Abstract
A phase field model is presented to study dislocation formation (coherency loss) in two-phase binary alloys. In our model the elastic energy density is a periodic function of the shear and tetragonal strains, which allows multiple formation of dislocations. The composition is coupled to the elastic field twofold via lattice misfit and via composition dependence of the elastic moduli. By numerically integrating the dynamic equations in two dimensions, we find that dislocations appear in pairs in the interface region and grow into slips. One end of each slip glides preferentially into the softer region, while the other end remains trapped at the interface. Under uniaxial stretching at deep quenching, slips appear in the softer region and do not penetrate into the harder domains, giving rise to a gradual increase of the stress with increasing applied strain in plastic flow.
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