摘要
本文首先将层板横截面分为含裂尖区、韧带区以及裂纹区等三个区域,用复变函数理论与特征函数展开法,得到了各区内满足所有基本方程、裂纹表面边界条件与层间连续条件的位移与应力的特征展开式。然后利用分区广义变分原理满足裂纹表面边界以外的边界条件以及各区之间的交界条件,并由此求得奇异场控制量(广义应力强度因子)。
In the case of large scale delamination,the cross section of laminate is divided into threeregions: inchding crack-tip,excluding delamination(interface crack)and delaminated re-gion. In each region,the eigen expansions of displacement and stress fields satisfying all ofgoverning equations, boundary conditions along delamination surfaces and conditions of con-tinuity along undelaminated portion of interface are derived.The other boundary conditionsand conditions of continuity between the two regions are satisfied by generalized variationalprinciple for multi-region,and then the generalized stress intensity factors can be deter-mined.
基金
国家自然科学基金
关键词
复合材料
应力强度因子
层合板
断裂力学
delamination(interface crack)
laminate
stress intensity factor/analytical-varia-tional method of multi-region.