Abstract Polymethyl-methacrylate (PMMA) has a strong rate-dependency and visco-elastic constitutive characteristics under dynamic conditions. To describe the dynamic characteristics of PMMA with peridynamics, some basic concepts of dynamic viscoelasticity from the local theory are introduced. In particular, a reformulated rate-dependent visco-elastic peridynamic model is proposed, in which the rate and viscous effects, as well as the rate-sensitivity of damage evolution, are reflected. To verify the proposed model for PMMA failure, two examples, a creep-recovery test under quasi-static conditions, as well as a dynamic test of a bar under different strain rates, are investigated. Further, the proposed model is employed to simulate several typical PMMA impact examples: a falling-weight impact test and a bird strike test. The results show reasonable agreements with experimental tests. The comparison of experimental and numerical results indicates that the proposed peridynamic model has the capability of capturing the dynamic response of PMMA under impacting loads.

中文翻译：

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具有近场动力学的 PMMA 动态变形和断裂的重新制定的速率相关粘弹性模型

摘要 聚甲基丙烯酸甲酯（PMMA）在动态条件下具有很强的速率依赖性和粘弹性本构特性。为了用近场动力学描述PMMA的动态特性，介绍了局部理论中动态粘弹性的一些基本概念。特别是，提出了一种重新制定的速率相关粘弹性近场动力学模型，其中反映了速率和粘性效应，以及损伤演化的速率敏感性。为了验证所提出的 PMMA 失效模型，研究了两个示例，准静态条件下的蠕变恢复测试以及不同应变率下的钢筋动态测试。此外，所提出的模型用于模拟几个典型的 PMMA 冲击示例：落锤冲击试验和鸟击试验。结果显示出与实验测试的合理一致。实验和数值结果的比较表明，所提出的近场动力学模型能够捕捉冲击载荷下 PMMA 的动态响应。