Author(s)

Wahed M. Hasona, Mohamed M. Adel

Department of Mathematics, Zagazig University, Zagazig, Egypt.

In this paper we introduce the effect of initial stress on a magneto-thermoe- lastic functionally graded material (FGM) with Green Naghdi theory with energy dissipation. A system of PDE was obtained. The normal mode analysis method is used to convert these equations into ODE and get the analytical solution to write expressions for displacements, temperatures, stresses. Some comparisons carried out to view the initial stress influence on the field variables. Numerical results are graphed to view the influence of initial stress. Some particular cases are deduced in this study.

Thermoelasticity, Functionally Graded, Normal Mode Method, Initial Stress, Energy Dissipation

Hasona, W. and Adel, M. (2020) Effect of Initial Stress on a Thermoelastic Functionally Graded Material with Energy Dissipation. Journal of Applied Mathematics and Physics, 8, 2345-2355. doi: 10.4236/jamp.2020.811173.