双相压电介质中界面附近圆孔的动态性能分析  

Dynamic performance analysis of circular cavity near interface in piezoelectric bimaterials

作　　者：李冬[1] 宋天舒[1] 

机构地区：[1]哈尔滨工程大学航天与建筑工程学院,哈尔滨150001

出　　处：《振动与冲击》2011年第3期91-95,共5页Journal of Vibration and Shock

基　　金：黑龙江省自然科学基金项目(A00-10);哈尔滨工程大学基础研究基金项目(HEUF04008)

摘　　要：采用Green函数法研究界面附近含圆形孔洞的双相压电介质对时间谐和SH波的散射问题。首先利用复变函数的方法构造出适合于该问题的位移Green函数和电场Green函数。然后利用契合思想,根据界面上的连续性条件建立起求解问题的第一类Fredholm型积分方程,得到了圆孔孔边周向剪应力的动应力集中系数和周向电场强度集中系数的解析表达式。最后作为算例,给出了界面附近圆孔边界的两组集中系数随入射波频率、材料的几何参数和物理参数变化的计算结果图,部分计算结果与已有文献进行了比较。Based on the method of Green＇s function,the problem of SH-wave scattering by a circular cavity near the interface in two wells bonded piezoelectric materials was investigated.Coupled Green＇s functions for out-plane elastic displacement and in-plane electric potential were constructed by using complex variable function,which are suitable for the problem of two semi-infinite piezoelectric materials with a circular cavity near the surface in one of them.Based on the method of conjunction and the continuity condition of the interface,the two semi-infinite media were bonded,while a series of Fredholm integral equations of first kind for the unknown stresses and electric field was established so as to obtain the expressions of dynamic stress concentration factor and electric field intensity concentration factor around the circular cavity edge.Some calculation examples were plotted to show the influences of the frequencies of incident wave,geometric parameters and piezoelectric characteristic parameters on dynamic stress concentration factor and electric field intensity concentration factor.

关 键 词：动应力集中系数 电场强度集中系数 双相压电介质 界面附近圆孔 GREEN函数 

分 类 号：O346[理学—固体力学]