S0303-2-1 Dynamic Thermal Stresses in a Functionally Graded Film Subjected to a Uniform Heating.

Abstract

In this paper, a one-dimensional dynamic thermoelastic problem in a functionally graded thin film subjected to a uniform thermal shock on a top surface is analyzed, assuming that material constants are considered to be an exponential function of the position. Solving the governing equations for the temperature and elastic fields by applying Laplace transform technique, the analytical solution for the temperature, displacement, and stress which satisfy the initial and boundary conditions is obtained. Based on the obtained analytical solution, numerical calculations have been carried out and the time history of stress is shown graphically for a long time.