非局部场中位错与空洞的相互作用

The Interaction of a Dislocation with a Hole in Non-local Elasticity

本文得到了当材料存在空洞时,螺位错的非局部应力场的解析解以及空洞与螺位错的相互作用力,所得的结果消除了结典奇异性.位错所受的最大力在空洞自由表面附近,估计了理论强度力和相互作用的极大值,最后讨论了对应于所得的最大作用力时空洞的临介半径 Rc,当R→0时,所得的结果可以返回到无限介质中螺位错的非局部场结果.

In this paper,an exact solution of non-local stresses is given for ascrew dislocation with a hole,and the force on the screw dislocation dueto free surface of the hole is obtained.All classical singularities areeliminated.The maximum force on the dislocation exists near the freesurface of the hole.Estimates are provided for the theoretical stress andfor the maximum force.Finally,the critical radius Re of the hole for themaximum force is discussed.When R→0,our results return to that ofthe screw dislocation of an infinite medium in non-local elasticity.