Application of the distributed dislocation technique for calculating cyclic crack tip plasticity effects

Abstract

This paper describes a method for modelling cyclic crack tip plasticity effects based on the distributed dislocation technique (DDT). A strip-yield model is utilised to allow for the determination of the crack opening displacement, size of the plastic zones and in the case of a fatigue crack, the wake of plasticity. The DDT can be easily implemented for a wide range of cracked geometries with reliable control over the accuracy and convergence. Thickness effects can also be incorporated through a recently obtained solution for an edge dislocation in an infinite plate of finite thickness. Results for finite length cracks that have had limited growth, such that there is no plastic wake, are presented for a range of applied loads and R-ratios. Further results are provided for a steady-state fatigue crack in a plate of finite thickness. The present results are compared with analytical solutions and they show an excellent agreement.