Modeling Fracture in Rate-Dependent Polymer Networks: A Quasicontinuum Approach
Modeling Fracture in Rate-Dependent Polymer Networks: A Quasicontinuum Approach
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速率相关聚合物网络中的断裂建模：准连续方法
DOI：
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
A. Elbanna
中科院分区：
文献类型：
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作者：
A. Ghareeb;A. Elbanna
橡胶和凝胶等软材料表现出与速率相关的响应，其中刚度、强度和断裂模式在很大程度上取决于加载速率。因此，力学行为的准确建模需要考虑不同的速率依赖来源，如聚合物链的内在粘弹性行为和动态键断裂和形成机制。在这一章中，我们扩展了在Ghareeb和Elbanna(2020)中提出的QC方法，A a Adapting Query-Continuum Approach for Modeling Fracture in NetNetwork Material：Applications to Modeling of Polmer Networks，J.Mech。太棒了。Solids，第137,103819页)，包括聚合物网络的速率依赖行为。我们提出了高分子链中粘性力的均匀化规则，并更新了自适应网格加密算法以考虑动态键断裂。然后，我们使用非线性有限元框架和预估-校正格式来求解节点的位移和速度。我们通过对不同网络结构和负载条件的完全离散模拟来验证该方法的准确性。利用该方法进一步研究了加载速率对具有不同速率相关参数的网络断裂特性的影响。最后，我们讨论了扩展方法对速率相关聚合物网络中裂缝的多尺度分析的意义。
Soft materials, such as rubber and gels, exhibit rate-dependent response where the stiffness, strength, and fracture patterns depend largely on loading rates. Thus, accurate modeling of the mechanical behavior requires accounting for different sources of rate dependence such as the intrinsic viscoelastic behavior of the polymer chains and the dynamic bond breakage and formation mechanism. In this chapter, we extend the QC approach presented in Ghareeb and Elbanna (2020, An Adaptive Quasi-Continuum Approach for Modeling Fracture in Networked Materials: Application to Modeling of Polymer Networks, J. Mech. Phys. Solids, 137, p. 103819) to include rate-dependent behavior of polymer networks. We propose a homogenization rule for the viscous forces in the polymer chains and update the adaptive mesh refinement algorithm to account for dynamic bond breakage. Then, we use nonlinear finite element framework with predictor–corrector scheme to solve for the nodal displacements and velocities. We demonstrate the accuracy of the method by verifying it against fully discrete simulations for different examples of network structures and loading conditions. We further use the method to investigate the effects of the loading rates on the fracture characteristics of networks with different rate-dependent parameters. Finally, We discuss the implications of the extended method for multiscale analysis of fracture in rate-dependent polymer networks.