We present an ordinary state-based peridynamic model in 2D and 3D consistent with rate-independent J2 plasticity with associated flow rule. The new contribution is the capability of the elastoplastic law to describe isotropic, kinematic and mixed hardening. The hardening formulations follow those available in the literature for classical elastoplasticity. The comparison between the results obtained with the peridynamic model and those obtained with a commercial FEM software shows that the two approaches are in good agreement. The extent of the plastic regions and von Mises stress computed with the new model for 2D and 3D examples match well those obtained with FEM-based solutions using ANSYS.

我们提出了一个普通的基于状态的 2D 和 3D 近场动力学模型，与速率无关的 J2 塑性和相关的流动规则一致。新的贡献是弹塑性定律能够描述各向同性、运动学和混合硬化。硬化公式遵循经典弹塑性文献中的公式。通过近场动力学模型获得的结果与商业有限元软件获得的结果之间的比较表明，两种方法非常一致。使用 2D 和 3D 示例的新模型计算出的塑性区域范围和 von Mises 应力与使用 ANSYS 基于 FEM 的解决方案获得的结果非常匹配。