基于相互作用积分法的压电裂纹边界元分析  

Analysis of Boundary Element for Piezoelectric Cracks Using an Interaction Integral Method

作　　者：雷钧[1] 刘和国[1] 杨庆生[1] 

机构地区：[1]北京工业大学机械工程与应用电子技术学院,北京100124

出　　处：《北京工业大学学报》2016年第2期161-166,共6页Journal of Beijing University of Technology

基　　金：国家自然科学基金资助项目(11472021)

摘　　要：为了获得更为精确高效的压电裂纹分析方法,推导了压电材料中基于相互作用积分计算裂尖场集中系数的计算公式,并成功应用于相应的边界元分析软件.应用此软件,对PZT-4压电材料在不同加载条件、不同的极化方向等情况下压电矩形板中的中心直裂纹以及边裂纹问题进行了分析,验证了相互作用积分法的路径无关性,并且计算出各型裂尖场集中系数,与相应的基于J积分法以及位移插值法获得的结果对比良好,说明该方法是一种高效准确的压电裂纹分析方法.To get a more effective and accurate method to study the fracture behavior of the piezoelectric materials,a computational formula based on the interaction integral method to calculate the crack-tip field intensity factors was obtained in this paper.This method was successfully applied to the boundary element analysis software.With this software,the fracture behavior of PZT-4 made piezoelectric board's central crack and edge crack under different loading conditions was analyzed in different polarization directions.The path-independent characteristics of the interaction integral method was verified.The crack-tip field intensity factors obtained were compared well with the results of both the J integral method and the displacement interpolating method.This proves that this method is effective and accurate.

关 键 词：相互作用积分 边界元法 压电材料 强度因子 极化方向 

分 类 号：U461[机械工程—车辆工程] TP308[交通运输工程—载运工具运用工程]