Thermal Shock Analysis in a Semiconducting Medium Using a Modified Green–Lindsay Thermoelastic Model

Abstract A thermal shock problem in a semiconducting rod under modified Green-Lindsay theory of length l is discussed. The partial differential equations are simplified by applying the Laplace transformation technique. It is assumed that one end of the rod is subjected to a sudden heat source. The governing equations of a semiconducting medium are transformed using the Laplace transform, and analytical expressions for displacement, stress, carrier density, and temperature distribution are obtained. These transformed components are then inverted by the numerical inversion method and are presented graphically to show the results in different theories of thermoelasticity.