Gravitational Effect on Plane Waves in Generalized Thermo-microstretch Elastic Solid under Green Naghdi Theory

The present paper is aimed at studying the effect of gravity on the general model of the equations of the generalized thermomicrostretch for a homogeneous isotropic elastic half-space solid whose surface is subjected to a Mode-I crack problem. The problem is in the context of the Green and Naghdi theory (GN). The normal mode analysis is used to obtain the exact expressions for the displacement components, the force stresses, the temperature, the couple stresses and the microstress distribution. 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 gravity with two cases: Case (1) for the generalized micropolar thermoelasticity elastic medium (without microstretch constants) between the both types (II, III). Case (2) for the generalized micropolar thermoelasticity elastic medium (without micropolar constants) between the both types II and III.