Criteria for extensional necking instability in complex fluids and soft solids. Part I: Imposed Hencky strain rate protocol

Criteria for extensional necking instability in complex fluids and soft solids. Part I: Imposed Hencky strain rate protocol
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复杂流体和软固体中拉伸颈缩不稳定性的标准。

DOI:
10.1122/1.4965036
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发表时间:
2016
影响因子:
3.3
通讯作者:
S. Fielding
S. Fielding
中科院分区:
工程技术2区
文献类型:
--
作者:
D. M. Hoyle;S. Fielding

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我们通过线性稳定性分析和非线性(细长丝)模拟,从理论上研究了复杂流体或软固体细丝在恒定施加的亨基应变率 ϵ 下单轴拉伸拉伸中的颈缩动力学。我们证明颈缩是一种内在的流动不稳定性,它是基本上任何材料的本构行为的不可避免的结果(除了我们概述的可能罕见的例外),无论实验条件如何仔细控制。我们得出了颈缩开始的标准,该标准可以简单地根据实验测量的流变响应函数形状的特征特征进行报告,因此应该普遍适用于所有材料。作为其普遍性的证据,我们展示了它们在六种流行的本构模型中的数值成立:聚合物流体的 Oldroyd B、Giesekus、FENE-CR、Rolie-Poly 和 Pom-pom 模型,以及软玻璃材料的流动性模型。两种不同的颈部模式...
We study theoretically the necking dynamics of a filament of complex fluid or soft solid in uniaxial tensile stretching at constant imposed Hencky strain rate ϵ , by means of linear stability analysis and nonlinear (slender filament) simulations. We demonstrate necking to be an intrinsic flow instability that arises as an inevitable consequence of the constitutive behavior of essentially any material (with a possible rare exception, which we outline), however carefully controlled the experimental conditions. We derive criteria for the onset of necking that are reportable simply in terms of characteristic signatures in the shapes of the experimentally measured rheological response functions, and should therefore apply universally to all materials. As evidence of their generality, we show them to hold numerically in six popular constitutive models: The Oldroyd B, Giesekus, FENE-CR, Rolie-Poly, and Pom-pom models of polymeric fluids, and a fluidity model of soft glassy materials. Two distinct modes of neck...
DOI: 10.1038/ncomms1119
发表时间: 2010-11-01
影响因子: 16.6
作者:
Smith, M. I.;Besseling, R.;Bertola, V.
通讯作者: Bertola, V.