带半无限裂纹的正交异性复合材料板的应力场分析

Analyse of the Stress Field of Plate of Orthotropic Composite Material with Semi-infinite Crack

利用广义复变函数方法,给出正交异性复合材料板平面弹性问题的应力分量及边界条件的复变表示.通过构造适当的广义保角变换,得到了带半无限裂纹的正交异性复合材料板应力场和裂纹尖端应力强度因子的解析解.

By using the generalized complex variable function method, complex representations of the components of stress and boundary conditions of the plane elasticity problem of plate of orthotropic composite material are given. By constructing the appropriate generalized conformal mapping, the analytic solution of the stress field and the stress intensity factors at the crack tip of the plane elasticity problem of plate of orthotropic composite material with semi-infinite crack is obtained.