, 2018 We present a new rheological model depending on a real parameter $\nu \in [0,1]$ that reduces to the Maxwell body for $\nu=0$ and to the Becker body for $\nu=1$.
Mainardi, Francesco +2 more
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Development of three dimensional constitutive theories based on lower dimensional experimental data [PDF]
, 2009 Most three dimensional constitutive relations that have been developed to describe the behavior of bodies are correlated against one dimensional and two dimensional experiments.
A. E. Green +18 more
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A generalization of the Lomnitz logarithmic creep law via Hadamard fractional calculus
, 2017 We present a new approach based on linear integro-differential operators with logarithmic kernel related to the Hadamard fractional calculus in order to generalize, by a parameter $\nu \in (0,1]$, the logarithmic creep law known in rheology as Lomnitz ...
Garra, Roberto +2 more
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Invariant Measures for Dissipative Dynamical Systems: Abstract Results and Applications [PDF]
, 2012 In this work we study certain invariant measures that can be associated to the time averaged observation of a broad class of dissipative semigroups via the notion of a generalized Banach limit.
Chekroun, Micka ël D. +1 more
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On Maxwell fluid with relaxation time and viscosity depending on the pressure
, 2010 We study a variant of the well known Maxwell model for viscoelastic fluids, namely we consider the Maxwell fluid with viscosity and relaxation time depending on the pressure.
Amos +27 more
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Mathematical existence results for the Doi-Edwards polymer model [PDF]
, 2015 In this paper, we present some mathematical results on the Doi-Edwards model describing the dynamics of flexible polymers in melts and concentrated solutions.
Chupin, Laurent
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The fully-implicit log-conformation formulation and its application to three-dimensional flows
, 2015 The stable and efficient numerical simulation of viscoelastic flows has been a constant struggle due to the High Weissenberg Number Problem. While the stability for macroscopic descriptions could be greatly enhanced by the log-conformation method as ...
Knechtges, Philipp
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Numerical analysis of a stabilized finite element approximation for the three-field linearized viscoelastic fluid problem using arbitrary interpolations [PDF]
, 2016 The original publication is available at www.esaimm2an.org.In this paper we present the numerical analysis of a three-field stabilized finite element formulation recently proposed to approximate viscoelastic flows. The three-field viscoelastic fluid flow
Castillo del Barrio, Ernesto +1 more
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Incompressible limit for the compressible viscoelastic fluids in critical space
Advances in Nonlinear AnalysisIn this article, we consider the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the compressible viscoelastic fluids in the sense of critical Besov framework. We decouple our compressible system into two
Han Bin, Wu Dan
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Two shallow-water type models for viscoelastic flows from kinetic theory for polymers solutions [PDF]
, 2013 In this work, depending on the relation between the Deborah, the Reynolds and the aspect ratio numbers, we formally derived shallow-water type systems starting from a micro-macro description for non-Newtonian fluids in a thin domain governed by an ...
Bresch, Didier, Narbona Reina, Gladys
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