In this paper, the classic Kelvin-Voigt model coupled thermo-viscoelasticity model of hollow and solid spheres under radial symmetric loading condition is considered. A full analytical method is used and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body force, and the heat source are considered in the most general fo...

ABSTRAC: The present paper deals with the review on the development of the theory of two-temperature thermoelasticity. The basic equations of two-temperature thermoelasticityin context of Lord and Shulman [6] theory and Green and Naghdi[15] theories of generalized thermoelasticity are reviewed. Relevant literature on two-temperature thermoelasticity is also reviewed.

A port-Hamiltonian formulation for general linear coupled thermoelasticity and the thermoelastic bending of thin structures is presented. The construction exploits intrinsic modularity systems to obtain a as an interconnection elastodynamics heat equations. derived model can be readily discretized by using mixed finite elements. discretization structure-preserving, since main features system ar...

In this article, the author studies the properties of discrete approximations for mathematical models of coupled thermoelasticity in the stress-temperature formulation. Since many applied problems deal with steep gradients of thermal elds, the main emphasis is given to the investigation of non-smooth solutions of non-stationary thermoelasticity. Convergence of operator-diierence schemes on weak...

Abstract This paper is concerned to study temperature distribution, thermal stresses and displacement components for a magnetothermoelastic problem of a halfspace subjected to (i) moving heat source and (ii) moving load. Classical Dynamical Coupled, Lord-Shulman and Green Lindsay theories of thermoelasticity are used for mathematical analysis. It is found that the Lord-Shulman theory is more pr...