Abstract

In this work, a 2D axisymmetric problem for an infinite body is considered. An infinite cylinder composed of a different material and containing a variable heat source lies inside the body. The medium is assumed to be initially quiescent. The theory used is that of thermoelasticity due to Green–Lindsay. The solution is obtained by exponential Fourier and Laplace transform techniques. The inversion process is carried out numerically. Numerical results are computed for the temperature, stress distributions, and displacement and shown graphically.

中文翻译：

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Green-Lindsay理论下不同材料圆柱热源的无限空间二维轴对称热弹性问题

摘要

在这项工作中，考虑了无限体的二维轴对称问题。一个由不同材料组成并包含可变热源的无限圆柱体位于体内。假定介质最初是静止的。使用的理论是由 Green-Lindsay 提出的热弹性理论。该解是通过指数傅里叶和拉普拉斯变换技术获得的。反演过程以数字方式执行。计算温度、应力分布和位移的数值结果并以图形方式显示。