Sister Nivedita University

This research focuses on creating a multi-objective inventory management model for supply chains that addresses the difficulties of product deterioration and poor-quality production in an intuitive fuzzy environment. The purpose of this research is to lower both total operational costs and carbon emissions to improve supply chain profitability and prevent global warming. To minimize carbon emissions, the study considers carbon cap-and-trade policies and green technologies. Preservation technology is used to slow decreased product deterioration, while reworking abilities are used to repair imperfect items. Additionally, investments in quality improvements are considered to boost demand. In real-world scenarios, inventory management parameters are often uncertain, and thus, triangular intuitionistic fuzzy numbers are used to model these uncertainties. The study utilizes neutrosophic compromise programming to solve the resulting multi-objective model. The approach is demonstrated with a practical example, comparing crisp, fuzzy, and intuitionistic fuzzy models.

This article proposes an analytical solution of the magneto-elastic coupling effect on the dispersion of longitudinal waves in a magnetize isotropic elastic solid containing three co-linear cracks. The dispersion effect of three co-linear Griffith cracks located in a homogeneous infinite isotropic medium due to the influence of magnetic field is formulated as a mixed boundary value problem (MBVP). The MBVP have been transformed to a set of integral equations introducing Abel’s transform which have further been simplified using perturbation method for low frequency by concerning the iterative expansion of Bessel’s and Hankel’s functions. The converted integral equations have been solved by Hilbert transformation and Cooke Results. The semi-analytical expressions of crack opening displacement and stress intensity factors have been derived related to low frequency waves. Numerical outcomes of crack opening displacement and stress intensity factors for several crack lengths with the presence of magnetic field have been computed and presented graphically to exhibit the influence of magnetization. Some special cases have been discussed.

This study develops a novel thermoelastic model for an unbounded micropolar half-space produced by a magnetic field having constant intensity. A novel spatiotemporal nonlocal elasticity theory is proposed by taking into account one dynamical scalar nonlocal kernel. In line with the theory, an isotropic nonlocal elasticity model of the Klein-Gordon type is formulated, incorporating both a characteristic internal length scale and an essential internal time scale parameter. The Moore-Gibson-Thompson theory, which is adjacent to the memory responses, governs the micropolar medium’s heat transport mechanism. While the boundary is free of traction, the micropolar medium experiences a time-harmonic thermal loading. The solutions to the governing equations have been obtained using Laplace and Fourier transform techniques. Numerical estimates of each of the physical fields have been performed for the analysis of the effectiveness of the nonlocality parameters of space and time, the micropolar parameters and the time-delay also. The significance of various kernels involved in the heat conduction process and the influence of magnetic field have also been concluded.

Motivated by the widespread occurrence of fractal architectures in biological systems, the present study examines the thermodiffusive transport phenomenon in fractal spherical tumor cells. To adequately capture the underlying microstructural interactions, a nonlocal model of the Klein-Gordon type is formulated by incorporating a characteristic internal length scale together with an essential internal time-scale parameter. The coupled bioheat-diffusion law is developed through an analogy with viscoelastic theory, thereby embedding memory-dependent effects within a finite slipping interval. The spherical tumor is assumed to be mechanically traction-free on both its inner and outer boundaries, while the interior and exterior surfaces are simultaneously subjected to transient thermal and biochemical excitations. The governing equations are solved by employing the Laplace integral transform, and the resulting transformed solutions are numerically inverted using Zakian's method. The computational analysis demonstrates that thermodiffusion, internal length and time scales, and the variation of fractal dimensions exert a pronounced influence on the thermal and diffusive behavior of the system. Furthermore, the study elucidates the impact of different kernel functions, revealing that nonlinear kernels provide enhanced performance compared to their linear counterparts within this newly developed theoretical framework. The findings contribute to a deeper understanding of heat and mass transport in fractal tumor geometries and offer a refined modeling approach for advanced predictive bioheat analysis.

The miniaturization of devices alongside advances in thermal management technologies necessitates the generalization of heat conduction and thermal elastic coupling to faithfully represent material responses at ultrashort temporal scales. Motivated by viscoelastic mechanical analogies, this work develops an analytical framework for investigating vibrational behavior in an orthotropic, size-dependent piezo-thermoelastic substrate featuring voids, modeled within the Modified Lord–Shulman (MLS) thermoelasticity theory augmented by fractional derivatives. Employing the Klein–Gordon nonlocal elasticity formulation, the governing equations of motion are rigorously derived. The normal mode method facilitates the examination of coupled thermo–electro-mechanical excitation phenomena. Emphasis is placed on a corrugated interface contiguous to a vacuum, where comprehensive boundary conditions encompassing thermal, electrical, mechanical, and stress equilibria are imposed to determine fundamental field variables. The study systematically evaluates the influence of pivotal parameters, including temporal evolution, nonlocality characteristics, and spatial coordinates, on the thermomechanical and electrical responses, with outcomes substantiated through detailed graphical representations. Although previous investigations have addressed vibrations in porous piezo-thermoelastic media under varying theoretical constructs, the current research uniquely elucidates the dynamic response of a size-dependent porous piezo-thermoelastic medium with a corrugated surface within the fractional-order modified Lord–Shulman framework, marking a significant advancement in the modeling of smart microstructured materials.