含圆柱形衬砌直角域压电体的动力反平面特性  

Dynamic anti-plane characteristic for a quarter-infinite piezoelectric medium with a cylindrical lining

作　　者：孙丽丽[1] 宋天舒[2] 刘建[2] 

机构地区：[1]青岛理工大学琴岛学院土木工程系,青岛266106 [2]哈尔滨工程大学航天与建筑工程学院,哈尔滨150001

出　　处：《青岛理工大学学报》2013年第6期100-106,共7页Journal of Qingdao University of Technology

基　　金：黑龙江省自然科学基金资助项目(A00-10)

摘　　要：探讨了直角域附近一圆形衬砌对压电材料的反平面动力学行为的影响.通过利用镜像法对直角域情况进行等效处理到全空间中,在复数域中利用衬砌周围的边界条件构造方程求解未知系数,并通过编程进行最终的数值计算得出压电材料在衬砌周围的动应力和电场集中系数.在数值计算中,重点讨论了衬砌和基体为不同材料、衬砌和基体电极化方向相同和不同时,它们随压电材料物理系数、结构几何参数,以及入射波的频率变化的计算结果.结果表明,在SH波的作用下,压电材料在衬砌周围的动应力集中系数和电场集中系数都有一定的相似性,并且沿衬砌周围有规律的分布,然而在入射波的频率较低时二者的值相对较大,同时计算结果还与全空间衬砌下的计算结果有一定的相似性.This thesis discusses the dynamic anti-plane characteristic influence of a cylindrical lining near a quarter-infinite on piezoelectric medium. By using the mirror method to transform the quarter space to the whole space under the complex coordinate system, it constructs equations to solve the unknown coefficient with the help of the boundary conditions around the cylindrical lining in the complex coordinate system, and calculates the dynamic stress concentration factor （DSCF） and the electric field intensity concentration factor （EFICF） around the cylindrical lining through some numerical calculations in programming. In the stage of numerical calculation, it focuses on lining and matrix changes with the change of medium coefficient, structure geometry parameter and frequency of incident wave as their material and electrode direction are different or same from each other. The calculating results indicate that dynamic stress concentration factor and electric field intensity concentration factor around the cylindrical lining bear a certain similarity to each other under the action of SH wave and distribute regularly along the edge of the cylindrical lining. While the result of DSCF and EFICF are larger than any other situations when the frequency of the incident wave is low.The results also reflect great similarity to that on the whole space condition .

关 键 词：直角域压电介质 圆柱形衬砌 动力反平面行为 动应力集中系数(DSCF) 电场集中系数(EFICF) 

分 类 号：O343.4[理学—固体力学]