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Abstract
A phase field model is presented to investigate dislocation formation (coherency loss)
and workhardening 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 slips (dislocation dipoles). 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 regions and do not penetrate into the harder
domains, giving rise to an increase of the stress with increasing applied strain in
plastic flow.