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

TL;DR

This paper introduces a novel 2D peridynamic elastoplastic model aligned with J2 plasticity, capable of handling large rotations and validated against classical finite element results.

Contribution

The paper develops a new objective, large-rotation-capable peridynamic elastoplastic model consistent with J2 plasticity, including a novel testing strategy and an efficient return mapping algorithm.

Findings

Model accurately predicts plastic deformation and zone evolution.

Matches classical Abaqus results for large rotation scenarios.

Objective formulation suitable for large deformation analysis.

Abstract

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.