各向异性材料界面周期刚性线夹杂的反平面问题  

Antiplane Problems of Periodical Rigid Line Inclusions Between Dissimilar Anisotropic Materials

作　　者：刘又文[1] 

机构地区：[1]湖南大学工程力学系,长沙410082

出　　处：《应用数学和力学》2001年第10期1037-1042,共6页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目 (19972 0 0 5 )

摘　　要：研究了两种各向异性材料界面含周期分布刚性线夹杂的反平面剪切问题·　运用复变函数方法 ,获得了封闭形式解答 ,并给出了刚性线尖端应力场公式·　从该文解答的特殊情形 ,可直接导出各向同性材料界面以及均匀各向异性材料中相应问题的公式 ,其极限情形与已有的结果吻合·The antiplane shear problems of periodical rigid line inclusions between dissimilar anisotropic materials are dealt with. By using the complex variable method, the closed form solutions are obtained. The stress distribution in the immediate vicinity of the rigid line is examined. The corresponding formulation between dissimilar isotropic materials and in homogeneous anisotropic medium can be derived from the special cases of those in the present paper, and the limit conditions are in agreement with the previously known results.

关 键 词：各向异性材料 界面断裂 周期刚性线夹杂 反平面剪切 固体材料 裂纹 复合材料 

分 类 号：O343.1[理学—固体力学]