弹性椭圆夹杂纵向剪切问题  

On the Longitudinal Shear Problem of Elastic Elliptical Inhomogeneity

作　　者：刘又文[1] 宁志华[2] 蒋持平[3] 

机构地区：[1]湖南大学工程力学系,长沙410082 [2]暨南大学土木系,广州510632 [3]北京航空航天大学,北京100083

出　　处：《力学季刊》2002年第3期417-421,共5页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(19972005)

摘　　要：获得纵向剪切下弹性椭圆夹杂问题的精确解。将复变函数的分区全纯函数理论,Cauchy型积分和Rie-mann边值问题相结合,求得各复势函数之间的解析关系,从而得到问题的封闭形式解,并给出了界面应力的解析表达式。本文解答与已有文献结果一致。本文发展的分析方法,为求解复杂多连通域的平面弹性问题提供了一条有效途径。A precise solution of elastic elliptical inhomogeneity problem under antiplane shear was provided in this paper. Combining the theory of sectional holomorphic function in complex variable function with Cauchy model integral and Riemann boundary problem, the analysis relation between the complex potentials was obtained. The solutions are the same as those existent. The interfacial stresses were also formulated. The method developed in this paper offers an effective method for solving the plane elastic problems on complex multiply connected region.

关 键 词：弹性椭圆夹杂 纵向剪切 反平面问题 复变函数方法 界面应力 平面弹性问题 

分 类 号：O343[理学—固体力学]