  We present a new ordinary state-based peridynamic model (OSB-PD) in 2D
consistent with J2 plasticity using a novel decomposition for force and
extension states. A new strategy for testing the consistency of an OSB-PD
formulation for elastoplasticity is introduced. In contrast with other similar
models, the new elasto-plastic OSB-PD model is objective and works for large
rotations. We formulate two rate-independent yield functions equivalent to J2
plasticity with associated flow rules, based on force states and on the strain
energy density. An efficient return mapping algorithm for peridynamic
formulations in plasticity is proposed. We verify the model against results
obtained with Abaqus for the classical formulation using two examples, one
featuring plastic deformations under large rotations. The evolution of the
plastic zone computed with the new model matches that from the classical model
found with Abaqus.
