功能梯度材料与压电材料拼接界面上的反平面运动裂纹  

Moving Crack at the Interface between Functionally Graded and Piezoelectric Layers

作　　者：郭玉彬[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）》2008年第3期193-197,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10661009);宁夏自然科学基金资助项目(NZ0604)

摘　　要：在忽略界面上裂纹尖端裂纹面相互叠入的前提下,讨论了功能梯度材料与压电材料拼接界面上的反平面运动裂纹问题.通过Fourier积分变换,将混合边值问题转化为对偶积分方程,并利用Copson-Sih方法将对偶积分方程转化为第二类Fredholm积分方程进行求解,给出了反平面位移、电势及应力分量的解析表达式.最后,通过数值计算分析了梯度参数、裂纹运动速度以及几何尺度比率对应力强度因子的影响.The behavior of moving crack at the interface between functionally graded and piezoelectric layers is investigated under the assumption that the effect of the crack surface overlapping very near the crack tips is negligible. Fourier transforms are used to reduce the problem to the solution of a pair of dual integral equations, which are then reduced to a Fredholm integral equation of second kind by the Copson-Sih method, and anti-plane displacement, electric potential and stress are obtained. At last, the influences of graded parameter, the moving velocity of the crack and geometrical size on dynamic stress intensity factor are analyzed.

关 键 词：功能梯度材料 压电材料 运动裂纹 混合边值问题 对偶积分方程 应力强度因子 

分 类 号：O343[理学—固体力学]