非均匀材料反平面裂纹问题的特征函数  

The eigen-functions of anti-plane crack problems in non-homogeneous materials

作　　者：戴耀[1] 张磊[1] 张鹏[1] 李世民[1] 刘军锋[1] 种肖[1] 

机构地区：[1]装甲兵工程学院,北京100072

出　　处：《中国科学：物理学、力学、天文学》2012年第8期852-860,共9页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金资助项目(批准号:11172332)

摘　　要：针对非均匀材料的线弹性断裂力学基本理论问题,从理论上探讨了将均匀材料的特征函数结构即Williams解推广到非均匀材料的合理性;并以反平面问题为例,给出了该问题任意阶特征函数的定解方程;进一步给出了非均匀材料反平面问题的Williams型解.该特征函数解从理论上揭示了非均匀性对裂纹尖端场结构的影响.For the basic elastic fracture mechanics problems, we discussed the reasonability of introducing the Williams＇ solution of homogeneous materials to non-homogeneous materials in this paper. Taking the anti-plane crack problem as an example, we give its governing equations for arbitrary order eigen-function, and provide the Williams＇ solution for anti plane crack problem in non-homogeneous materials. This eigen-function theoretically reveals the effect of non-homogeneity on the structure of crack tip field.

关 键 词：特征函数 非均匀材料 Williams解 裂纹尖端场 

分 类 号：O346.1[理学—固体力学]