On a Two-Dimensional Problem in Thermoelastic Half-Space with Microstructure Subjected to a Uniform Thermal Shock

In this work, we study a two-dimensional problem in thermoelasticity for a half-space with microstructure whose surface is subjected to a uniform thermal shock. The problem is solved in the context of the theory of generalized thermoelasticity with dual phase lags. The equations of the linear theory are also studied by the normal mode technique. The results of micropolar generalized thermoelasticity and generalized thermoelasticity are deduced as special cases from the present formulation. The Mathematica package is used to illustrate the analytical results for numerical values of the temperature, displacement, the force stress component, and the tangential couple stress; and results are depicted in different figures. A detailed analysis of the effects of phase lags and microstructure on field variables is presented on the basis of analytical and numerical results, and significant points are highlighted.