A Nonlocal Model for Dislocations with Embedded Discontinuity Peridynamics

Abstract We develop a novel nonlocal model of dislocations based on the framework peridynamics. By embedding interior discontinuities into constitutive law, displacement jump in Volterra dislocation is reproduced, intrinsic singularities classical elasticity are regularized, and surface effect previous peridynamics models avoided. The extended embedded discontinuity overcomes unphysical dissipation treating still easy to be solved with particle-based meshless method. properties proposed compared solutions under case an edge dislocation, double dislocations, screw circular loop. Numerical results show high consistency field while no singularity appears model, interaction force agreement Peach-Koehler formula down core region accuracy can reached 3D limited computational cost. provides feasible tool for multiscale modeling dislocations. Though modeled as pre-defined jump, it straightforward extend method various fracture conditions.