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
中科院分区:
文献类型:
--
作者:
D. M. Hoyle;S. Fielding
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...
影响因子:
16.6
作者:
Smith, M. I.;Besseling, R.;Bertola, V.
通讯作者:
Bertola, V.