Quasi-stationary thermoelastic problem with moving heat source in unidirectional Dirichlet’s rod

In this paper we deal quasi-stationary, nonhomogeneous thermo elastic problem with Dirichlet's boundary condition in one dimensional rod of isotropic material occupying the region 0   x a . Initial temperature of the rod is zero and placed in an ambient temperature zero. The rod is subjected to the activity of moving point heat source located at ' x moving with constant velocity u along x-axis.