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The discrete dislocation plasticity in crystals is investigated by Discrete Dislocation Dynamics(DDD)and micro-scale continuum crystal plasticity theory,respectively,in this work.In the DDD modeling,a unified computational model which directly combines 3D DDD and Finite Element Method(FEM)is developed to investigate the discrete dislocation plasticity in a finite crystal.In this model,1)an initial internal stress field is introduced to represent the preexisting stationary dislocations in the crystal; 2)the external boundary condition is handled by finite element method spontaneously; 3)the constitutive relationship is based on the finite deformation theory of crystal plasticity,but the discrete plastic strains induced by the slip of dislocations are calculated by dislocation dynamics methodology instead of phenomenological constitutive equations used in conventional crystal plasticity.