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In the present work, we propose a novel model coupling phase-field,dislocation density based plasticity and damage. The dislocation densitygoverning equations are constructed based on evolutions of mobile and immobiledislocations. Mechanisms including dislocation multiplication, annihilation,mobile-immobile transfer due to dislocation interactions and block ofinterfaces are incorporated in the model. Especially, the "swallow-gap" problemsurrounding the coarsened second phase, which often appears in dislocation andphase-field coupled simulations, is solved in the present model. Moreover, thephenomenon of dislocation cutting into the second phase during tertiary creep,which has rarely been considered in previous phase-field simulations of singlecrystal superalloys, is successfully captured in the present model with thecoupling of damage. The long range stresses induced by external loading,coherent interface misfit, plastic activity and damage, as well as the shortrange stresses induced by antiphase boundary, dislocation line tension andforest dislocation trapping are considered in the dynamics of the model. Hightemperature $\langle 001 \rangle$ creep simulations of single crystalsuperalloys under 200 MPa and 350 MPa are conducted using the coupled model andcompared with experiments. The results show that simulated phasemicrostructures, dislocations and creep properties principally agree withexperiments during the whole creep stage, in terms of both microscopic andmacroscopic features.

Phase-field, dislocation based plasticity and damage coupled model: modelling and application to single crystal superalloys