Ezzat, M.A., El-Karamany, A.S. and El-Bary, A.A. (2009) State Space Approach to One-Dimensional Magneto-Thermoelasticity under the Green-Naghdi Theories. Canadian Journal of Physics, 87, 867-878.
https://doi.org/10.1139/P09-045

has been cited by the following article:

• TITLE: Effect of Initial Stress on a Thermoelastic Functionally Graded Material with Energy Dissipation

  AUTHORS: Wahed M. Hasona, Mohamed M. Adel

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.11, November 11, 2020

  ABSTRACT: 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.