含层间短裂纹层合板的解析－分区变分解法  

ANALYTICAL-GENERALIZED VARIATIONAL METHOD OF MULTI-REGION ON SOLUTION OF SMALL SCALE DELAMINATION OF LAMINAIE

作　　者：孟庆春[1] 张行[1] 

机构地区：[1]北京航空航天大学五系508教研室

出　　处：《力学学报》1995年第2期173-179,共7页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金

摘　　要：将层板横截面分为含裂纹区与不含裂纹区，在每一区内，根据夏变函数理论与特征函数展开法，得到了各自区内满足所有支配方程、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两区之间的交界条件，并由此求得奇异场控制量（广义应力强度因子）。In the case of small scale delamination,the cross section of laminate is divided into two regions Ⅰ and Ⅱ,including and excluding delamination(interface crack)respectively. In each region,the eigen expansions of displacement and stress fields satisfying all of govern- ing equations,boundary conditions along delamination surfaces and conditions of continuity along undelaminated portion of interface are derived.The other boundary conditions and conditions of continuity between the two regions are satisfied by generalized variational prin- ciple for multi-region, and then the generalized stress intensity factors can be determined.

关 键 词：复合材料 应力强度因子 变分法 层间裂纹 

分 类 号：TB301[一般工业技术—材料科学与工程]