Physically motivated models of polymer networks with dynamic cross-links: comparative study and future outlook
Physically motivated models of polymer networks with dynamic cross-links: comparative study and future outlook
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DOI：
10.1098/rspa.2021.0608
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发表时间：
2021-11-24
影响因子：
3.5
通讯作者：
Vernerey，Franck J.
中科院分区：
文献类型：
--
作者：
Hui，Chung-Yuen;Cui，Fan;Vernerey，Franck J.
众所周知，由化学和物理交联混合物组成的聚合物网络由于键缔合和解离的动力学而表现出复杂的时间依赖性行为。在本文中，我们重点介绍并比较了两个最近的基于物理的本构模型，这些模型描述了此类瞬态网络的非线性粘弹性行为。这两个模型是由两组研究人员使用不同的数学公式独立开发的。在这里，我们表明这种差异可以归因于不同的观点：拉格朗日与欧拉。在链服从高斯统计和稳态键动力学的特殊情况下，我们建立了两个模型的等价性。我们提供的实验数据表明，两种模型都可以准确预测聚（乙烯醇）双交联水凝胶的时间依赖性单轴行为。我们回顾了这两种方法在应用中的优点和缺点，并通过讨论有关软粘弹性网络数学建模的一系列开放挑战和问题来结束。
Polymer networks consisting of a mixture of chemical and physical cross-links are known to exhibit complex time-dependent behaviour due to the kinetics of bond association and dissociation. In this article, we highlight and compare two recent physically based constitutive models that describe the nonlinear viscoelastic behaviour of such transient networks. These two models are developed independently by two groups of researchers using different mathematical formulations. Here, we show that this difference can be attributed to different viewpoints: Lagrangian versus Eulerian. We establish the equivalence of the two models under the special situation where chains obey Gaussian statistics and steady-state bond dynamics. We provide experimental data demonstrating that both models can accurately predict the time-dependent uniaxial behaviour of a poly(vinylalcohol) dual cross-link hydrogel. We review the advantages and disadvantages of both approaches in applications and close by discussing a list of open challenges and questions regarding the mathematical modelling of soft, viscoelastic networks.