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We present a new ordinary state-based peridynamic model (OSB-PD) in 2Dconsistent with J2 plasticity using a novel decomposition for force andextension states. A new strategy for testing the consistency of an OSB-PDformulation for elastoplasticity is introduced. In contrast with other similarmodels, the new elasto-plastic OSB-PD model is objective and works for largerotations. We formulate two rate-independent yield functions equivalent to J2plasticity with associated flow rules, based on force states and on the strainenergy density. An efficient return mapping algorithm for peridynamicformulations in plasticity is proposed. We verify the model against resultsobtained with Abaqus for the classical formulation using two examples, onefeaturing plastic deformations under large rotations. The evolution of theplastic zone computed with the new model matches that from the classical modelfound with Abaqus.

An ordinary state-based peridynamic elastoplastic 2D model consistent with J2 plasticity