含曲线裂纹的压电材料反平面应变问题  

ANTI-PLANE STRAIN PROBLEMS OF CURVILINEAR CRACKS IN PIEZOELECTRIC MATERIAL

作　　者：侯密山[1] 钱秀清[1] 

机构地区：[1]石油大学建筑工程系,山东东营257061

出　　处：《石油大学学报（自然科学版）》2001年第2期95-99,105,共6页Journal of the University of Petroleum,China(Edition of Natural Science)

基　　金：山东省自然科学基金资助项目 (项目编号 :Y99A0 2 )

摘　　要：用复函数的Faber级数展开方法 ,通过求解Hilbert问题研究了含任意曲线裂纹的压电材料反平面应变问题 ,获得了问题的解析解和场强度因子。结果表明 ,当边界上仅受应力和电位移载荷作用时 ,应力场与电位移载荷无关 ,电位移场与应力载荷无关。算例中分别给出了圆弧裂纹的强度因子和椭圆弧裂纹问题的无量纲强度因子。The analytic solution and the intensity factor of anti plane strain problems of curvilinear cracks in piezoelectric materials are obtained by using the Faber series expansion of complex variable functions and solving Hilbert problem. The stress field is independent of the electric displacement loading, and the electric displacement field is independent of the stress loading while there only are stress and electric displacement loading on the boundary. The intensity factor of circular arc cracks and elliptical cracks are obtained in some special cases.

关 键 词：压电材料 曲线裂纹 反平面应变 Faber级数 

分 类 号：O482.41[理学—固体物理] TM22[理学—物理]