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.
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.
关键词
应力强度因子
有限元
守恒积分
裂纹
断裂力学
stress intensity factor
finite element method/conservation integration