正交异性板裂纹端部应力及变形通解  

General Solution of Stress and Deformation at Crack-Tip for Orthotropic Plate

作　　者：贾普荣[1] 

机构地区：[1]西北工业大学力学与土木建筑学院,陕西 西安

出　　处：《力学研究》2020年第2期70-76,共7页International Journal of Mechanics Research

摘　　要：本文根据正交异性板的力学性能,确定平面应力弹性力学的基本方程,利用复变函数方法求解含裂纹正交异性板的应力边值问题。采用I型裂纹作为典型实例,讨论了裂纹端部应力与变形的一般解法,推导出正交异性板的奇异应力和应变场,并得到裂纹张开位移与材料特性的关系。The basic equation of elastic mechanics at plane stress state is determined by the mechanical characteristic of orthotropic plate. The stress boundary problem about the orthotropic plate with a crack is solved by using the complex function method. To take Mode I crack problem for the typical example, the general solution method is discussed for the stress and deformation near the crack-tip. And the singular stress and strain fields are derived for the orthotropic plate. The crack opening displacement is yet obtained to have a relation with the material characteristics.

关 键 词：正交异性板 裂纹端部 复变函数 应力和应变 裂纹张开位移 

分 类 号：O17[理学—数学]