In this paper the reflection and transmission at a plane interface between two different couple stress generalized thermoelastic solid half spaces in context of Loard-Shulman(LS)[1967] and Green-Lindsay(GL)[1972] theories in welded contact has been investigated. Amplitude ratios of various reflected and transmitted waves are obtained due to incidence of a set of coupled longitudinal waves and c...

A model of the equations of two dimensional problems in a half space, whose surface in free of micropolar thermoelastic medium possesses cubic symmetry as a result of a Mode-I Crack is studied. There acts an initial magnetic field parallel to the plane boundary of the half- space. The crack is subjected to prescribed temperature and stress distribution. The formulation in the context of the Lor...

We consider equations describing the thermoelastic behavior of plates modeled in Green-Lindsay sense. This is done with two different type couplings fourth-order plate Kirchhoff-type equation to a second-order heat Cattaneo type, once second, and first order. investigate both systems for bounded domains Cauchy problem, asking exponential stability resp. polynomial decay rates problem. It turns ...

Lindsay (1991), in his comment CHARMed, but not Convinced: Comment on Metcalfe (1990), acknowledged that distributed models of human memory using the construct of a composite memory trace, such as the Composite Holographic Associative Recall Model (CHARM), are able to account for most of the findings within the eyewitness-testimony paradigm. Despite this success, Lindsay found CHARM to be of li...

In the present manuscript, we investigated a two dimensional axisymmetric problem of nonlocal microstretch thermoelastic circular plate subjected to thermomechanical sources. An eigenvalue approach is proposed to analyze the problem. Laplace and Hankel transforms are used to obtain the transformed solutions for the displacements, microrotation, microstretch, temperature distribution and stresse...

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 purpose of this research is to study the reflection transverse waves in the GreenLindsay theory for kind of smart materials under initial stress and relaxation times effect. It is found that, for two dimensional model of thermo-piezoelectric material, there exists four waves namely, quasi-transverse wave (QS-mode), quasi-longitudinal wave (QP-mode), thermal wave ( -mode), and potential elec...