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首页> 外文期刊>Journal of thermal stresses >ANALYSIS OF MAGNETO-THERMOELASTIC RESPONSE IN A TRANSVERSELY ISOTROPIC HOLLOW CYLINDER UNDER THERMAL SHOCK WITH THREE-PHASE-LAG EFFECT
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ANALYSIS OF MAGNETO-THERMOELASTIC RESPONSE IN A TRANSVERSELY ISOTROPIC HOLLOW CYLINDER UNDER THERMAL SHOCK WITH THREE-PHASE-LAG EFFECT

机译：三相滞后热冲击的横观各向同性空心圆柱中的磁热弹性响应分析

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This article deals with a problem of magneto-thermoelastic interactions in a transversely isotropic hollow cylinder due to thermal shock in the context of three-phase-lag theory of generalized thermoelasticity. The governing equations of generalized thermoelasticity of the above model under the influence of a magnetic field are established. The Laplace transform method has been used to transform the equation into the space domain, where the Galerkin finite element technique has been employed to solve the resulting equations in the transformed domain. The inversion of the Laplace transformation is done by applying a method of Bellman el al. The stresses and temperature distributions have been computed numerically and presented graphically in a numbers of figures. A comparison of the results for different theories (GN-Ⅲ and 3P models) are presented and the effect of magnetic field is discussed. The results for an isotropic material (Cu) have been deduced numerically and presented graphically to compare with those of transversely isotropic material (Mg).
机译：在广义热弹性的三相滞后理论的背景下，本文解决了由于热冲击而引起的横向各向同性空心圆柱体中的磁热弹性相互作用问题。建立了上述模型在磁场作用下的广义热弹性控制方程。拉普拉斯（Laplace）变换方法已用于将方程式变换到空间域中，其中Galerkin有限元技术已用于在变换域中求解所得方程式。拉普拉斯变换的反演通过应用Bellman等人的方法完成。应力和温度分布已通过数值计算并以图形方式显示在许多图中。比较了不同理论（GN-Ⅲ和3P模型）的结果，并讨论了磁场的影响。各向同性材料（Cu）的结果已通过数值推导并以图形方式呈现，以与横向各向同性材料（Mg）进行比较。

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