A new ordinary state-based peridynamic model (OSB-PD) in 2D consistent with J2 plasticity using a novel decomposition for force and extension states is presented. A novel 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. Two rate-independent yield functions equivalent to J2 plasticity with associated flow rules are formulated based on force states and on the strain energy density. An efficient return mapping algorithm for peridynamic formulations in plasticity is proposed. The model is verified 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 is found to match that from the classical model computed with Abaqus. With a simple damage model, a demonstrative plane stress example for shear localization and full rupture captures the same failure mechanism as observed experimentally: an initial almost symmetrical shear banding, evolves into a single, predominant shear band, followed by full rupture.

提出了一种新的基于普通状态的近场动力学模型 (OSB-PD) 与 J2 塑性一致的二维模型，该模型使用力和扩展状态的新分解。介绍了一种用于测试 OSB-PD 配方弹塑性一致性的新策略。与其他类似模型相比，新的弹塑性 OSB-PD 模型是客观的，适用于大旋转。两个与速率无关的屈服函数等效于具有相关流动规则的 J2 塑性，基于力状态和应变能密度被公式化。提出了一种用于塑性近场动力学公式的有效返回映射算法。该模型使用两个示例与 Abaqus 为经典公式获得的结果进行了验证，其中一个示例在大旋转下具有塑性变形。发现使用新模型计算的塑性区的演变与使用 Abaqus 计算的经典模型相匹配。使用简单的损伤模型，剪切局部化和完全破裂的示范平面应力示例捕获了与实验观察到的相同的破坏机制：初始几乎对称的剪切带，演变为单个主要剪切带，然后完全破裂。