压电复合材料中双周期圆柱形夹杂的反平面问题  

Anti-plane problems of doubly periodic cracks of cylindrical inclusion of piezoelectric composite materials

作　　者：常莉红[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《宝鸡文理学院学报（自然科学版）》2010年第1期19-22,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：宝鸡文理学院院级课题(ZK09128)

摘　　要：目的讨论无限大均匀压电复合材料中裂纹中心位于矩形顶点且成双周期分布的反平面问题。方法利用保角变换及其椭圆函数进行研究。结果/结论给出了压电复合材料中裂纹中心位于矩形顶点且成双周期分布的反平面问题的封闭解,而且得到了应力强度因子和电位移强度因子。Aim To investigate the anti-plane problem of crack centers that lie in rectangular vertices and show doubly periodical distribution in infinite and uniform piezoelectric composite materials. Methods Conformal mapping and elliptical function are used to investigate the anti-plane problem. Results/Conclusion The closed-form solution of the anti-plane problem of crack centers that lie in rectangular vertices and show doubly periodical distribution in piezoelectric composite materials is put forward. In the meantime, stress intensity factor and electric displacement intensity factor are obtained.

关 键 词：压电复合材料 双周期 椭圆函数 

分 类 号：O174.5[理学—数学]