界面裂纹问题的解析—变分解法及其在复合材料盖板胶接件中的应用

本文根据穆斯海里什维利求解各向同性平面问题与列赫尼兹基求解各向异性平面问题的广义复变函数理论与本征函数展开法,分析了复合材料盖板胶接件的分层问题,得到了精确满足所有基本方程、裂纹表面边界条件与层间连续条件的位移场与应力场本征展开式.进而利用分区广义变分原理满足裂纹表面以外的边界条件并由此确定应力强度因子.

THE ANALYTICAL-VARIATIONAL METHOD OF INTERFACIAL CRACK PROBLEMS AND ITS APPLICATIONS IN GLUED JOINTS WITH COMPOSITE STRAPS

In this paper,Muskhelishvili's complex variable theory for solving the plane problems of isotropicmaterials and Lekhnitzkii's generalized complex variable theory for solving the plane problems ofanisotropic materials and the method of eigen function expansions are used to analyze delamination prob-lems of glued joints with composite straps.The eigen function expansions of displacement and stress fields,satisfying all of the basic equations,the boundary conditions along crack surfaces and conditions of conti-nuity along interface exactly are obtained.Furthermore,the generalized variational principle of multi-re-gions are applied to satisfy the boundary conditions,except those along the crack surfaces and the stressintencity factors can be determined.