用边界轮廓法求解断裂力学M积分  

THE EVALUATION OF M INTEGRAL WITH BOUNDARY CONTOUR METHOD

作　　者：陈颂英[1] 徐桦[2] 邱炜 朱兵 

机构地区：[1]山东大学机械工程学院 [2]济南炼油厂科研所济南250101 [3]济南市政工程设计研究院 [4]济南市经委信息中心

出　　处：《山东工业大学学报》2000年第6期552-556,共5页

摘　　要：证明断裂力学 M积分方程的被积函数的散度等于零 ,将面积分转化为积分势函数在边界点的数值计算 ,达到降两维的效果 .利用边界轮廓法的结果 ,使 M积分的求解转化为边界点的位移和面力的线性迭加 。The divergence free property of M integral of fracture mechanics is presented , the integrand is replaced by a curl of one vector function. Surface integral is transformed to linear integral in terms of Stokes′ theorem such that two dimensions of the original problems can be reduced. The evaluation of M integral equals the linear combination of the displacements and tractions on the boundary point solved by Boundary Contour Method and numerical integrals are not needed at all.

关 键 词：断裂力学 边界轮廓法 M积分 被积函数 位移 面力 

分 类 号：O346.1[理学—固体力学]