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.
出处
《中国科学：物理学、力学、天文学》
CSCD
北大核心
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)
