Three-dimensional thermoelastic problem in orthotropic medium

The present article is concerned with a thermoelastic boundary-value problem with a time-dependent thermal shock on traction-free half-space for a homogeneous orthotropic heat-conducting solid. The governing equations of the three-dimensional problem of generalized thermoelasticity in orthotropic medium are obtained as a vector-matrix differential equation form by employing normal mode analysis to the considered equations which is then solved by the eigenfunction expansion method. The distribution of thermal stress, displacements, and temperature are presented graphically and compared with other thermoelastic models.