Munoz Gérald, Dequidt Alain, Martzel Nicolas, Blaak Ronald, Goujon Florent, Devémy Julien, Garruchet Sébastien, Latour Benoit, Munch Etienne, Malfreyt Patrice
Manufacture Française des Pneumatiques Michelin, Site de Ladoux, 23 Place des Carmes Déchaux, France CEDEX 9, 63040 Clermont-Ferrand, France.
Institut de Chimie de Clermont-Ferrand, CNRS, SIGMA Clermont, Université Clermont Auvergne, 63000 Clermont-Ferrand, France.
Polymers (Basel). 2021 Feb 28;13(5):757. doi: 10.3390/polym13050757.
Despite their level of refinement, micro-mechanical, stretch-based and invariant-based models, still fail to capture and describe all aspects of the mechanical properties of polymer networks for which they were developed. This is for an important part caused by the way the microscopic inhomogeneities are treated. The Elastic Network Model (ENM) approach of reintroducing the spatial resolution by considering the network at the level of its topological constraints, is able to predict the macroscopic properties of polymer networks up to the point of failure. We here demonstrate the ability of ENM to highlight the effects of topology and structure on the mechanical properties of polymer networks for which the heterogeneity is characterised by spatial and topological order parameters. We quantify the macro- and microscopic effects on forces and stress caused by introducing and increasing the heterogeneity of the network. We find that significant differences in the mechanical responses arise between networks with a similar topology but different spatial structure at the time of the reticulation, whereas the dispersion of the cross-link valency has a negligible impact.
尽管微机械模型、基于拉伸的模型和基于不变量的模型已经相当精细，但它们仍然无法捕捉和描述聚合物网络机械性能的所有方面，而这些模型正是为描述这些性能而开发的。这在很大程度上是由于微观不均匀性的处理方式所致。通过在拓扑约束层面考虑网络来重新引入空间分辨率的弹性网络模型（ENM）方法，能够预测聚合物网络直至失效点的宏观性能。我们在此展示了ENM突出拓扑结构和结构对聚合物网络机械性能影响的能力，其中网络的异质性由空间和拓扑序参量表征。我们量化了引入和增加网络异质性对力和应力产生影响的宏观和微观效应。我们发现，在网状化时具有相似拓扑结构但不同空间结构的网络之间，机械响应存在显著差异，而交联价的分散影响可忽略不计。
