In this paper, the vibrations of thin plate in modified couple stress thermoelastic medium by using Kirchhoff- Love plate theory has been investigated. The governing equations of motion and heat conduction equation for Lord Shulman (L-S) [1] theory are written with the help of Kirchhoff- Love plate theory. The thermoelastic damping of micro-beam resonators is analyzed by using the normal mode a...

The theory of generalized thermoelastic diffusion, based on the theory of Lord and Shulman, is used to study the thermoelastic-diffusion interactions in an infinitely long solid cylinder subjected to a thermal shock on its surface which is in contact with a permeating substance. By means of the Laplace transform and numerical Laplace inversion the problem is solved. Numerical results predict fi...

Abstract In this work, we study a two-dimensional problem involving thermoelastic body with four dissipative mechanisms. The well-known theory proposed by Lord and Shulman is used. existence uniqueness of solution proved using linear semigroups. Then, introducing some assumptions the coupling coefficients, prove that energy decay exponential. An extension to provided Green Lindsay briefly prese...

The dual-phase-lag (DPL) model is applied to study the influence of rotation on a two-dimensional micro-elongated thermoelastic medium problem. Mechanical force along with layer elastic half-space interface and applied. analytic expressions for displacement component, temperature distribution, micro-elongational scalar stress components have been derived represented graphically. has studied in ...

This paper aims to present a Lord-Shulman theory of one relaxation time and the dual-phase-lag model two-relaxation times study effect gravity on both micro-elongated thermoelasticity layer elastic in above. The normal mode analysis was used obtain expressions displacement components, micro-elongational scalar, stress components. Comparisons between physical quantities were getting numerically ...

12  Abstract— In the present paper, The normal mode analysis is used to study the deformation of a rotating generalized thermoelastic medium under the influence of gravity subjected to thermal loading in the context of dual-phase-lag thermoelastic model. The exact expressions for the temperature, displacement components, and stress components are given in the physical domain and illustrated gr...

The present study is concerned with the variational principle and plane wave propagation in double porous thermoelastic infinite medium. Lord-Shulman theory [2] of thermoelasticity with one relaxation time has been used to investigate the problem. It is found that for two dimensional model, there exists four coupled longitudinal waves namely longitudinal wave (P), longitudinal thermal wave (T),...

This paper deals with the two-dimensional deformation in fibre-reinforced composites new modified couple stress thermoelastic theory (nMCST) due to concentrated inclined load. Lord Shulman heat conduction equation hyperbolic two temperature (H2T) has been used form mathematical model. Fourier and Laplace transform are for obtaining physical quantities of The expressions displacement components,...