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The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics.The Journal especially welcomes papers that are related to recent technological advances, such as micro/nanomechanics, medical and biological systems, and microscale heat transfer.The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics.

The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.

The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.

The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.

The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics.The Journal especially welcomes papers that are related to recent technological advances, such as micro/nanomechanics, medical and biological systems, and microscale heat transfer.The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics.

The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics.The Journal especially welcomes papers that are related to recent technological advances, such as micro/nanomechanics, medical and biological systems, and microscale heat transfer.The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics.

The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics.The Journal especially welcomes papers that are related to recent technological advances, such as micro/nanomechanics, medical and biological systems, and microscale heat transfer.The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics.

The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.

The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.

The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.

The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.

The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.

The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.

The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world.

An arbitrarily curved three-dimensional piezoelectric thin interphase between two piezoelectric solids is considered. In this study the thin interphase is modeled by a zero thickness interface which separates the two media that are adjacent to the interphase. The model is characterized by jump conditions for the mechanical and electrical fields across the interface. The derivation makes use of Taylor expansions of the fields, and is correct to O (h) where h is the constant thickness of the interphase which has been replaced.

An arbitrarily curved three-dimensional anisotropic thin interphase between two anisotropic solids is considered. The purpose of this study is to model this interphase as a surface between its two neighbouring media by means of appropriately devised interface conditions on it. The analysis is carried out in the setting of unsteady heat conduction and dynamic elasticity, and makes use of the simple idea of a Taylor expansion of the relevant fields in thin regions. It consists of a generalization of a previous study by Bövik [1994. On the modelling of thin interface layers in elastic and acoustic scattering problems. Q. J. Mech. Appl. Math. 47, 17–42] which was confined to the isotropic setting. The remarkable feature of the presently derived anisotropic interface model is that formally it has a more compact form than that of Bövik's isotropic version. This is achieved by a judicious choice of surface differential operators which have been used in the derivation, and makes possible to show that several previously known classical interface models are recovered as special cases of the one obtained in this study, once suitable assumptions are made on the magnitude of the conductivity and elasticity tensors of the interphase.

The Saint-Venant torsion problem of compound sections with imperfect interfaces is studied. Two kinds of an imperfect interface are considered: an imperfect interface which models a thin interphase of low shear modulus and an interface which models a thin interphase of high shear modulus. At the former kind, the tractions are continuous but the warping displacement undergoes a discontinuity; at the latter kind the warping displacement is continuous but the shear traction undergoes a discontinuity. These imperfect interface conditions have been derived in a companion study [1]. The present paper is concerned with deriving benchmark solutions for the Saint-Venant torsion problem of compound sections with imperfect interfaces. Specifically, analytical solutions are given for a) a two-phase rectangular section, b) a two-phase section in the shape of a circular sector with an imperfect interface located along a circular arc, c) a two-phase circular sector with an imperfect interface along a radial line. The effect of imperfect bonding on the torsional rigidity of the compound bar is examined.

The Saint-Venant torsion problem of composite cylindrical bars with imperfect interfaces between the constituents is studied. Two kinds of imperfect interfaces are considered: one which models a thin interphase of low shear modulus and one which models a thin interphase of high shear modulus. In the former case, the traction on the interface is continuous but the axial warping displacement undergoes a discontinuity proportional to the axial shear traction. In the latter case, the warping displacement at the interface is continuous but the axial shear traction undergoes a discontinuity proportional to a differential operator of the warping function. The imperfect interfaces are characterized by certain interface parameters given in terms of the thickness and the shear modulus of the interphase. A derivation of these interface conditions is presented, and the Saint-Venant torsion of cylindrical composite bars with both types of imperfect interfaces is formulated in terms of the warping function and in terms of a stress potential. An example of the application of imperfect interfaces is the construction of 'neutral inhomogeneities' in torsion problems. These are cylindrical inhomogeneities which can be introduced in a cylindrical bar without disturbing the warping function in it and without changing its torsional stiffness. Neutrality is achieved by a proper design of an imperfect interface with a variable interface parameter. Analytical expressions are derived for the variable interface parameter at neutral elliptical inhomogeneities in an elliptical bar. The paper concludes with a study of the decay of end effects in composite bars with imperfect interfaces. The simplest example of a concentric cylinder is chosen to illustrate that the decay length increases as the degree of the imperfectness at the interface increases.

The theory of uniform fields in elastic heterogeneous solids is summarized for multiphase and two-phase systems with arbitrary or fibrous microstructures. The results are used to derive certain exact connections for the elastic moduli as well as for the mechanical and transformation strain influence functions in the transformation field analysis method. The method is a general procedure for evaluation of internal fields and overall response caused by distributions of local eigenstrain. Applications of the method are shown in incremental analysis of inelastic composites and laminates. These topics are covered in Sections 1 and 2.The third section of the paper provides a brief review of microstructure-independent exact connections for the effective moduli of piezoelectric composites. The basic method of derivation is the method of uniform fields and constitutes the unifying link with the preceeding sections of the paper. In two-phase fibrous systems, a field decoupling formalism allows the derivation of additional exact relations among the effective moduli. Composites with piezoelectric and piezomagnetic phases are also considered; these exhibit an effective magnetoelectric effect which is not present in the constituents. The section concludes with a brief discussion of phase-interchange connections in piezocomposites.