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压电材料中双周期裂纹的反平面应变问题
引用本文:常莉红,丁生虎,李星.压电材料中双周期裂纹的反平面应变问题[J].宁夏大学学报(自然科学版),2011,32(1):18-21,27.
作者姓名:常莉红  丁生虎  李星
作者单位:1. 宝鸡文理学院数学系,陕西宝鸡,721007
2. 宁夏大学数学计算机学院,宁夏银川,750021
基金项目:国家自然科学基金资助项目,陕西省教育厅科研项目,宁夏自然科学研究项目,宝鸡文理学院重点科研项目
摘    要:讨论了无限大均匀压电材料中裂纹中心位于等腰三角彤顶点且呈双周期分布的裂纹的反平面问题.利用保角变换及椭圆函数,求出了其封闭解,并且给出了应力和电位移强度因子表达式.

关 键 词:压电材料  双周期  椭圆函数

Anti-plane Problems of Doubly Periodic Cracks in Piezoelectric Materials
Chang Lihong,Ding Shenghu,Li Xing.Anti-plane Problems of Doubly Periodic Cracks in Piezoelectric Materials[J].Journal of Ningxia University(Natural Science Edition),2011,32(1):18-21,27.
Authors:Chang Lihong  Ding Shenghu  Li Xing
Institution:Chang Lihong1,Ding Shenghu2,Li Xing2 (1.Department of Mathematics,Baoji College of Arts and Sciences,Baoji 721007,China,2.School of Mathematics and computer Science,Ningxia University,Yinchuan 750021,China)
Abstract:In this paper,the anti-plane problem of the double period cracks in piezoelectric materials is investigated.Using the method of conformal mapping and elliptical function,the solution in closed form has been obtained,and then thereby the intensity factors of both mechanics and electric are obtained.
Keywords:piezoelectric Materials  doubly periodicity  elliptical function  
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