压电螺型位错与含界面效应纳米夹杂干涉研究  

Interaction between a Screw Dislocation and a Nanoscale Inhomogeneity with Interface Effects

作　　者：方棋洪[1,2] 许维[1,2] 冯慧[1,2] 刘又文[1,2] 

机构地区：[1]湖南大学汽车车身先进制造国家重点实验室,湖南长沙410082 [2]湖南大学机械与运载工程学院,湖南长沙410082

出　　处：《湖南大学学报（自然科学版）》2012年第4期31-36,共6页Journal of Hunan University:Natural Sciences

基　　金：国家重点实验室自主课题(60870005);国家自然科学基金资助项目(50801025;10872065;11172094)

摘　　要：研究在无穷远纵向剪切和平面内电场作用下压电智能材料中螺型位错与考虑界面应力纳米尺度夹杂(纤维)间的力电耦合交互作用.运用复势方法,求解了夹杂和基体中复势函数的解析解以及应力场和电位移场分量.利用广义Peach-Koehler公式,给出了作用在压电螺型位错上位错像力的解析解答.研究结果表明:当夹杂的半径缩减到纳米尺度时,界面效应对夹杂(纤维)附近位错运动和平衡位置的影响将变得非常显著.正界面效应将排斥基体中的位错;当存在正的界面效应时,软夹杂能排斥界面附近的压电螺型位错.The interaction of a piezoelectric screw dislocation in the matrix with interface effects under remote anti-plane shear stresses and in-plane electric loads in transversely isotropic piezoelectric solids was investigated.By using the complex variable method,the general solutions to the problem were given.With the aid of the Peach-Koehler formula,the explicit expressions of the image force acting on the screw dislocations were given.The results have indicated that the influence of the interface stress on the motion and the equilibrium of the dislocation near the inhomogeneity become significant when the radius of the inhomogeneity is reduced to nanometer scale.If the dislocation is located in the matrix,the positive interface effects can repel it.The soft inhomogeneity can also repel the screw dislocation near the inhomogeneity when the positive interface effect is considered.

关 键 词：压电材料 螺形位错 界面应力 复势函数方法 位错力 

分 类 号：O343.7[理学—固体力学]