Boundary element method analysis of thermoelastic deformation in nonhomogeneous media
Boundary element method analysis of thermoelastic deformation in nonhomogeneous media
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DOI：
10.1016/0020-7683(84)90053-2
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发表时间：
1984
影响因子：
3.6
通讯作者：
Somnath Ghosh;S. Mukherjee
中科院分区：
文献类型：
--
作者：
Somnath Ghosh;S. Mukherjee
本文给出了非均匀介质中热弹性问题的边界元列式及其数值实现。该公式使用了均匀介质中弹性问题的位移方程的已知核。这一公式导致了一个区域积分，除了通常的带有位移和牵引力的边界积分外，还包含未知的位移场。用迭代格式确定了位移场，并给出了一些平面应变问题的数值结果。对于这些具有中等温度梯度的问题，迭代格式被证明是快速收敛的。对这些问题的边界元结果与有限元结果进行了比较，并尽可能地与精确解进行了比较。
This paper presents a boundary element method (BEM) formulation and numerical implementation of thermoelasticity problems in nonhomogeneous media. The formulation uses the known kernels of the displacement equations for elasticity problems in homogeneous media. This formulation leads to a domain integral containing the unknown displacement field in addition to the usual boundary integrals with displacements and tractions. An iterative scheme is used to determine the displacement fields.Numerical results are presented for some illustrative plane strain problems. The iterative scheme is shown to converge rapidly for these problems with moderate temperature gradients. The BEM results are compared with results from the finite element method (FEM) for these problems, and also with exact solutions whenever possible.