新电位移边界条件下的压电介质断裂问题  

Electric Fracture Mechanics in Piezoelectric Materials on New Electric Boundary Condition

作　　者：张志华[1] 王林江[1] 吕庆风[1] 

机构地区：[1]南京航空航天大学无人机所,南京210016

出　　处：《南京航空航天大学学报》2000年第2期234-238,共5页Journal of Nanjing University of Aeronautics & Astronautics

摘　　要：应用边界元法 ,并结合一种特殊的复变函数基本解 ,研究了压电介质的断裂问题。由于该基本解完全遵循本构方程没有对电位移边界作任何假设 ,所以结论同非穿透性裂纹假设的结果有较大差异。通过计算表明 ,外加力载荷不但会引起裂纹尖端应力奇异性 ,也会引起电场奇异性 ,同样 。A boundary element formulation, incorporating a derived fundamental as its kernels, is developed. This Green′s function is got under constitutive relations without assuming that the electric displacement on the hole is zero.An exact electric boundary condition is proposed,in which the electric permeability of air in a crack gap is considered. Examples are given in which the stress intensity factors are obtained with the procedure compiled by this paper. The results show that the applied electric load leads to the singularity of stress in the crack tip.On the other hand,applied stress load also leads to singularity of electric field in the crack tip.

关 键 词：边界元法 压电材料 电位移 断裂问题 电场 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]