压电材料裂纹顶端条状电饱和区模型的力学分析

在线性压电本构方程框架下，对裂纹顶端条状电饱和区模型进行了严格的数学分析．完整地考虑了各向异性力电耦合效应．建立了电饱和区尺寸与外加电场的依赖关系．证实了当裂纹垂直极化轴时，压电材料的断裂应力随着外加正电场的增加而减小，随着外加负电场的增加而增加．当裂纹平行于极化轴时，与极化轴平行的外加电场对断裂应力无影响

ANALYSIS OF STRIP ELECTRIC SATURATION MODEL OF CRACK PROBLEM IN PIEZOELECTRIC MATERIALS 1)

This paper presents a fully anisotropic analysis of strip electric saturation model proposed by Gao, Zhang and Tong for piezoelectric materials. A complete exact solution is obtained for a single crack in an infinite pizoelectric media. The relationship between the size of the strip saturation zone ahead of a crack tip and the applied electric field is established. It is found that the size of the strip saturation zone ahead of a crack tip is independent of the applied stress. The explicit formula for...