsesA.P.S. Selvadurai1 Oct 2020 | Mechanical Systems and Signal Processing, Vol. 144A boundary element implementation for fracture mechanics problems using generalised Westergaard stress functionsNey Augusto Dumont, Elvis Yuri Mamani and Marilene Lobato Cardoso30 July 2018 | European Journal of Computational Mechanics, Vol. 78Reprint of: The best of two worlds: The expedite boundary element methodNey Augusto Dumont and Carlos Andrés Aguilar1 Feb 2013 | Engineering Structures, Vol. 47The best of two worlds: The expedite boundary element methodNey Augusto Dumont and Carlos Andrés Aguilar1 Oct 2012 | Engineering Structures, Vol. 43Recent Advances and Emerging Applications of the Boundary Element MethodY. J. Liu, S. Mukherjee, N. Nishimura, M. Schanz and W. Ye et al.30 March 2012 | Applied Mechanics Reviews, Vol. 64, No. 3 Recommended Vol. 05, No. 04 Metrics History PDF download
International Journal of Computational Engineering ScienceVol. 05, No. 03, pp. 481-494 (2004) No AccessTHREE-DIMENSIONAL WAVE PROPAGATION AND ENERGY FLOWKARL-HEINZ ELMERKARL-HEINZ ELMERCurt-Risch-Institute for Dynamics, Acoustics and Measurement Techniques, University of Hannover, Appelstr. 9a, D–30167 Hannover, Germany Search for more papers by this author https://doi.org/10.1142/S1465876304002526Cited by:0 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractRealistic mechanical wave propagation problems and acoustic problems in transient dynamics with a broad frequency range require very large systems and many timesteps, to obtain reliable numerical solutions with sufficient high accuracy. New algorithms are to be developed to make effective use of todays hardware features and the visualization of complex prozesses like intensity and energy flow in transient dynamics.The propagation of mechanical waves is characterized by the change and interaction of strain energy and kinetic energy in space and time. A fast explicit FD-algorithm for wave propagation problems and acoustic problems is developed to analyse and visualise the complex behavior of traveling waves. This inherent parallel algorithm is based on the solution of the three-dimensional wave equation as a first order formulation in terms of stresses and velocities or acoustic pressure and particle velocity, representing both forms of energy in a direct way. Because of the small storage required and the short computational time, the algorithm allows numerical investigations of large systems with online graphic simulations to analyse the complex real physical behavior of propagating waves and to make numerical results comparable to measured results. Local mesh refinement helps to minimize numerical errors of the discrete model.Examples of applications are given with dispersional effects of traveling waves, instantaneous intensity distribution and local energy flow of propagating and standing waves. The complex behavior of traveling waves in a bar with a crack is analysed as a three-dimensional system. As a result, a non-destructive testing method is described using impact hammer for the detection, localization and quantification of cracks. The size of the defects can be of some order smaller than the used wave length. References J. D. Achenbach , Wave propagation in elastic solids ( North Holland Publishing Company , Amsterdam, New York, Oxford , 1980 ) . Google Scholar K.-H. Elmer. The complex behaviour of traveling waves and numerical methods. In Eurodyn 2002 Conf., München, Germany, 2002 . Google Scholar K.-H. Elmer. Parallel algorithm for three-dimensional wave propagation problems. In F. G. Rammerstorfer H. A. Mang and J. Eberhardsteiner, editors, WCCM V, Fifth World Congress on Computational Mechanics, Vienna, Austria, 2002 . Google ScholarK.-H. Elmer and H. G. Natke, RBCM J. of the Braz. Soc. Mechanical Sciences XX(4), 587 (1998). Google Scholar K.-H. Elmer and R. Schröder. Paralleler algorithmus zur simulation von wellenaus-breitungsvorgängen. In DFG-Abschlussbericht Na 139/32-2, 2000 . Google Scholar L. E. Kinsler et al. , Fundamentals of Acoustics ( John Wiley & Sons, Inc. , Amsterdam, New York, Oxford , 2000 ) . Google Scholar J. Miklowitz , The theory of elastic waves and waveguides ( North Holland Publishing Company , Amsterdam , 1978 ) . Google ScholarG. Pavic, Journal of Sound and Vibration 115(3), 405 (1987). Crossref, Google Scholar J. C. Strikwerda. Finite difference schemes and partial differential equations. Wadsworth & Brooks/Cole Mathematics Series, Pacific Grove, 1989 . Google ScholarN.-E. Wiberg and X. D. Li, International journal for numerical methods in engineering 46, 1781 (1999). Crossref, Google ScholarO. C. Zienkiewicz, Int. J. Num. Meth. Eng. 47, 9 (2000). Crossref, Google ScholarO. C. Zienkiewicz and Y. M. Xie, Earthquake Eng. Struct. Dyn. 20, 871 (1991). Crossref, Google Scholar FiguresReferencesRelatedDetails Recommended Vol. 05, No. 03 Metrics History PDF download
International Journal of Computational Engineering ScienceVol. 05, No. 01, pp. 59-80 (2004) No AccessA COMPARISON OF HIGHER-ORDER COMPACT FINITE DIFFERENCE SCHEMES THROUGH BURGERS' EQUATIONWEN JIUN YAP, WAQAR ASRAR, MAHMOOD K. MAWLOOD, and ASHRAF A. OMARWEN JIUN YAPDepartment of Aerospace Engineering, Universiti Putra Malaysia, 43400 Serdang Selangor, Malaysia Search for more papers by this author , WAQAR ASRARDepartment of Mechanical Engineering, International Islamic University, 53100 Kuala Lumpur, Malaysia Search for more papers by this author , MAHMOOD K. MAWLOODDepartment of Aerospace Engineering, Universiti Putra Malaysia, 43400 Serdang Selangor, Malaysia Search for more papers by this author , and ASHRAF A. OMARDepartment of Aerospace Engineering, Universiti Putra Malaysia, 43400 Serdang Selangor, Malaysia Search for more papers by this author https://doi.org/10.1142/S1465876304002265Cited by:0 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractTwo higher-order compact finite difference approaches, the Hermitian and the Lax-Wendroff are examined by applying them to the viscous Burgers' equation. The difference equations obtained by the two methods were integrated in time through the third-order Strong-Stability-Preserving Runge-Kutta scheme. Absolute errors are computed by using an exact solution. The results are also compared with a second order central difference scheme. The Hermitian approach is far easier to implement. On uniform grids the Lax-Wendroff scheme produces smaller errors during the initial stages, but both methods are equally good for larger durations of integration. The convergence rate of the Hermitian scheme is slightly higher than the Lax-Wendroff scheme although both are of fourth order. Both schemes are unstable beyond a certain step size in time and space. When numerical boundary conditions are imposed, second-order conditions produce the best results whereas linear extrapolation proved to be the worst. It was also observed that large domains were required to implement the numerical boundary conditions properly. There was no detrimental effect on the accuracy of the results obtained through either of the two schemes when the size of the domain was greatly increased. Both schemes showed remarkable improvement in accuracy when clustered grids were employed. However much smaller time steps are required for stable solutions.Keywords:Finite DifferenceHigher OrderViscous Burgers' Equation References S. A. Orszag and M. Israeli, Annual Reviews of Fluid Mechanics 6, 281 (1974). Crossref, Google Scholar M. Ciment and S. H. Leventhal , Higher order compact implicit schemes for hyperbolic equations , Paper presented at SIAM Fall Meeting, October 23-25, 1974, Alexandria, Virginia, USA . Google ScholarR. Hirsh, Journal of Computational Physics 19, 90 (1975). Crossref, Google ScholarY. Adam, Journal of Computational Physics 24, 10 (1977). Crossref, Google ScholarP. D. Lax and B. Wendroff, Communications on Pure and Applied Mathematics 17, 381 (1964). Crossref, Google ScholarJ. K. Dukowicz and J. D. Ramshaw, Journal of Computational Physics 32, 71 (1979). Crossref, Google ScholarR. J. Mackinnon and R. W. Johnson, International Journal for Numerical Methods in Fluids 13, 739 (1991). Crossref, Google ScholarR. J. Mackinnon and G. F. Carey, Journal of Computational Physics 75, 151 (1988). Crossref, Google ScholarS. Abarbanel and A. Kumar, Journal of Scientific Computing 3, 275 (1988). Crossref, Google Scholar W. F. Spotz and G. F. Carey , High-order compact finite difference methods , Proceedings of the 2nd International Conference on Spectral and High Order Methods, University of Houston, pp. 397-407, 1996 . Google Scholar W. F. Spotz, High-Order Compact Finite Difference Schemes for Computational Mechanics, Ph.D. Dissertation, The University of Texas Austin, Texas, USA, 1995 . Google ScholarH. H. Wong and G. D. Raithby, Numerical Heat Transfer 2, 139 (1979). Google ScholarM. M. Gupta, R. P. Manohar and J. W. Stephenson, International Journal for Numerical Methods in Fluids 4, 641 (1984). Crossref, Google ScholarJ. M. Burgers, Proceedings of the Royal Academy of Sciences 43, 2 (1940). Google ScholarJ. D. Cole, Quarterly of Applied Mathematics 9, 225 (1951). Crossref, Google ScholarP. C. Jain and D. N. Holla, International Journal of Non-linear Mechanics 13, 213 (1978). Crossref, Google ScholarM. Ciment, S. H. Leventhal and B. C. Weinberg, Journal of Computational Physics 28, 135 (1978). Crossref, Google ScholarP. Arminjon and C. Beauchamp, International Journal for Numerical Methods in Engineering 12, 415 (1978). Crossref, Google ScholarP. C. Jain and M. Raja, Indian Journal of Pure and Applied Mathematics 10, 1543 (1979). Google ScholarL. Iskandar and A. Mohsen, Numerical Methods for Partial Differential Equations 8, 267 (1992). Crossref, Google ScholarB. M. Herbstet al., International Journal for Numerical Methods in Engineering 20, 1273 (1984). Crossref, Google ScholarJ. Caldwell, P. Wanless and A. E. Cook, Applied Mathematical Modeling 11, 211 (1987). Crossref, Google ScholarE. L. Ortiz and K. S. Pun, Computers and Mathematics with Applicatiions 12B, 1225 (1986). Google ScholarR. F. Sincovec and N. K. Madsen, Association for Computing Transactions on Mathematical Software (ACM TOMS) 1, 222 (1975). Google Scholar K. A. Hoffmann and S. T. Chiang, Computational Fluid Dynamics For Engineers Volume 1. Engineering Education System, 1993 . Google ScholarE. R. Benton and G. W. Platzman, Quarterly of Applied Mathematics 30, 195 (1972). Crossref, Google Scholar S. Gottlieb , C. W. Shu and E. Tadmor , Strong stability preserving high-order time discretization methods , ICASE Report No. 2000-15 ( Institute for Computer Applications in Science and Engineering, NASA Langley Research Center , Hampton, Virginia, USA , 2000 ) . Google Scholar FiguresReferencesRelatedDetails Recommended Vol. 05, No. 01 Metrics History KeywordsFinite DifferenceHigher OrderViscous Burgers' EquationPDF download
Most of the work in the field of topology optimization is concentrated on using sensitivity analysis and optimality criteria methods that need explicit formulation. The design systems are often hard-coded for a specific problem with specialized optimization and FEM routines. This paper presents a work that uses a system approach to solid free form design. It attempts to develop a general topology optimization system that has a wide range of applicability by making use of sophisticated optimization and FEM packages available. A computer design system is implemented with an integration of commercial codes CFSQP and NASTRAN. A pre-processor and a post-processor are developed to assist the optimal design process. The system is tested with benchmark cases for minimum mean compliance and minimum weight designs. The results for the cases are presented, demonstrating the ability of the system to handle complex cases with practical feasibility. The implementation is evaluated with a parametric study of its performance. The key factors for the common problems of topology optimization are examined, including the mesh dependency and numerical instability. The computational efficiency is further studied to indicate the direction for further improvement of the system.
International Journal of Computational Engineering ScienceVol. 05, No. 03, pp. 699-730 (2004) No AccessMULTI-DIMENSIONAL SEMI-LAGRANGIAN CHARACTERISTIC APPROACH TO THE SHALLOW WATER EQUATIONS BY THE CIP METHODYOICHI OGATA and TAKASHI YABEYOICHI OGATADepartment of Mechanical Engineering and Science, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo, 152-8552, Japan Search for more papers by this author and TAKASHI YABEDepartment of Mechanical Engineering and Science, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo, 152-8552, Japan Search for more papers by this author https://doi.org/10.1142/S1465876304002642Cited by:10 Previous AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractWe propose a multi-dimensional scheme to solve the shallow water equations by using the CIP(Constrained Interpolation Profile/Cubic Interpolated Pseudoparticle) method which has the accuracy by one-order of magnitude better than the cubic Lagrange. This third-order accuracy is kept even in non-uniform grid, while the cubic Lagrange becomes the first order. The semi-Lagrangian approach to the characteristic equations has been used for solving gravity waves because it can make time step be much longer than the Courant-Friedrichs-Lewy (CFL) condition. Even in two dimensions, the method can give a symmetrical wave propagation under the large CFL condition. References T. Yabe, F. Xiao and T. Utsumi, J. Comput. Phys. 169, 556 (2001). Crossref, Google ScholarF. H. Harlow and J. E. Welch, Phys. Fluids 8, 2182 (1965). Crossref, Google Scholar I. Kinnmark , The Shallow Water Wave Equations; Formulation, Analysis and Application ( Springer-Verlag , Berlin Heidelberg New York Tokyo , 1986 ) . Crossref, Google ScholarG. Erbes, Mon. Wea. Rev. 121, 3443 (1993). Crossref, Google ScholarH. Takewaki, A. Nishiguchi and T. Yabe, J. Comput. Phys. 61, 261 (1985). Crossref, Google ScholarT. Yabe and E. Takei, J. Phys. Soc. Japan 57, 2598 (1988). Crossref, Google ScholarT. Yabe and T. Aoki, Comput. Phys. Commun 66, 219 (1991). Crossref, Google ScholarT. Yabe, T. Ishikawa and P. Y. Wang, Comput. Phys. Commun. 66, 233 (1991). Crossref, Google Scholar E. F. Toro , Riemann Solvers and Numerical Methods for Fluid Dynamics ( Springer , 1997 ) . Crossref, Google ScholarT. Utsumi, T. Kunugi and T. Aoki, Comput. Phys. Commun. 101, 9 (1997). Crossref, Google ScholarA. Staniforth and J. Côté, Mon. Wea. Rev. 119, 2206 (1991). Crossref, Google ScholarJ. R. Bates and A. Mcdonald, Mon. Wea. Rev. 110, 1831 (1982). Crossref, Google ScholarI. H. Parpia, AIAA Journal 29, 567 (1991). Crossref, Google Scholar T. Aoki and T. Yabe, Multi-dimensional Cubic-Interpolation for ICF Hydrodynamics Simulation, Research Report of National Institute for Fusion Sciences, NIFS-82(1991) . Google ScholarA. Arakawa and V. R. Lamb, Mon. Wea. Rev. 109, 19 (1981). Google ScholarD. G. Dritschel, L. M. Polvani and A. R. Mohebalhojei, Mon. Wea. Rev. 127, 1551 (1999). Crossref, Google ScholarD. L. Williamsonet al., J. Comput. Phys. 102, 211 (1992). Crossref, Google Scholar FiguresReferencesRelatedDetailsCited By 10Bicompact interpolation-characteristic scheme of the third order of approximation for the linear transport equationBoris Vadimovich Rogov1 January 2020 | Keldysh Institute Preprints, No. 106CIP Method of Characteristics for the Solution of Tide Wave EquationsYafei Nie, Kai Fu and Xianqing Lv2 Jul 2018 | Advances in Mathematical Physics, Vol. 2018Tree-based mesh-refinement GPU-accelerated tsunami simulator for real-time operationMarlon Arce Acuña and Takayuki Aoki21 September 2018 | Natural Hazards and Earth System Sciences, Vol. 18, No. 9New optimized fourth-order compact finite difference schemes for wave propagation phenomenaMaurizio Venutelli1 Jan 2015 | Applied Numerical Mathematics, Vol. 87Numerical Study of Violent Impact Flow Using a CIP-Based ModelQiao-ling Ji, Xi-zeng Zhao and Sheng Dong1 Jan 2013 | Journal of Applied Mathematics, Vol. 2013Application of the characteristic CIP method to a shallow water model on the sphereXindong Peng, Yan Chang, Xingliang Li and Feng Xiao19 June 2010 | Advances in Atmospheric Sciences, Vol. 27, No. 4Conservative semi-Lagrangian CIP technique for the shallow water equationsTakashi Yabe and Youichi Ogata7 November 2009 | Computational Mechanics, Vol. 46, No. 1Multi-dimensional conservative semi-Lagrangian method of characteristics CIP for the shallow water equationsKunihiko Toda, Youichi Ogata and Takashi Yabe1 Jul 2009 | Journal of Computational Physics, Vol. 228, No. 13Implementation of a non-oscillatory and conservative scheme into magnetohydrodynamic equationsShin Tanaka, Takayuki Umeda, Yosuke Matsumoto, Takahiro Miyoshi and Tatsuki Ogino31 August 2009 | Earth, Planets and Space, Vol. 61, No. 7Accuracy study of the IDO scheme by Fourier analysisYohsuke Imai and Takayuki Aoki1 Sep 2006 | Journal of Computational Physics, Vol. 217, No. 2 Recommended Vol. 05, No. 03 Metrics History PDF download
International Journal of Computational Engineering ScienceVol. 05, No. 01, pp. 209-224 (2004) No AccessFINITE ELEMENT SIMULATION OF DENDRITIC CRYSTAL GROWTH USING A CONTINUUM APPROACHJIE WU and BO-NAN JIANGJIE WU7 Windy Ridge Lane, New Milford, CT 06776, USA Search for more papers by this author and BO-NAN JIANGDepartment of Mathematics and Statistics, Oakland University, Rachester, MI 48309-4401, USACorresponding Author. Search for more papers by this author https://doi.org/10.1142/S1465876304002319Cited by:0 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractA numerical method is presented to simulate dendritic crystal growth on a fixed mesh. The hyperbolic convective equation for the continuous phase field which identifies the solid and liquid phases is solved by the least-squares finite element method, and the heat conduction equation for the temperature field is solved by the Galerkin finite element method. Without special treatments this method can handle complicated interfacial shapes and physical features.Keywords:Dendritic GrowthCrystal GrowthSolidificationFinite ElementLeast-Squares References S. C. Huang and M. E. Glicksman, Acta Metallurgy 29, 701 (1981). Crossref, Google ScholarS. C. Huang and M. E. Glicksman, Acta Metallurgy 29, 717 (1981). Crossref, Google ScholarA. Schmidt, Journal of Computational Physics 125, 293 (1996). Crossref, Google ScholarJ. A. Sethian and J. Strain, Journal of Computational Physics 98, 231 (1992). Crossref, Google ScholarJ. Strain, Journal of Computational Physics 85, 242 (1989). Google ScholarD. Juric and G. Tryggvason, Journal of Computational Physics 123, 127 (1996). Crossref, Google ScholarA. R. Roosen and J. E. Taylor, Journal of Computational Physics 114, 113 (1994). Crossref, Google ScholarH. S. Udaykumw, L. Mao and R. Mittal, Numerical Heat Transfer, Part B: Fundamentals 42, 389 (2002). Crossref, Google ScholarC. Beckermannet al., Journal of Computational Physics 154, 468 (1999). Crossref, Google ScholarG. Caginalp and P. C. Fife, SIAM Journal of Applied Mathematics 48, 506 (1988). Crossref, Google ScholarG. Caginalp, Physical Review A39, 5887 (1989). Google ScholarG. Caginalp and E. A. Sokolovsky, Journal of Computational Physics 95, 85 (1991). Crossref, Google ScholarG. Fix, Free Boundary Problems: Theory and Applications II, eds. A. Fasano and M. Primicerio (Pitman, Boston, 1983) p. 580. Google ScholarA. Karma and W. J. Rappel, Physical Review E53, 3017 (1996). Google ScholarA. Karma and W. J. Rappel, Physical Review Letters 77, 4050 (1996). Crossref, Google ScholarA. Karma and W. J. Rappel, Physical Review E57, 4323 (1998). Google ScholarO. Penrose and P. C. Fife, Physica D43, 44 (1990). Google ScholarR. Kobayashi, Physica D63, 410 (1993). Google ScholarR. Kupferman, O. Shochet and E. Ben-Jacob, Physical Review A50, 1005 (1994). Google ScholarS.-L. Wang and R. F. Sekerka, Physical Review E53, 3760 (1996). Google ScholarS.-L. Wang and R. F. Sekerka, Journal of Computational Physics 127, 110 (1996). Crossref, Google ScholarJ. A. Warren, IEEE Computational Science and Engineering 2, 38 (1995). Crossref, Google ScholarS. Chenet al., Journal of Computational Physics 135, 8 (1997). Crossref, Google ScholarH. S. Udaykumar, R. Mittal and Shyy Wei, Journal of Computational Physics 153, 535 (1999). Crossref, Google ScholarJ. S. Lee and T. Suzuki, ISIJ International 39, 246 (1999). Crossref, Google ScholarJ.-H. Jeong, N. Goldenfeld and J. A. Dantzig, Physical Review E64, 416021 (2001). Google ScholarX. Tonget al., Physical Review E63, 061601/1 (2001). Google ScholarY. Sasajima and M. Ichimura, Journal of Japan Institute of Light Metals 52, 58 (2002). Crossref, Google ScholarT. Suzukiet al., Journal of Crystal Growth 237-239, 125 (2002). Crossref, Google ScholarH.-J. Diepers, D. Ma and I. Steinbach, Journal of Crystal Growth 237-239, 149 (2002). Crossref, Google ScholarC. W. Lan, C. M. Hsu and C. C. Liu, Journal of Crystal Growth 241, 379 (2002). Crossref, Google ScholarY. H. Shin and C. P. Hong, ISIJ International 42, 359 (2002). Crossref, Google Scholar R. W. Lewis et al. , The Finite Element Method in Heat Transfer Analysis ( John Wiley & Sons , Chichester, England , 1996 ) . Google ScholarJ. U. Brackbill, D. B. Kothe and C. Zemach, Journal of Computational Physics 100, 335 (1992). Crossref, Google Scholar D. Jacqmin, "Three-Dimensional Computations of Droplet Collisions, Coalescence, and Droplet/Wall Interactions Using a Continuum Surface-Tension Method", AIAA-95-0883 . Google ScholarD. Jacqmin, Journal of Computational Physics 155, 96 (1999). Crossref, Google ScholarJ. Wu, S.-T. Yu and B.-N. Jiang, International Journal of Numerical Methods in Engineering 42, 583 (1998). Crossref, Google Scholar J. A. Sethian , Level Set Methods and Fast Marching Methods Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science ( Cambridge University Press , 1999 ) . Google Scholar S. Osher and R. Fedkiv , Level Set Methods and Dynamic Implicit Surfaces ( Springer , Berlin , 2002 ) . Google ScholarJ. A. Sethian and J. Strain, Journal of Computational Physics 98, 231 (1992). Crossref, Google ScholarR. Ahngren, Journal of Computational Physics 106, 337 (1993). Google ScholarJ. W. Cahn, W. B. Hillig and G. W. Sears, Acta Metallurgy 12, 1421 (1964). Crossref, Google Scholar Bo-nan Jiang , The Least-Squares Finite Element Method, Theory and Applications in Computational Fluid Dynamics and Electromagnetics ( Springer , Berlin , 1998 ) . Crossref, Google ScholarB. H. Dennis and G. S. Dulikravich, International Journal of Heat and Fluid Flow 23, 269 (2002). Crossref, Google ScholarS. Osher and J. A. Sethian, Journal of Computational Physics 79, 12 (1988). Crossref, Google Scholar FiguresReferencesRelatedDetails Recommended Vol. 05, No. 01 Metrics History KeywordsDendritic GrowthCrystal GrowthSolidificationFinite ElementLeast-SquaresPDF download
International Journal of Computational Engineering ScienceVol. 05, No. 03, pp. 589-618 (2004) No AccessAN UNSYMMETRIC STRESS FORMULATION FOR REISSNER-MINDLIN PLATES: A SIMPLE AND LOCKING-FREE RECTANGULAR ELEMENTERIKA GARUSI, ANTONIO TRALLI, and ANTONIO CAZZANIERIKA GARUSIDepartment of Engineering, University of Ferrara, via Saragat 1, Ferrara, I–44100, Italy Search for more papers by this author , ANTONIO TRALLIDepartment of Engineering, University of Ferrara, via Saragat 1, Ferrara, I–44100, Italy Search for more papers by this author , and ANTONIO CAZZANIDepartment of Mechanical and Structural Engineering, via Mesiano 77, Trento, I–38100, Italy Search for more papers by this author https://doi.org/10.1142/S1465876304002587Cited by:32 (Source: Crossref) PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractIn the present paper a simple mixed-hybrid element for the linear analysis of Reissner-Mindlin plates is discussed. The element is derived from a modified Reissner functional and standard bilinear (isoparametric) interpolation for displacement and rotations is assumed whereas local stresses (rather than stress resultants and moments) are explicitly modelled. It is assumed that in plane shear stresses are not a priori symmetric. This choice allows to decouple the equilibrium equations, and involves introducing an in-plane infinitesimal rotation field, corresponding to drilling degrees of freedom. Out-of-plane shear stresses are then obtained such that equilibrium equations are exactly satisfied. The proposed element does not exhibit locking effects at all: i.e. the shear deformation energy is zero in the thin plate limit. Details of the formulation are provided, and the performances of the element are assessed with reference to well-established benchmark problems.Research carried on with the financial support of University of Trento and MURST, the Italian Ministry for University and Scientific and Technological Research.Keywords:Finite elementshybrid finite elementsReissner-Mindlin platesshear lockingdrilling dofs References O. C. Zienkiewicz and R. L. Taylor , The Finite Element Method II ( McGraw-Hill , New York , 1991 ) . Google Scholar T. J. R. Hughes , The Finite Element Method — Linear Static and Dynamic Finite Element Analysis ( Prentice Hall , Englewood Cliffs, N.J. , 1987 ) . Google Scholar K.-J. Bathe , Finite Element Procedures ( Prentice Hall , Englewood Cliffs, N.J. , 1996 ) . Google ScholarJ. Mackerle, Finite Elements in Analysis and Design 20, 139 (1995). Crossref, Google ScholarH. T. Y. Yanget al., International Journal for Numerical Methods in Engineering 47, 101 (2000). Crossref, Google ScholarT. J. R. Hughes and T. E. Tezduyar, ASME Journal of Applied Mechanics 48, 587 (1981). Crossref, Google ScholarJ. L. Batoz and M. B. Tahar, International Journal for Numerical Methods in Engineering 18, 1655 (1982). Crossref, Google ScholarK.-J. Bathe and E. N. Dvorkin, International Journal for Numerical Methods in Engineering 21, 367 (1985). Crossref, Google ScholarA. Ibrahimbegovic, Computer Methods in Applied Mechanics and Engineering 110, 195 (1993). Crossref, Google ScholarO. C. Zienckiewiczet al., International Journal for Numerical Methods in Engineering 36, 3043 (1993). Crossref, Google ScholarY. F. Dong, C. C. Wu and J. A. T. Freitas, Computers & Structures 45, 877 (1993). Google ScholarR. L. Taylor and F. Auricchio, International Journal for Numerical Methods in Engineering 36, 3057 (1993). Crossref, Google ScholarF. Auricchio and R. L. Taylor, Computer Methods in Applied Mechanics and Engineering 118, 393 (1994). Crossref, Google ScholarE. M. B. R. Pereira and J. A. T. Freitas, Computer Methods in Applied Mechanics and Engineering 136, 111 (1996). Crossref, Google ScholarR. Ayad, G. Dhatt and L. Batoz, International Journal for Numerial Methods in Engineering 42, 1149 (1998). Crossref, Google ScholarF. Brezzi and M. Fortin, Mathematics of Computation 47, 151 (1986). Crossref, Google ScholarD. N. Arnold and R. S. Falk, SIAM Journal of Mathematical Analysis 21, 281 (1990). Crossref, Google ScholarC. Lovadina, Computer Methods in Applied Mechanics and Engineering 163, 71 (1998). Crossref, Google ScholarA. Iosilevich, K.-J. Bathe and F. Brezzi, International Journal for Numerical Methods in Engineering 40, 3639 (1997). Crossref, Google ScholarG. Prathap, Structural Engineering and Mechanics 5, 853 (1997). Crossref, Google ScholarD. J. Allman, International Journal for Numerical Methods in Engineering 26, 717 (1988). Crossref, Google ScholarR. D. Cook, Computers & Structures 50, 549 (1994). Crossref, Google ScholarK. Y. Sze, Y. S. Sim and A. K. Soh, International Journal for Numerical Methods in Engineering 40, 1785 (1997). Crossref, Google ScholarA. Cazzani and S. N. Atluri, Computational Mechanics 11, 229 (1993). Crossref, Google ScholarE. Reissner, International Journal of Solids and Structures 1, 93 (1965). Crossref, Google ScholarE. Reissner, Theory of Thin Shells – II IUTAM Symposium, ed. F. I. Niordson (Springer-Verlag, Berlin, 1969) p. 15. Crossref, Google ScholarB. Fraeijs de Veubeke, International Journal of Engineering Science 10, 645 (1972). Google ScholarS. N. Atluri, Computers & Structures 18, 98 (1983). Google ScholarE. F. Punch and S. N. Atluri, Computers & Structures 24, 107 (1986). Crossref, Google ScholarS. N. Atluri and A. Cazzani, Archives of Computational Methods in Engineering 2, 49 (1995). Crossref, Google ScholarT. J. R. Hughes and F. Brezzi, Computer Methods in Applied Mechanics and Engineering 72, 105 (1989). Crossref, Google Scholar S. P. Timoshenko and S. Woinowsky-Krieger , Theory of plates and shells , 2nd edn. ( McGraw-Hill , New York , 1959 ) . Google ScholarE. Reissner, ASME Journal of Applied Mechanics 12, 69 (1945). Crossref, Google ScholarR. D. Mindlin, ASME Journal of Applied Mechanics 18, 31 (1951). Crossref, Google ScholarJ. N. Reddy, ASME Journal of Applied Mechanics 51, 745 (1984). Crossref, Google ScholarP. G. Ciarlet and P. Destuynder, Journal de Mécanique 18, 315 (1979). Google ScholarP. Podio-Guidugli, Journal of Elasticity 22, 121 (1989). Crossref, Google ScholarP. Nardinocchi and P. Podio-Guidugli, Meccanica 29, 143 (1994). Crossref, Google ScholarL. Teresi and A. Tiero, Meccanica 32, 143 (1997). Crossref, Google ScholarS. Ebenfeld, Mathematical Methods in the Applied Sciences 22, 1505 (1999). Crossref, Google ScholarM. Savoia, F. Laudiero and A. Tralli, Meccanica 28, 39 (1993). Crossref, Google ScholarM. Savoia, F. Laudiero and A. Tralli, Computational Mechanics 14, 38 (1994). Crossref, Google Scholar S. P. Timoshenko , History of Strength of Materials ( McGraw-Hill , New York , 1953 ) . Google Scholar V. Feodossiev, Résistance des Matériaux, (Éditions Mir, Moscow, 1976) . Google ScholarN. Tullini and M. Savoia, ASME Journal of Applied Mechanics 66, 368 (1999). Crossref, Google ScholarB. Haggblad and K.-J. Bathe, International Journal for Numerical Methods in Engineering 30, 981 (1990). Crossref, Google ScholarT. H. H. Pian, AIAA Journal 2, 1333 (1964). Crossref, Google ScholarA. Benedetti, L. Deseri and A. Tralli, ASCE Journal of Engineering Mechanics 122, 291 (1996). Crossref, Google ScholarE. Garusi and A. Tralli, Computers & Structures 80, 105 (2002). Crossref, Google ScholarT. H. H. Pian and K. Sumihara, International Journal for Numerical Methods in Engineering 20, 1685 (1984). Crossref, Google ScholarK. Y. Sze, C. L. Chow and C. Wanji, Finite Elements in Analysis and Design 7, 61 (1990). Crossref, Google ScholarK.-J. Bathe, Computers & Structures 79, 243 (2001). Crossref, Google Scholar F. Brezzi and M. Fortin , Mixed and Hybrid Finite Elements Methods ( Springer , New York , 1991 ) . Crossref, Google ScholarT. J. R. Hugheset al., Proceedings of the 5th International Symposium on Numerical Methods in Engineering 1, eds. R. Gruberet al. (Springer-Verlag, Berlin, 1989) p. 3. Google Scholar L. S. D. Morley , Skew plates and structures ( Pergamon Press , Oxford , 1963 ) . Google Scholar FiguresReferencesRelatedDetailsCited By 32Cited by lists all citing articles based on Crossref citation.An implicit strong $$\mathrm {G}^{1}$$-conforming formulation for the analysis of the Kirchhoff plate modelM. Cuomo and L. Greco7 August 2018 | Continuum Mechanics and Thermodynamics, Vol. 32, No. 3A refined assumed strain finite element model for statics and dynamics of laminated platesAntonio Cazzani, Mauro Serra, Flavio Stochino and Emilio Turco3 September 2018 | Continuum Mechanics and Thermodynamics, Vol. 32, No. 3Analytical Solutions of 2-dimensional Second Gradient Linear Elasticity for Continua with Cubic-D4 MicrostructureLuca Placidi, Giuseppe Rosi and Emilio Barchiesi14 March 2019Modal analysis of laminates by a mixed assumed-strain finite element modelAntonio Cazzani, Nicola Luigi Rizzi, Flavio Stochino and Emilio Turco26 September 2016 | Mathematics and Mechanics of Solids, Vol. 23, No. 1Meso-scale simulation of concrete multiaxial behaviourLoredana Contrafatto, Massimo Cuomo and Leopoldo Greco16 May 2016 | European Journal of Environmental and Civil Engineering, Vol. 21, No. 7-8The influence of different geometries of matrix/scaffold on the remodeling process of a bone and bioresorbable material mixture with voidsIvan Giorgio, Ugo Andreaus, Tomasz Lekszycki and Alessandro Della Corte7 December 2015 | Mathematics and Mechanics of Solids, Vol. 22, No. 5Comprehensive description of deformation and fracture of solids as wave dynamicsSanichiro Yoshida28 December 2015 | Mathematics and Mechanics of Solids, Vol. 22, No. 5“Fast” and “slow” pressure waves electrically induced by nonlinear coupling in Biot-type porous medium saturated by a nematic liquid crystalGiuseppe Rosi, Luca Placidi and Francesco dell’Isola31 March 2017 | Zeitschrift für angewandte Mathematik und Physik, Vol. 68, No. 2Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic modelLuca Placidi, Ugo Andreaus and Ivan Giorgio12 May 2016 | Journal of Engineering Mathematics, Vol. 103, No. 1Modeling and designing micro- and nano-structured metamaterials: Towards the application of exotic behaviorsAngela Madeo, Alessandro Della Corte, Ivan Giorgio and Daria Scerrato4 December 2015 | Mathematics and Mechanics of Solids, Vol. 22, No. 4An Inverse Method to Get Further Analytical Solutions for a Class of Metamaterials Aimed to Validate Numerical IntegrationsLuca Placidi, Emilio Barchiesi and Antonio Battista12 March 2017Identification of Two-Dimensional Pantographic Structures with a Linear D4 Orthotropic Second Gradient Elastic Model Accounting for External Bulk Double ForcesLuca Placidi, Emilio Barchiesi and Alessandro Della Corte12 March 2017Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticityUgo Andreaus, Francesco dell’Isola, Ivan Giorgio, Luca Placidi and Tomasz Lekszycki et al.1 Nov 2016 | International Journal of Engineering Science, Vol. 108Variational Feedback Control for a nonlinear beam under an earthquake excitationG Pepe, A Carcaterra, I Giorgio and D Del Vescovo5 August 2016 | Mathematics and Mechanics of Solids, Vol. 21, No. 10A 1D higher gradient model derived from Koiter’s shell theoryStefano Gabriele, Nicola Rizzi and Valerio Varano11 June 2014 | Mathematics and Mechanics of Solids, Vol. 21, No. 6The influence of different loads on the remodeling process of a bone and bioresorbable material mixture with voidsIvan Giorgio, Ugo Andreaus and Angela Madeo11 December 2014 | Continuum Mechanics and Thermodynamics, Vol. 28, No. 1-2GBT pre-buckling and buckling analyses of thin-walled members under axial and transverse loadsGerard Taig, Gianluca Ranzi and Angelo Luongo21 December 2014 | Continuum Mechanics and Thermodynamics, Vol. 28, No. 1-2Plane bias extension test for a continuum with two inextensible families of fibers: A variational treatment with Lagrange multipliers and a perturbation solutionFrancesco dell’Isola, Alessandro Della Corte, Leopoldo Greco and Angelo Luongo1 Mar 2016 | International Journal of Solids and Structures, Vol. 81A model for elastic flexoelectric materials including strain gradient effectsKoffi Enakoutsa, Alessandro Della Corte and Ivan Giorgio28 June 2015 | Mathematics and Mechanics of Solids, Vol. 21, No. 2A mathematical model for longitudinal wave propagation in a magnetoelastic hollow circular cylinder of anisotropic material under the influence of initial hydrostatic stressAbo-el-nour N Abd-alla, Fatimah Alshaikh, Ivan Giorgio and Alessandro Della Corte7 May 2015 | Mathematics and Mechanics of Solids, Vol. 21, No. 1Gedanken experiments for the determination of two-dimensional linear second gradient elasticity coefficientsLuca Placidi, Ugo Andreaus, Alessandro Della Corte and Tomasz Lekszycki3 October 2015 | Zeitschrift für angewandte Mathematik und Physik, Vol. 66, No. 6Homogenization à la Piola produces second gradient continuum models for linear pantographic latticesY. Rahali, I. Giorgio, J.F. Ganghoffer and F. dell'Isola1 Dec 2015 | International Journal of Engineering Science, Vol. 97Synthesis of Fibrous Complex Structures: Designing Microstructure to Deliver Targeted Macroscale ResponseFrancesco dell'Isola, David Steigmann and Alessandro Della Corte6 January 2016 | Applied Mechanics Reviews, Vol. 67, No. 6Second-gradient continua as homogenized limit of pantographic microstructured plates: a rigorous proofJean-Jacques Alibert and Alessandro Della Corte22 April 2015 | Zeitschrift für angewandte Mathematik und Physik, Vol. 66, No. 5On the use of the first order shear deformation plate theory for the analysis of three‐layer plates with thin soft core layerHolm Altenbach, Victor A. Eremeyev and Konstantin Naumenko6 May 2015 | ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 95, No. 10An unconstrained dynamic approach for the Generalised Beam TheoryGerard Taig, Gianluca Ranzi and Francesco D’Annibale29 April 2014 | Continuum Mechanics and Thermodynamics, Vol. 27, No. 4-5Continuum and discrete models for structures including (quasi-) inextensible elasticae with a view to the design and modeling of composite reinforcementsM.V. d’Agostino, I. Giorgio, L. Greco, A. Madeo and P. Boisse1 May 2015 | International Journal of Solids and Structures, Vol. 59A new class of interdependent shape polynomials for the FE dynamic analysis of Mindlin plate Timoshenko beamG. Falsone, D. Settineri and I. Elishakoff12 August 2014 | Meccanica, Vol. 50, No. 3A New First-Order Shear Deformation Theory for Free Vibrations of Rectangular PlateWei Xiang and Yufeng Xing12 February 2015 | International Journal of Applied Mechanics, Vol. 07, No. 01Modeling of the interaction between bone tissue and resorbable biomaterial as linear elastic materials with voidsUgo Andreaus, Ivan Giorgio and Angela Madeo23 February 2014 | Zeitschrift für angewandte Mathematik und Physik, Vol. 66, No. 1A simple non-linear model for internal friction in modified concreteDaria Scerrato, Ivan Giorgio, Angela Madeo, Ali Limam and Felix Darve1 Jul 2014 | International Journal of Engineering Science, Vol. 80Dynamic problems for metamaterials: Review of existing models and ideas for further researchDionisio Del Vescovo and Ivan Giorgio1 Jul 2014 | International Journal of Engineering Science, Vol. 80 Recommended Vol. 05, No. 03 Metrics History KeywordsFinite elementshybrid finite elementsReissner-Mindlin platesshear lockingdrilling dofsPDF download
In this paper, inelastic pile soil structure interaction is analyzed by using a hybrid type of numerical method. Piles and structural elements are modeled as linear finite elements and soil half space is modeled by using boundary elements. Inelastic modeling of soil media is presented by introducing a rational approximation to continuum with nonlinear interface springs along the piles. For this purpose, modified Özdemir’s nonlinear model is implemented and systems of equations are coupled for piles and pile groups at interacting nodes. To verify the proposed algorithm, four experimental results from previously conducted tests under static loads are compared with those obtained from present analysis.
The elasto-viscoplastic constitutive equation considering damage is formulated, based on the concept of continuum damage mechanics. It employs the viscoplastic strain, which was originally given by Perzyna and extended by Murakami to consider the effect of damage. The unified form of damage evolution equation given by Lemaitre is extended to consider the effect of damage type and strain rate. The constitutive modeling is identified, based on static/dynamic tensile tests and fatigue tests for steel (SM490A) and aluminum (2219-T87). The identified models are used to predict the static/dynamic, tensile behaviors of pre-strained steel and pre-fatigued aluminum. The predicted results have agreed well with the corresponding experimental results.
Fluid structure Interaction (FSI) is important in analysis of: (1) Cardio-vascular dynamics; (2) Underwater/ Offshore structures; (3) Aircraft wings and turbine blade designs; (4) Design of tall structures/buildings; (5) high speed hard disk drives etc. At present, such capabilities are being incorporated, if any, only to a limited extent in commercial CFD codes leaving the engineers to develop their own codes. In the current study, a hydro-elastic problem of an underwater structure has been considered. Traditionally, the hydrodynamics and the structural dynamics are solved using finite difference/boundary element methods and finite element method (FEM) respectively. Moreover, the governing equation for fluid and structure are usually written in Eulerian and Lagrangian reference frames - posing further difficulties for coupling the two systems. In this research, both the fluid and structural systems are solved by the finite element method using a mixed Eulerian-Lagrangian scheme, where, fluid mesh moves and adapts to new free surface and structural positions. A full non-linear free surface implementation is considered. A mesh adaptation using Laplacian smoothing is performed to reduce the need for re-meshing the domain frequently. The scheme is validated with solutions available in the literature and extended to the present FSI problem with non-linear free surface boundary condition.
The classical approach to linking lattice dynamics properties to continuum equations of motion, the "method of long waves," is extended to include higher order terms. The additional terms account for non-local and non-linear effects. In the first part of the article, the derivation is made within the harmonic approximation for the perfect lattice response. Higher order terms are included in the continuum equation of motion to account for non-linear dispersion effects. Wave propagation coefficients as well as fourth order dispersion coefficients are obtained. In the second part, the lattice anharmonicity is considered and nonlinear macroscopic equations of motion are obtained within the local approximation. Both continuum solutions are particularized to the one-dimensional case and are compared with the lattice response in order to establish the accuracy of the approximation.