孟庆春,张行.含层间长裂纹的对称正交层合板的解析-分区广义变分解法[J].计算力学学报,1995,12(2): |
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含层间长裂纹的对称正交层合板的解析-分区广义变分解法 |
Analytical-generalized variational of multi-region on solution of large scale delamination of laminate |
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DOI:10.7511/jslx19952021 |
中文关键词: 分层 复合材料层板 应力强度因子/解析-分区变分解法 |
英文关键词:delamination(interface crack),laminate,stress intensity factor/analytical-varia-tional method of multi-region. |
基金项目:国家自然科学基金 |
孟庆春 张行 |
北京航空航天大学五系 |
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中文摘要: |
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)。 |
英文摘要: |
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. |
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