A GDQ Approach to Generalized Coupled Thermoelastisity of Layer

The generalized thermoelasticity based on the Lord-Shulman (LS), and Green-Naghdi (GN) theories admit the second sound effect. By introducing some parameters all these theories are combined and a unified set of equations is rendered. These equations are then solved for a layer of isotropic and homogeneous material to study the thermal and mechanical wave propagations. The disturbances are generated by a sudden application of temperature to the boundary. The non-dimensionalized form of the governing equations are solved utilizing the newman method in time domain where the GDQ method is employed to solve the resulting equations in the space domain. The thermo-mechanical wave propagations and reflections from the layer boundaries are investigated.

Keywords:

GDQ , Thermoelastic , thermal wave