A strain stiffening theory for transient polymer networks under asymptotically nonlinear oscillatory shear

A strain stiffening theory for transient polymer networks under asymptotically nonlinear oscillatory shear
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渐进非线性振荡剪切下瞬态聚合物网络的应变硬化理论

DOI:
10.1122/1.4979368
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发表时间:
2017
影响因子:
3.3
通讯作者:
R. Ewoldt
R. Ewoldt
中科院分区:
工程技术2区
文献类型:
--
作者:
N. A. Bharadwaj;K. Schweizer;R. Ewoldt

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我们构建了一个基于微观结构的本构模型,该模型成功预测了之前没有其他模型描述过的实验流变特征。实验观察是渐近非线性振荡剪切的低维描述 [Ewoldt 和 Bharadwaj, Rheol。 Acta 52, 201–209 (2013)],也称为中振幅振荡剪切,其特征在于四种频率相关的材料测量:[e1](ω)、[e3](ω)、[v1](ω) 和 [v3](ω)。这些略微非线性的流变测量是超越线性粘弹性表征的系统步骤。该材料是由四硼酸钠(硼砂)交联的含水聚乙烯醇的瞬时交联聚合水凝胶[Bharadwaj 和 Ewoldt,J. Rheol。 59, 557–592 (2015)],它显示了从 [e1](ω) > 0 推断出的非线性弹性刚化。在这里,我们假设适当的物理模型是应变强化弹性单元的瞬态网络。我们合理化认为所有非线性都是驱动的......
We construct a microstructure-based constitutive model that successfully predicts experimental rheology signatures that no other model has previously described. The experimental observations are the low-dimensional descriptions of asymptotically nonlinear oscillatory shear [Ewoldt and Bharadwaj, Rheol. Acta 52, 201–209 (2013)], also known as medium-amplitude oscillatory shear, characterized by four frequency-dependent material measures: [e1](ω), [e3](ω), [v1](ω) and [v3](ω). These slightly nonlinear rheological measurements are the systematic step beyond linear viscoelastic characterization. The material is a transiently crosslinked polymeric hydrogel of aqueous polyvinyl alcohol cross-linked by sodium tetraborate (borax) [Bharadwaj and Ewoldt, J. Rheol. 59, 557–592 (2015)], which shows nonlinear elastic stiffening inferred from [e1](ω) > 0. Here, we hypothesize that the appropriate physical model is a transient network of strain-stiffening elastic elements. We rationalize that all nonlinearities are driv...
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