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

Abstract

In this paper we introduce the effect of initial stress on a magneto-thermoelastic 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.

Functionally graded nonlocal thermoelastic nanobeam with memory-dependent derivatives

“…Based on literature available over the past 30 years, Saleh et al [14] provided the fundamental difficulties and strengths of currently available manufacturing methods for FGMs. Hasona and Adel [15] considered the influence of initial stress on a magneto-thermoelastic FGM with Green Naghdi (GN-II) theory. Sheokand et al [16] examined the FGM under a dual-phase-lag model with rotation and gravity.…”