摘要
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（E_1=E_2）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。
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.
出处
《华中理工大学学报》
CSCD
北大核心
1990年第5期147-152,共6页
Journal of Huazhong University of Science and Technology
关键词
正交异性
半平面
边界元法
弹性
Theory of elasticity
Orthogonal anisotropy
Half-plane problem
Boundary element method
