A canonical framework for modeling elasto-viscoplasticity in complex fluids

A comprehensive framework for modeling elasto-viscoplasticity in complex fluids is discussed. It is based on the plasticity mechanism of kinematic hardening, which is widely accepted in solid mechanics and accounts for transient yielding processes. We discuss a simple one dimensional variant of the...

Full description

Bibliographic Details
Main Authors: Dimitriou, Christopher J, McKinley, Gareth H
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:English
Published: Elsevier BV 2021
Online Access:https://hdl.handle.net/1721.1/129784
_version_ 1811083636883062784
author Dimitriou, Christopher J
McKinley, Gareth H
author2 Massachusetts Institute of Technology. Department of Mechanical Engineering
author_facet Massachusetts Institute of Technology. Department of Mechanical Engineering
Dimitriou, Christopher J
McKinley, Gareth H
author_sort Dimitriou, Christopher J
collection MIT
description A comprehensive framework for modeling elasto-viscoplasticity in complex fluids is discussed. It is based on the plasticity mechanism of kinematic hardening, which is widely accepted in solid mechanics and accounts for transient yielding processes. We discuss a simple one dimensional variant of the model, as well as a fully three-dimensional, frame-invariant and thermodynamically admissible version of the model. Predictions for several canonical rheometric test protocols are provided. We also discuss possible extensions to account for additional rheological complexities exhibited by real fluids, such as thixotropy, nonlinear elasticity and normal stress differences. We find that this framework has several advantages over the more commonly used elastic Bingham-like or elastic Herschel Bulkley models for describing elasto-viscoplasticity. First, the model can account for behavior over a much wider range of viscometric test conditions. Second, it eliminates the flow/no flow criterion inherent in Bingham-like constitutive laws, which frequently requires regularization. Third, it is a flexible framework and allows for implementation of additional complexities, including thixotropic behavior and other nonlinear rheological features.
first_indexed 2024-09-23T12:36:20Z
format Article
id mit-1721.1/129784
institution Massachusetts Institute of Technology
language English
last_indexed 2024-09-23T12:36:20Z
publishDate 2021
publisher Elsevier BV
record_format dspace
spelling mit-1721.1/1297842024-02-21T20:59:28Z A canonical framework for modeling elasto-viscoplasticity in complex fluids Dimitriou, Christopher J McKinley, Gareth H Massachusetts Institute of Technology. Department of Mechanical Engineering A comprehensive framework for modeling elasto-viscoplasticity in complex fluids is discussed. It is based on the plasticity mechanism of kinematic hardening, which is widely accepted in solid mechanics and accounts for transient yielding processes. We discuss a simple one dimensional variant of the model, as well as a fully three-dimensional, frame-invariant and thermodynamically admissible version of the model. Predictions for several canonical rheometric test protocols are provided. We also discuss possible extensions to account for additional rheological complexities exhibited by real fluids, such as thixotropy, nonlinear elasticity and normal stress differences. We find that this framework has several advantages over the more commonly used elastic Bingham-like or elastic Herschel Bulkley models for describing elasto-viscoplasticity. First, the model can account for behavior over a much wider range of viscometric test conditions. Second, it eliminates the flow/no flow criterion inherent in Bingham-like constitutive laws, which frequently requires regularization. Third, it is a flexible framework and allows for implementation of additional complexities, including thixotropic behavior and other nonlinear rheological features. 2021-02-17T16:21:37Z 2021-02-17T16:21:37Z 2019-03 2020-07-31T12:00:44Z Article http://purl.org/eprint/type/JournalArticle 0377-0257 https://hdl.handle.net/1721.1/129784 Dimitriou, Christopher J. and Gareth H. McKinley. "A canonical framework for modeling elasto-viscoplasticity in complex fluids" Journal of Non-Newtonian Fluid Mechanics 265 (March 2019): 116-132. © 2018 Elsevier B.V. en 10.1016/J.JNNFM.2018.10.004 Journal of Non-Newtonian Fluid Mechanics Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV MIT web domain
spellingShingle Dimitriou, Christopher J
McKinley, Gareth H
A canonical framework for modeling elasto-viscoplasticity in complex fluids
title A canonical framework for modeling elasto-viscoplasticity in complex fluids
title_full A canonical framework for modeling elasto-viscoplasticity in complex fluids
title_fullStr A canonical framework for modeling elasto-viscoplasticity in complex fluids
title_full_unstemmed A canonical framework for modeling elasto-viscoplasticity in complex fluids
title_short A canonical framework for modeling elasto-viscoplasticity in complex fluids
title_sort canonical framework for modeling elasto viscoplasticity in complex fluids
url https://hdl.handle.net/1721.1/129784
work_keys_str_mv AT dimitriouchristopherj acanonicalframeworkformodelingelastoviscoplasticityincomplexfluids
AT mckinleygarethh acanonicalframeworkformodelingelastoviscoplasticityincomplexfluids
AT dimitriouchristopherj canonicalframeworkformodelingelastoviscoplasticityincomplexfluids
AT mckinleygarethh canonicalframeworkformodelingelastoviscoplasticityincomplexfluids