Nucleation of second-phase near elastic defects in crystalline solids

摘要

The problem of heterogeneous nucleation of second-phase in alloys in the vicinity ofrnelastic defects is considered. The defect can be a dislocation line or a crack tip residing in arncrystalline solid. We use the Ginzburg-Landau equation to describe the spatiotemporal evolutionrnof the order parameter in the environs of the defect. The model accounts for the elasticity of thernsolid and the interaction of order parameter field with the elastic field of the defect. A finiternvolume numerical method is used to solve the governing partial differential equation for thernorder parameter. We examine the nature of the phase transition in the vicinity of the defects.