各向异性弹性平面含斜裂纹的混合解析函数方法  

Mixed Analytic Function Method for Anisotropic Elastic Plane with Oblique Cracks

作　　者：陈彦晓 

机构地区：[1]上海电子信息职业技术学院公共基础学院,上海

出　　处：《应用数学进展》2024年第7期3212-3219,共8页Advances in Applied Mathematics

摘　　要：文章应用平面弹性复变方法,得到各向异性弹性平面上复应力函数的混合解析函数表达式,并将无限各向异性弹性平面上任意斜裂纹问题归结为求解一组混合解析函数边值问题,通过仿射变换将边值问题转化为奇异积分方程,最终求出复应力函数及其相应分量。The hybrid analytic function expressions of the Airy stress function in anisotropic elastic plane were obtained by the method of plane elastic complex variable, and the problem of arbitrary oblique crack in an infinite anisotropic elastic plane boils down to solving a set of mixed boundary value problems of analytic function, the boundary value problem by affine transformation into a singular integral equation, finally the complex stress function and its corresponding weights were found out.

关 键 词：各向异性 混合解析函数 复应力函数 斜裂纹 

分 类 号：O17[理学—数学]