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...
Main Authors: | , |
---|---|
Other Authors: | |
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 |