Abstract

This article is concerned with a study of electro–magneto–thermoelastic interactions under Green–Naghdi theory-III of generalized thermoelasticity in the presence of initial stress. The fundamental equations of the two-dimensional problem in orthotropic medium under the influence of electric and magnetic field are obtained in the form of a vector–matrix of differential equation by employing normal mode analysis which is then solved by eigenfunction expansion method. The solution for temperature distribution, displacements, and stress components is obtained. The effect of magnetic field, electric field and phase velocity on the considered parameters is observed in the figures.

摘要

本文关注在存在初始应力的情况下在广义热弹性的 Green-Naghdi 理论-III 下对电磁热弹性相互作用的研究。正交各向异性介质中在电场和磁场影响下的二维问题的基本方程是通过正态模态分析得到微分方程向量矩阵的形式，然后用特征函数展开法求解。获得了温度分布、位移和应力分量的解。在图中观察到磁场、电场和相速度对所考虑的参数的影响。