General Aspects of Yield Stress Fluids – Terminology and Definition of Viscosity

This work contributes to general theoretical aspects of yield stress fluids with significance for practical phenomenological material modeling. It introduces a terminology so that the material class ‘yield stress fluid’ is defined and can be distinguished from the terms ‘solid’ and ‘liquid’. This ne...

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Main Authors: Boisly Martin, Kästner Markus, Brummund Jörg, Ulbricht Volker
Format: Article
Language:English
Published: De Gruyter 2014-02-01
Series:Applied Rheology
Subjects:
Online Access:https://doi.org/10.3933/applrheol-24-14578
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author Boisly Martin
Kästner Markus
Brummund Jörg
Ulbricht Volker
author_facet Boisly Martin
Kästner Markus
Brummund Jörg
Ulbricht Volker
author_sort Boisly Martin
collection DOAJ
description This work contributes to general theoretical aspects of yield stress fluids with significance for practical phenomenological material modeling. It introduces a terminology so that the material class ‘yield stress fluid’ is defined and can be distinguished from the terms ‘solid’ and ‘liquid’. This new material classification is based on two criteria, the equilibrium relation and the flow function. In line with this terminology, an experimental procedure for classifying the material behavior is presented. The second key aspect of this paper is a discussion on the proper definition of the term ‘viscosity’. The benefit of the differential viscosity over the dynamic viscosity in case of non-Newtonian fluids in general is worked out. This is shown by the most elementary yield stress fluid, the friction element, because it is the basis of the yield stress concept. Its constitutive equations are given for positive as well as negative strain rates and are also able to represent the preyield behavior. The theory presented in this article is also applied to the Maxwell, Kelvin-Voigt, and Bingham element to demonstrate the working principle.
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spelling doaj.art-d7ce0978c6fd41c4b48d9854d70c95f62022-12-21T19:17:03ZengDe GruyterApplied Rheology1617-81062014-02-01241263610.3933/applrheol-24-14578General Aspects of Yield Stress Fluids – Terminology and Definition of ViscosityBoisly Martin0Kästner Markus1Brummund Jörg2Ulbricht Volker3Institute of Solid Mechanics, Technische Universität Dresden, George-Bähr-Str. 3c,Dresden, GemanyInstitute of Solid Mechanics, Technische Universität Dresden, George-Bähr-Str. 3c,Dresden, GemanyInstitute of Solid Mechanics, Technische Universität Dresden, George-Bähr-Str. 3c,Dresden, GemanyInstitute of Solid Mechanics, Technische Universität Dresden, George-Bähr-Str. 3c,Dresden, GemanyThis work contributes to general theoretical aspects of yield stress fluids with significance for practical phenomenological material modeling. It introduces a terminology so that the material class ‘yield stress fluid’ is defined and can be distinguished from the terms ‘solid’ and ‘liquid’. This new material classification is based on two criteria, the equilibrium relation and the flow function. In line with this terminology, an experimental procedure for classifying the material behavior is presented. The second key aspect of this paper is a discussion on the proper definition of the term ‘viscosity’. The benefit of the differential viscosity over the dynamic viscosity in case of non-Newtonian fluids in general is worked out. This is shown by the most elementary yield stress fluid, the friction element, because it is the basis of the yield stress concept. Its constitutive equations are given for positive as well as negative strain rates and are also able to represent the preyield behavior. The theory presented in this article is also applied to the Maxwell, Kelvin-Voigt, and Bingham element to demonstrate the working principle.https://doi.org/10.3933/applrheol-24-14578yield stress fluiddifferential viscosityapparent viscosityequilibrium stressfriction elementbingham element
spellingShingle Boisly Martin
Kästner Markus
Brummund Jörg
Ulbricht Volker
General Aspects of Yield Stress Fluids – Terminology and Definition of Viscosity
Applied Rheology
yield stress fluid
differential viscosity
apparent viscosity
equilibrium stress
friction element
bingham element
title General Aspects of Yield Stress Fluids – Terminology and Definition of Viscosity
title_full General Aspects of Yield Stress Fluids – Terminology and Definition of Viscosity
title_fullStr General Aspects of Yield Stress Fluids – Terminology and Definition of Viscosity
title_full_unstemmed General Aspects of Yield Stress Fluids – Terminology and Definition of Viscosity
title_short General Aspects of Yield Stress Fluids – Terminology and Definition of Viscosity
title_sort general aspects of yield stress fluids terminology and definition of viscosity
topic yield stress fluid
differential viscosity
apparent viscosity
equilibrium stress
friction element
bingham element
url https://doi.org/10.3933/applrheol-24-14578
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