加层压电半空间界面裂纹力电联合冲击动态响应  

DYNAMIC RESPONSE OF INTERFACE CRACKS IN LAYERED PIEZOELECTRIC HALF SPACE SUBJECTED TO MECHANICAL AND ELECTRICAL IMPACTS

作　　者：冯文杰[1] 邹振祝[2] 张志国[2] 

机构地区：[1]石家庄铁道学院力学与工程科学系,河北石家庄050043 [2]哈尔滨工业大学航天工程与力学系,黑龙江哈尔滨150006

出　　处：《工程力学》2003年第6期75-80,共6页Engineering Mechanics

基　　金：国家自然科学基金(19772029);河北省博士基金(B2001213)资助项目

摘　　要：基于线性压电弹性理论,研究电绝缘和电接触两种电边界条件下,任意多个任意排列的压电加层半空间界面裂纹在力电联合冲击作用下的动态响问题。通过引进Laplace变换和 Fourier 变换及位错密度函数,将问题首先转化为Cauchy 奇异积分方程,进而转化为代数方程进行数值求解。数值算例表明,电载荷、加层厚度及材料参数对动能量释放率具有重要的但不同的影响。研究结果对结构设计及结构失效的预防具有理论和应用价值。The linear piezoelectricity theory is used to investigate the dynamic response of an array of interface cracks in layered piezoelectric half space subjected to the mechanical and electrical impacts. Two kinds of electric boundary conditions on crack surfaces, i.e. electric insulating and electric contacting, are adopted. Laplace and Fourier transforms and dislocation density functions are employed to reduce the mixed boundary value problem to Cauchy singular integral equations, and further to algebra equations in Laplace transform domain, which are solved numerically. Numerical results show that the electrical load, piezoelectric layer抯 thickness and material property parameters have important and different effects on dynamic energy release rate. The present results are of potential theoretical and applied value to the structure design and prevention of structure failure.

关 键 词：动态响应 动能量释放率 奇异积分方程 界面裂纹 加层压电半空间 积分变换 

分 类 号：O347.4[理学—固体力学]