Parametric dislocation dynamics and boundary element modeling of elastic interaction between dislocations and precipitates

This paper introduces a computational method for studies of the interaction between dislocations and precipitates. The method is based on 3-dimensional parametric dislocation dynamics and boundary and volume element method. The accuracy of the method is examined with the comparison with a Molecular Dynamics (MD) simulation result. The comparison shows that the method has a good accuracy and consistency with the MD simulations. The method is used to investigate the influences of precipitate geometry and the ratio of precipitate-to-matrix elastic shear modulus on the critical resolved shear stress (CSS). Finally an extension of the method to incorporate the dislocation core contribution to the dislocation-precipitate interaction is discussed.