The problem of diffusion controlled edge dislocation climb in a cylinder subjected to a biaxial stress state is solved using a finite element method of numerical analysis. The elastic interaction between the vacancy and the dislocation, which depends on both the r and θ coordinates about the dislocation, is included in the analysis. Both transient and steady-state vacancy concentration profiles are calculated. The steady-state climb rate calculated numerically for the case of no interaction is very close to that predicted by an approximate analytical treatment for that same case. The dislocation climbs 30% faster when the dislocation-vacancy interaction is included in the analysis. This enhancement is about three times greater than that predicted by an approximate treatment of the interaction effect given in the literature.
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Burke et al. (1978) studied this question.
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