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Solutions for a Mode Ⅲ Growing Crack in a Piezoelectric Plane Under Two Kinds of Electric Boundary Conditions *

成长的模式 III 的解决方案在二种电的边界条件下面在一架压电的飞机裂开

作     者:张兴武 刘凯欣 

作者机构:DepartmentofMechanicsandEngineeringSciencePekingUniversityBeijing100871 

出 版 物:《Chinese Physics Letters》 (中国物理快报(英文版))

年 卷 期:2003年第20卷第11期

页      面:2036-2038页

核心收录:

学科分类:080801[工学-电机与电器] 0808[工学-电气工程] 08[工学] 0805[工学-材料科学与工程(可授工学、理学学位)] 080502[工学-材料学] 

基  金:国家自然科学基金国家杰出青年科学基金 

主  题:Boundary value problems 

摘      要:The solutions for a mode III crack growing along an arbitrary propagation path in a piezoelectric plane are studied under the impermeable surface condition and the electrical contact surface condition respectively. According to the two kinds of electric boundary conditions, the Hilbert and Riemann boundary value problems in a half-plane including opening smooth arc are obtained from the theoretical analysis. Moreover, the equipollence of the solution formed under these two electric boundaries is proved, and unified solutions for the stress and electric displacement distribution in the crack-tipfield of the piezoelectric plane are achieved.

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