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Generalized magneto-thermoelasticity with two temperature and initial stress under Green-Naghdi theory

机译:Green-Naghdi理论下具有两个温度和初始应力的广义磁热弹性

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摘要

Magneto-thermoelastic interactions in an initially stressed isotropic homogeneous elastic half-space with two temperature are studied using mathematical methods under the purview of the Green-Naghdi theory with type Ⅱ and Ⅲ. The medium is considered to be permeated by a uniform magnetic field. The normal mode analysis is used to obtain the exact expressions for the displacement components, force stresses, temperature and couple stresses distribution. The variations of the considered variables through the horizontal distance are illustrated graphically. Comparisons are made with the results between type Ⅱ and Ⅲ. Numerical work is also performed for a suitable material with the aim of illustrating the results.
机译:在Green-Naghdi理论的范围内,用Ⅱ和Ⅲ型的数学方法研究了具有两个温度的初始应力各向同性均质弹性半空间中的磁热弹性相互作用。认为该介质被均匀的磁场渗透。正态分析用于获得位移分量,力应力,温度和耦合应力分布的精确表达式。图示变量在水平距离内的变化以图形方式显示。比较Ⅱ型和Ⅲ型的结果。为了说明结果,还对合适的材料进行了数值工作。

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