Generalized Thermo-microstretch with Harmonic Wave for Mode-I Crack Problem Under Three Theories by Using a Laser Pulse with Non-Gaussian Form Temporal Profile

A general model of the equations of generalized thermo-microstretch for an infinite space weakened by a finite linear opening Mode-I crack is solving. The material is homogeneous isotropic elastic half space. The crack is subjected to prescribed temperature and stress distribution. The formulation is applied to generalized thermoelasticity theories, the Lord-Şhulman theory (LS) with one relaxation time, Green-Lindsay theory (GL) with two relaxation times, as well as the classical dynamical coupled theory (CD). The normal displacement, temperature, normal force stress, and tangential couple stress are obtained in a microstretch elastic solid heated by a laser pulse with non-Gaussian form temporal profile f(t). The harmonic wave (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 with the horizontal distance are illustrated graphically. Comparisons are made with the results in the presence and absence of microstretch constants. A comparison also is made between the three theories for different depths.