含界面中心裂纹的压电材料反平面问题  

Anti-Plane Problem for Interface Center Crack of Piezoelectric Materials

作　　者：张保文[1] 李星[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》2006年第2期161-164,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10461008);宁夏自然科学基金资助项目(NZ0517)

摘　　要：研究了含界面中心裂纹的不同压电材料在反平面剪切载荷和平面内电场作用下的反平面问题.得到了用级数表示的满足控制拉普拉斯方程和可导通边界条件的基本解及应力强度因子.最后用边界配置法求解了应力强度因子与截面几何尺寸之间的关系.结果表明,边界配置法计算简便,具有广泛的应用性.In this paper, the problem of a center crack embedded in the interface of two different piezoelectric materials is analyzed under anti-plane mechanical load and in-plane electric load. A general solution and the stress intensity factor are obtained in term of series expansion, which satisfies both Laplace equation and the permeable boundary condition. The boundary collocation method is used to calculate the relationship between the stress intensity factor and section geometry. It is shown that this method is simple and applicable.

关 键 词：压电材料 边界配置法 界面裂纹 应力强度因子 

分 类 号：O174.5[理学—数学]