论文标题
与J2可塑性一致的普通基于状态的Peridyannancig弹性2D模型
An ordinary state-based peridynamic elastoplastic 2D model consistent with J2 plasticity
论文作者
论文摘要
我们在2D中提出了一种新的基于状态的基于状态的动力学模型（OSB-PD），该模型与J2可塑性一致，使用了新型的力和扩展状态分解。引入了测试OSB-PD公式对弹性性的一致性的新策略。与其他类似模型相反，新的Elasto-Plasto OSB-PD模型是客观的，可用于大型旋转。我们根据力状态和应变能密度制定了与J2可塑性相当于J2可塑性的两个速率无关的产量函数。提出了一种在可塑性中使用的有效回报映射算法。我们使用两个示例验证了用Abaqus获得经典配方的结果的模型，一个示例具有大旋转下的塑性变形。使用新模型计算的塑料区域的演变与Abaqus发现的经典模型相匹配。
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.
