含裂纹的功能梯度压电带反平面动态冲击问题研究  

Impact fracture analysis of functionally graded piezoelectric strip with a finite crack under anti-plane load

作　　者：张保文[1] 丁生虎[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：《安徽大学学报（自然科学版）》2014年第5期44-51,共8页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11362018;11261045);高等学校博士学科点专项科研基金资助项目(20116401110002)

摘　　要：研究功能梯度压电带的反平面动态裂纹问题.假设功能梯度压电材料的材料性质沿其厚度方向按指数函数变化,考虑在非渗透型边界条件下,运用Laplace和Fourier变换,将混合边值问题转化为Laplace变换频域里的奇异积分方程,然后利用Laplace逆变换的数值方法求出动态应力强度因子和电位移强度因子.讨论载荷耦合参数、材料分布形式和裂纹位置等因素对断裂行为的影响.数值计算结果对压电材料的设计及应用有参考价值.In this paper,the dynamic anti-plane problem for a functionally graded piezoelectric strip with a finite crack was studied.The properties of the functionally graded piezoelectric strip were assumed in exponential forms and vary along the thickness direction.The crack was assumed to be impermeable.The mixed boundary value problem was reduced to singular integral equations in the Laplace frequency domain by using Laplace and Fourier transforms.The numerical methods of inverse Laplace transform were employed to obtain the dynamic stress intensity factor（DSIF） and electric displacement intensity factor（EDIF）.The numerical results showed the effects of loading combination parameter,material distribution and crack confguration on the fracture behavior.The results presented the reference value in the design and application of piezoelectric materials.

关 键 词：功能梯度压电材料 裂纹 奇异积分方程 应力强度因子 

分 类 号：O346.1[理学—固体力学]