摘要
运用Ｓｃｈｗａｒｙ—Ｃｈｒｉｓｔｏｆｆｅｌ变换导出了断裂力学中裂纹到单位国映射的一般表达式，分析了该映射的特性，并导出了象点应满足的必要条件，为确定裂纹的映射函数提供了理论依据和方法，并对几种典型裂纹的映射进行了分析。
he general expressions of the mapping function from the crack to a unitcircle for the fracture mechanics are obtained by utiliying the schwary-christoffel tranformation. The basic properties of the mapping are analysed and a necessary condition is derived for which the image points of crack venices must be satisfied, providing some theoretic basis for the method of determining the mapping function of crack problem. With regard to several typical crack problems, the mappings are discussed. respectively.
出处
《山东建材学院学报》
1994年第1期82-87,共6页
Journal of Shandong Institute of Building Materials
关键词
保角映射
裂纹
映射函数
断裂力学
conformal mapping
crack
mapping function
image point
