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Application of boundary element method to 3-D problems of coupled thermoelasticity

机译:边界元法在热弹性耦合三维问题中的应用

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摘要

This paper deals with a new boundary element method for analysis of the quasi-static problems in coupled thermoelasticity. Through some mathematical manipulation of the Navier equation in elasticity, the heat conduction equation is transformed into a simpler form, similar to the uncoupled-type equation with the modified thermal conductivity which shows the coupling effects. This procedure enables us to treat the coupled thermoelastic problems as an uncoupled one. A few examples are computed by the proposed BEM, and the results obtained are compared with the analytical ones available in the literature, whereby the accuracy and versatility of the proposed method are demonstrated.
机译:本文研究了一种新的边界元方法,用于分析热弹性耦合中的准静态问题。通过对Navier方程进行弹性的数学运算,热传导方程被转换为更简单的形式,类似于具有改进的热导率的非耦合型方程,它表现出耦合效应。此过程使我们能够将耦合的热弹性问题视为未耦合的问题。提出的边界元法计算了一些示例,并将获得的结果与文献中提供的分析结果进行了比较,从而证明了提出的方法的准确性和多功能性。

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