The present work deals with a new problem of generalized thermoelasticity with one relaxation time for an infinitely long and isotropic annular cylinder of temperature dependent physical properties. The inner and outer curved surfaces of the cylinder are subjected to both the mechanical and thermal boundary conditions. A finite difference model is developed to derive the solution of the problem...

The present article investigates the thermoelastic interaction in a three-dimensional homogeneous and isotropic sandwich structure using the dual-phase-lag (DPL) model of generalized thermoelasticity. The incorporated resulting non-dimensional coupled equations are applied to a specific problem in which a sandwich layer of unidentical homogeneous and isotropic substances is subjected to time-de...

Analysis for the propagation of plane harmonic thermoelastic waves in an infinite homogeneous orthotropic plate of finite thickness in the generalized theory of thermoelasticity with two thermal relaxation times is studied. The frequency equations corresponding to the extensional (symmetric) and flexural (antisymmetric) thermoelastic modes of vibration are obtained and discussed. Special cases ...

This paper is concerned with propagation of thermoelastic longitudinal vibrations of an infinite circular cylinder, in the context of the linear theory of generalized thermoelasticity with two relaxation time parameters (Green and Lindsay theory). Three displacement potential functions are introduced to uncouple the equations of motion. The frequency equation, by using the traction free boundar...

This paper discusses a 1D one-dimensional mathematical model for the thermoelasticity problem in two-layer plate. Basic equations dimensionless form contain both temperature and displacement. General solutions of homogeneous (displacement equations) are assumed to be linear combination Trefftz functions. Particular these then expressed with appropriately constructed sums derivatives general sol...

In this paper, we study a nonlinear interaction problem between thermoelastic shell and heat-conducting fluid. The is governed by linear thermoelasticity equations encompasses time-dependent domain which filled with fluid the full Navier-Stokes-Fourier system. are fully coupled, giving rise to novel moving boundary fluid-structure involving heat exchange. existence of weak solution obtained com...

Analysis for the generalized thermoelastic Lamb waves, which propagates in anisotropic thin plates in generalized thermoelasticity, is presented employing normal mode expansion method. The displacement and temperature fields are expressed by a summation of the symmetric and antisymmetric thermoelastic modes in the surface thermal stresses and thermal gradient free orthotropic plate, therefore t...