Uniqueness and Reciprocity Theorems for Linear Thermo-Electro-Magneto-Elasticity

The Uniqueness and Reciprocity Theorems for Generalized Thermo-Viscoelasticity with Thermal Relaxation Times

Variational principle, uniqueness and reciprocity theorems in porous magneto-piezothermoelastic medium

The basic governing equations for an anisotropic porous magneto-piezothermoelastic medium are presented. The variational principle, uniqueness theorem and theorem of reciprocity in this model are established under the assumption of positive definiteness of magnetic and piezoelectric fields. Particular cases of interest are also deduced and compared with the known results. Subjects: Applied Math...

Variational Principle, Uniqueness and Reciprocity Theorems in Porous Piezothermoelastic with Mass Diffusion

The basic governing equations in anisotropic elastic material under the effect of porous piezothermoelastic are presented. Biot [1], Lord & Shulman [4] and Sherief et al. [5] theories are used to develop the basic equations for porous piezothermoelastic with mass diffusion material. The variational principle, uniqueness theorem and theorem of reciprocity in this model are established under the ...

Thermodynamic restrictions on linear reversible and irreversible thermo-electro-magneto-mechanical processes

A unified thermodynamic framework for the characterization of functional materials is developed. This framework encompasses linear reversible and irreversible processes with thermal, electrical, magnetic, and/or mechanical effects coupled. The comprehensive framework combines the principles of classical equilibrium and non-equilibrium thermodynamics with electrodynamics of continua in the infin...

An Exact Solution for Classic Coupled Magneto-Thermo-Elasticity in Cylindrical Coordinates

In this paper, the classic coupled Magneto-thermo-elasticity model of hollow and solid cylinders under radial-symmetric loading condition (r, t) is considered. A full analytical and the direct method based on Fourier Hankel series and Laplace transform is used, and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body fo...