摘要
基于三维弹性理论和压电理论 ,导出了材料系数在横观各向同性平面内梯度分布的压电体的状态方程 ;进而对材料系数按指数函数规律分布的半无限大压电体中的反平面裂纹问题进行了求解 ;利用 Fourier变换给出了半无限大压电体中位移、应力的形式解 ;并求得了裂纹尖端的应力强度因子及电位移强度因子 ,分析了不同材料系数及几何因素对它们的影响。
Based on the three dimensional theory of piezoeletric elasticity,the governing equations is deduced for the functionally graded piezoeletric materials,and the anti plane fractrue problems for half infinite piezoelectric medium is solved in the case of the material quality being in the form of exponential functions.We get the displacement and stress around the ccrack in the half infinity piezoeletrical medium by the way of Fourier transformation ,and then the stress intensity factor(SIF) and the electric displacement intensity factor(EDIF) near the crack tip are easily obtained.Finally,the influence of different material quality and geometrical size on SIF and EDIF is analyzed.
出处
《强度与环境》
2001年第4期29-37,共9页
Structure & Environment Engineering
关键词
功能梯度材料
压电材料
应力强度因子
电位移强度因子
反平面断裂
Functionally graded piezoeletric materials
Piezoeletric material
Stress intensity factor
eletric displacement intensity factor
