Generalized thermo-microstretch elastic medium with temperature dependent properties for different theories

A general model of the equations of generalized thermo–microstretch for a homogeneous isotropic elastic half–space is given. The modulus of elasticity is taken as a linear function of reference temperature. The formulation is applied to generalized thermoelasticity theories, the Lord–Şhulman and Green–Lindsay theories, as well as the classical dynamical 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 through the horizontal distance are illustrated graphically. A comparison is made with the results predicted by the three theories in case of temperature–independent modulus of elasticity.