Gravitational effect and initial stress on generalized magneto-thermo-microstretch elastic solid for different theories

摘要

The present paper is aimed at studying the effect of gravity and initial stress on the general model of the equations of generalized magneto-thermo-microstretch for a homogeneous isotropic elastic half-space solid. The problem is in the context of the Lord–Şhulman and Green–Lindsay theories, as well as the coupled theory. The normal mode analysis is used to obtain the exact expressions for the displacement components, force stresses, temperature, couple stresses and microstress distribution. The variations of the considered variables perpendicular to the axis of rotation are illustrated graphically. Comparisons are made with the results in the presence and absence of gravity and magnetic field of a particular case for the generalized micropolar thermoelastic medium (without microstretch constants) between the three theories.