无限大功能梯度压电材料中反平面Yoffe型运动裂纹  

Anti-plane moving Yoffe-crack problem for an infinite functionally graded piezoelectric materials

作　　者：马海龙[1] 李星[2] 

机构地区：[1]宁夏大学民族预科部 [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）》2005年第4期89-95,共7页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金(10161009)宁夏自然科学基金(NZ0517)宁夏大学科研基金(QN0407)资助项目.

摘　　要：假设裂纹面上的边界条件为电渗透型的,从而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;利用Fourier变换给出了无限大压电体中位移、应力、电势、电位移的解析表达式;并求得了裂纹尖端动应力强度因子、电位移强度因子及电场强度因子,分析了不同的非均匀材料系数、几何尺寸及裂纹运动速度对它们的影响.In this paper it was assumed that boundary conditions were permeable along the crack surface and then the governing equations were deduced for the functionally graded piezoelectric materials. We obtained the displacement, stress, electric potential and electric displacement around the crack in the infinite piezoelectric medium by way of Fourier transform, and then the dynamic stress intensity factor, the electric displacement intensity factor and electric field intensity factor near the crack tip were obtained. Finally, the influence of different nonhomogeneous material properties, geometrical size and the moving velocity of the crack on dynamic stress intensity factor, the electric displacement intensity factor and electric field intensity factor were analyzed.

关 键 词：灯能梯度压电材料 动应力强度因子 电位移强度因子 电场强度因子 

分 类 号：O343[理学—固体力学]