An ordinary state-based peridynamic elastoplastic 2D model consistent with J2 plasticity
An ordinary state-based peridynamic elastoplastic 2D model consistent with J2 plasticity
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DOI：
10.1016/j.ijsolstr.2021.111146
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发表时间：
2020-10
期刊：
影响因子：
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通讯作者：
F. Mousavi;S. Jafarzadeh;F. Bobaru
中科院分区：
文献类型：
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作者：
F. Mousavi;S. Jafarzadeh;F. Bobaru
提出了一种新的基于普通状态的二维周波模型（OSB-PD），该模型采用了一种新的力和拉伸状态分解方法。介绍了一种新的策略，用于测试的一致性的OSB-PD制定的弹塑性。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。两个率无关的屈服函数相当于J2塑性与相关的流动规则制定力状态和应变能密度的基础上。提出了一种求解塑性力学循环方程组的高效返回映射算法。该模型与Abaqus的经典配方使用两个例子，一个具有大旋转下的塑性变形得到的结果进行验证。新模型计算的塑性区的演变与Abaqus计算的经典模型相匹配。用一个简单的损伤模型，一个示范性的平面应力剪切局部化和完全破裂的例子捕捉到相同的破坏机制实验观察到的：一个初始的几乎对称的剪切带，演变成一个单一的，主要的剪切带，然后完全破裂。
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.