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半平面压电体的Green函数及其应用
引用本文:刘金喜,王彪.半平面压电体的Green函数及其应用[J].应用数学和力学,1997,18(11):967-973.
作者姓名:刘金喜  王彪
作者单位:哈尔滨工业大学复合材料研究所!哈尔滨,150001,哈尔滨工业大学复合材料研究所!哈尔滨,150001,哈尔滨工业大学复合材料研究所!哈尔滨,150001
摘    要:本文研究半平面压电体在线力、电荷和位错作用下的弹性场和电场,即Green函数.基于各向异性弹性力学中的Stroh方法和解析延拓理论,推导了Green函数的封闭形式的解.作为解的应用,分析了含半无限裂纹的无限大压电介质的机电耦合场,给出了应力和电位移强度因子的解析表达式.

关 键 词:半平面压电体  Green函数  半无限裂纹  应力强度因子  电位移强度因子

Electro-Elastic Green's Functions for a Piezoelectric Half-Space and Their Application
Liu Jinxi, Wang Biao, Du Shanyi.Electro-Elastic Green''s Functions for a Piezoelectric Half-Space and Their Application[J].Applied Mathematics and Mechanics,1997,18(11):967-973.
Authors:Liu Jinxi  Wang Biao  Du Shanyi
Abstract:In this paper, the electro-elastic solutions for a piezoelectric half-space subjected to a line force, a line charge and a line dislocation, i. e., Green's functions, are studied. Based on the Stroh formalism and the concept of analytical continuation, explicit expressions for Green's functions are derived. As a direot application of the results obtained, an infinite piezoelectric solid containing a semi-infinite crack' is examined. Attention is focused on the stress and electric displacement fields of a crack tip, The stress and electric displacement intensity factors are given explicitly.
Keywords:piezoelectric half-space  Green's function  semi-infinite crack  stress intensity factor  electric displacement intensity factor
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