功能梯度压电带粘接功能梯度压电材料裂纹问题  

Crack problem for a functionally graded piezoelectric strip bonded to a functionally graded piezoelectric material

作　　者：丁生虎[1] 李星[2] 

机构地区：[1]上海交通大学数学系,上海200240 [2]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《兰州大学学报（自然科学版）》2008年第1期102-107,共6页Journal of Lanzhou University(Natural Sciences)

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

摘　　要：研究一功能悌度压电带粘接到一不同的功能梯度压电材料上的反平面裂纹问题.假设功能梯度压电带包含一裂纹垂直于界面,其材料性质沿着裂纹方向变化.分别考虑不可渗透型裂纹边界条件和可渗透型裂纹边界条件,运用Fourier变换—奇异积分方程方法对问题进行了求解.数值结果以图表的形式显示裂纹几何性、非均匀材料参数β和γ对应力和电位移强度因子以及能量释放率的影响.This paper investigates the anti-plane problem of a crack in a functionally graded piezoelectric strip bonded to a functionally graded piezoelectric material. It is assumed that a crack is perpendicular to the interface in the functionally graded piezoelectric strip and the materials properties vary along the direction of the crack length. Both impermeable and permeable cracks are considered. Using the Fourier transform-singular integral equation approach, the problem is solved numerically, Some numerical results are presented graphically to show the effects of crack geometric parameters and nonhomogeneous parameters β and γ on the stress and electric displacement intensity factor and the energy release rate.

关 键 词：功能梯度压电材料 不可渗透型裂纹 可渗透型裂纹 傅立叶变换 奇异积分方程 

分 类 号：O346.1[理学—固体力学]