Effect of rotation on plane waves in generalized thermo‐microstretch elastic solid with one relaxation time

Abstract

Purpose

The present paper aims to study the effect of rotation on the general model of the equations of generalized thermo‐microstretch for a homogeneous isotropic elastic half‐space solid whose surface is subjected to a thermal shock is considered. The problem is in the context of the generalized thermoelasticity Lord‐Şhulman's theory with one relaxation time, as well as the classical dynamical coupled theory.

Design/methodology/approach

The normal mode analysis is used to obtain the exact expressions.

Findings

For the displacement components, force stresses, temperature, couple stresses and microstress distribution.

Originality/value

The variations of the considered variables through the horizontal distance are illustrated graphically. Comparisons are made with the results in the presence and absence of rotation and in the presence and absence of microstretch constants between the two theories.

Citation

Othman, M.I.A. and Lotfy, K. (2011), "Effect of rotation on plane waves in generalized thermo‐microstretch elastic solid with one relaxation time", Multidiscipline Modeling in Materials and Structures, Vol. 7 No. 1, pp. 43-62. https://doi.org/10.1108/15736101111141430