摘要
利用复变方法和解析函数边值问题的基本理论,研究一类复合材料焊接线上出现裂纹的平面弹性基本问题.笔者通过适当的函数分解和积分变换,将寻求复应力函数的问题转化为求解一正则型奇异积分方程,并借助积分方程理论给出了方程的求解方法.
In this paper, a class problem on interfacial cracks between welded dissimilar materials is studied by the method of complex variable and the theory of boundary value problems of analytic functions. Using proper decomposition of the functions and integral transformation, the problem is reduced to a singular integral equation, whose solution is given of the theory of integral equation.
出处
《应用数学与计算数学学报》
2002年第1期79-84,共6页
Communication on Applied Mathematics and Computation
基金
广东省自然科学基金资助项目(010446).
关键词
界面裂纹
复合材料
复变方法
奇异积分方程
interfacial cracks, compound materials, complex variable method, singular integral equation.
