We do a qualitative study on the mixed initial-boundary value problem in the elastodynamic theory of microstretch bodies. After we transform this problem in a temporally evolutionary equation on a Hilbert space, we will use some results from the theory of semigroups of linear operators in order to prove the continuous dependence of the solutions upon initial data and supply terms.

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...

The present paper is an investigation on the propagation of Rayleigh surface waves in a homogeneous, isotropic, thermally conducting microstretch elastic solid half-space in the context of non classical (generalized) theories of thermoelasticity. The secular equations in closed form and isolated mathematical conditions are derived for Rayleigh wave propagation in such solids. The amplitude rati...

First, we formulate the mixed initial boundary value problem in the theory of thermoelastic microstretch bodies having certain internal state variables. Then by using some approachable computing techniques and the known Gronwall’s inequality we will prove that the presence of internal state variables do not influence the uniqueness of solution of the mixed problem. The purpose of the theory of ...

The present paper studied the reflection of thermo-microstretch waves under generalized thermoelasticity theory which is employed to study plane harmonic from a semi-infinite elastic solid effect electromagnetic field, initial stress, and gravity. formulation applied with three-phase lag, coefficient ratio variations angle incidence different conditions are obtained. Numerical results obtained ...