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正交异性弹性半平面问题的边界元法

The BEM for Orthogonally Anisotropic Half-Plane Problems

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【作者】 程为民; 黄玉盈; 陈升平;

【Author】 Chen Weimin Huang Yuying Chen Shengping

【机构】 华中理工大学力学系; 华中理工大学力学系;

【摘要】 <正>Telles和黄玉盈用不同方法分别求得了各向同性弹性半平面问题的基本解。本文借助F.J.Rizzo等人给出正交异性全平面问题的基本解,利用镜象法导出了正交异性弹性半平面问题的基本解。当两个主方向的弹性模量相等(E1=E2)时,全部关系式可以退化到文献[2]的结果。最后在本文导得基本解的基础上,用边界元法计算了正交异性弹性半平面内含圆孔问题。

【Abstract】 A fundamental solution for orthogonally anisotropic half-plane problems is derived by a combination of the image method and immediate integration. It is obvious that the result given by Huang Yuying in 1982 is but a specialc ase. With this fundamental solution, a computational format for boundar element solution of the stress concentration around a hole embedded in an orthogonally anisotropic half-plane is given. It is shown by numerical examples that the format proposed is effective.

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