A Transient Microsphere Model for Nonlinear Viscoelasticity in Dynamic Polymer Networks
A Transient Microsphere Model for Nonlinear Viscoelasticity in Dynamic Polymer Networks
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DOI：
10.1115/1.4052375
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发表时间：
2021-10
期刊：
影响因子：
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通讯作者：
Samuel C Lamont;F. Vernerey
中科院分区：
文献类型：
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作者：
Samuel C Lamont;F. Vernerey
聚合物体系中粘弹性材料的行为很大程度上源于网络水平上的动态拓扑重排。在本文中，我们提出了一个物理驱动的微球公式来模拟瞬态聚合物网络的力学。瞬态微球模型（TMM）遵循链向和局部链拉伸的方向统计，是完全各向异性的微力学模型。使用Fokker-Planck方程跟踪整个变形过程中的网络进化，该方程结合了对链级环境敏感的键创建和删除的影响。使用已发表的数据，我们证明了该模型可以捕获在物理聚合物中观察到的各种材料响应。
Viscoelastic material behavior in polymer systems largely arises from dynamic topological rearrangement at the network level. In this paper, we present a physically motivated microsphere formulation for modeling the mechanics of transient polymer networks. By following the directional statistics of chain alignment and local chain stretch, the transient microsphere model (TMM) is fully anisotropic and micro-mechanically based. Network evolution is tracked throughout deformation using a Fokker–Planck equation that incorporates the effects of bond creation and deletion at rates that are sensitive to the chain-level environment. Using published data, we demonstrate the model to capture various material responses observed in physical polymers.