杨晓翔,范家齐,匡震邦.求解混合型裂纹应力强度因子的围线积分法[J].计算力学学报,1996,13(1): |
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求解混合型裂纹应力强度因子的围线积分法 |
A contour integral method for stress intensity factors of Mixed-Mode crack |
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DOI:10.7511/jslx19961013 |
中文关键词: 应力强度因子,有限元法/守恒积分 |
英文关键词:stress intensity factor,finite element method/conservation integration, |
基金项目: |
杨晓翔 范家齐 匡震邦 |
大庆石油学院机械系!151400(杨晓翔,范家齐) ,西安交通大学!710049(匡震邦)
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中文摘要: |
本文用复变函数理论推导出裂纹的辅助场,并用Betti功互等定理给出求解混合型裂纹应力强度因子的远场围绕积分法.此方法与积分路径的选择无关,用有限元法计算出远离裂纹尖端的位移场和应力场,就可通过计算绕裂端的围线积分,精确地给出混合型裂纹的应力强度因子KⅠ和KⅡ的数值解. |
英文摘要: |
On the basis of Muskhelishvili's complex function theory, an auxiliary field of mixedmode crack was accomplished, and then using Betti's reciprocal work theorem, a path independent contour integral method for stress intensity factors of mixed-mode crack was obtained. When the stress and displacement fields in a specimen are calculated by finite element method, the stress intensity factors K and K of mixed-mode crack can be obtained immediately by a contour integral. |
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