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首页> 外文期刊>Journal of thermal stresses >Eigenfunction expansion method to analyze thermal shock behavior in magneto-thermoelastic orthotropic medium under three theories
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Eigenfunction expansion method to analyze thermal shock behavior in magneto-thermoelastic orthotropic medium under three theories

机译：三种理论在磁热弹正交各向异性介质中分析热冲击行为的本征函数展开法

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摘要

This article is concerned with a study of thermal shock response in infinite thermoelastic medium under the purview of Lord-Shulman model, Green-Naghdi theory III, and three-phase-lag model of generalized thermoelasticity. The medium under consideration is assumed to be homogeneous, orthotropic, and thermally conducting. The fundamental equations of the two-dimensional problem of generalized thermoelasticity with three-phase-lag model in an infinite elastic medium under the influence of magnetic field are obtained as a vector-matrix differential equation form using normal mode analysis which is then solved by the Eigenfunction expansion method. Numerical results for the temperature, displacements and thermal stress distribution are presented graphically.
机译：本文涉及在Lord-Shulman模型，Green-Naghdi理论III和广义热弹性的三相滞后模型的作用下研究无限热弹性介质中的热冲击响应。假设所考虑的介质是均匀，正交各向异性和导热的。利用正态分析，以矢量矩阵微分方程形式，获得了磁场作用下无限弹性介质中具有三相滞后模型的广义热弹性二维问题的基本方程。本征函数展开法。以图形方式显示了温度，位移和热应力分布的数值结果。

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