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

• 作者: Mohamed M. Adel Wahed M. Hasona
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: THERMOELASTICITY Functionally Graded Normal Mode Method Initial Stress Energy Dissipation
• 年，卷（期）: 2020,（11）
• 页码范围: 2345-2355
• 页数: 11页
• 分类号: O17

摘要

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.