反平面电弹性偏折裂纹的一个解析解  

AN ANALYTICAL SOLUTION FOR PROBLEM OF ANTIPLANE KINK CRACKS IN PIEZOELECTRIC MATERIALS

作　　者：侯密山[1] 徐国强[1] 胡玉林[1] 

机构地区：[1]中国石油大学(华东)工程力学系,青岛266580

出　　处：《工程力学》2013年第9期76-80,共5页Engineering Mechanics

基　　金：山东省自然科学基金项目(Y2007A31);中央高校基本科研业务费专项资金项目(12CX06075A)

摘　　要：该文用复变函数方法分析了压电材料反平面偏折裂纹问题,给出了问题的解析解,讨论了分支裂纹尖端的渐进场与奇异性。利用分支裂纹尖端扩展的能量释放率与J积分,研究了主支裂纹扩展方向,结果表明:压电材料Ⅲ型裂纹扩展时的分支角0,即裂纹扩展沿着主支裂纹的延长线方向。在理论上证明了前期对压电材料反平面裂纹的直线扩展假设及其相应结果的正确性。The problem of anti-place kink cracks in the piezoelectric materials is analyzed by using complex functions. The coupled filed and intensity factors of the branching crack tip are also studied. Using energy release rate and J integral for the branching crack tip, the main crack growth path is considered. Research has shown that the deflection angle of anti-place crack propagation in the piezoelectric materials is zero, in other words Z = O. It is proved theoretically that the assumptions and corresponding conclusions of piezoelectric materials plane crack-growth by a straight line are correct in earlier period.

关 键 词：压电材料 偏折裂纹 强度因子 能量释放率 J积分 

分 类 号：TB34[一般工业技术—材料科学与工程] O346.1[理学—固体力学]