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王自强. 压电材料裂纹顶端条状电饱和区模型的力学分析[J]. 力学学报, 1999, 31(3): 311-319. DOI: 10.6052/0459-1879-1999-3-1995-036
引用本文: 王自强. 压电材料裂纹顶端条状电饱和区模型的力学分析[J]. 力学学报, 1999, 31(3): 311-319. DOI: 10.6052/0459-1879-1999-3-1995-036
ANALYSIS OF STRIP ELECTRIC SATURATION MODEL OF CRACK PROBLEM IN PIEZOELECTRIC MATERIALS 1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(3): 311-319. DOI: 10.6052/0459-1879-1999-3-1995-036
Citation: ANALYSIS OF STRIP ELECTRIC SATURATION MODEL OF CRACK PROBLEM IN PIEZOELECTRIC MATERIALS 1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(3): 311-319. DOI: 10.6052/0459-1879-1999-3-1995-036

压电材料裂纹顶端条状电饱和区模型的力学分析

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

  • 摘要: 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

     

    Abstract: 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...

     

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