压电材料反平面运动裂纹的能量释放率与分叉角  

Energy Release Rate and Bifurcation Angles of Dynamic Electroelastic for Piezoelectric Materials with

作　　者：侯密山[1] 

机构地区：[1]石油大学,东营257062

出　　处：《应用力学学报》2001年第2期53-58,共6页Chinese Journal of Applied Mechanics

基　　金：山东省自然科学基金资助项目 (项目编号 :Y99A0 2 )

摘　　要：用复变函数方法 ,研究了压电材料中反平面运动裂纹的动态断裂问题。研究表明 :介质内的耦合场与裂纹运动速度有关 ,在裂纹尖端有奇异 ;应力强度因子与裂纹运动速度无关 ,与纯弹性结论一致 ;沿裂纹延长线扩展的动态能量释放率可用应力强度因子表示 ,而与电载荷无关 ,裂纹运动的高速度具有止裂作用 ;在一定条件下 。The problem of dynamic fracture mechanics for the piezoelectric materials with a ntiplane moving crack is analyzed by using function of complex variable. The st udy shows that the coupled elastic and electric fields inside piezoelectric med ia depend on the speed of the crack propagation, and have singularity at the cr ack tip. The stress intensity factor is independent of the speed of the crack p ropagation, and is identical to the conclusion of pure elasticity. The dynamic energy release rate increases with crack speed increasing, and can be expressed in terms of the stress intensity factor. Which does not depend on the electric loading. High speed of the crack movement can prevent the crack propagating. On some definite conditions, the crack can be propagated into either curve or bifu rcation.

关 键 词：电弹性动力学 断裂动力学 强度因子 能量释放率 裂纹分叉角 压电材料 反平面运动裂纹 

分 类 号：O346.11[理学—固体力学]