Finite Element Model of Arbitrary Inclined Edge Dislocations

Abstract

In considering mechanical behavior of crystals, it is very important to know the elastic incompatible stresses near the dislocation, which plays an important role in elasto-plastic deformation. The authors proposed a finite element model of an edge dislocation, based on the mathematical model of dislocation. In this paper, a finite element model of an arbitrary inclined edge dislocation is proposed by the use of a discrepancy of displacement, and the stresses around an edge dislocation in an infinite region are obtained and compared with exact solutions. In this analysis, opening mode discrepancy of displacement and shear mode discrepancy of displacement are located along the same line, and the corresponding nodal points are connected with each other. Also, the problem with two edge dislocations is treated. The results coincide with exact ones.