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Nonlinear Viscoelasticity and Generalized Failure Criterion for Polymer Gels

TitleNonlinear Viscoelasticity and Generalized Failure Criterion for Polymer Gels
Publication TypeJournal Article
Year of Publication2017
AuthorsKeshavarz B, Divoux T, Manneville S, McKinley GH
JournalACS Macro Letters
Volume6
Issue7
Pagination663 - 667
Date PublishedJun-12--2017
ISSN2161-1653
Abstract

Polymer gels behave as soft viscoelastic solids and exhibit a generic nonlinear mechanical response characterized by pronounced stiffening prior to irreversible failure, most often through macroscopic fractures. Here, we describe this scenario for a model protein gel using an integral constitutive equation built upon the linear and the nonlinear viscoelastic properties of the gel. We show that this formalism predicts quantitatively the gel mechanical response in shear start-up experiments, up to the onset of macroscopic failure. Moreover, we couple the computed stress response with Bailey's durability criterion for brittle solids in order to predict the critical values of the stress sigma(c) and strain gamma(c) at failure. The excellent agreement between theory and experiments suggests that failure in this soft viscoelastic gel is a Markovian process and that Bailey's failure criterion extends beyond hard materials such as metals, glasses, or minerals.

URLhttp://pubs.acs.org/doi/10.1021/acsmacrolett.7b00213
DOI10.1021/acsmacrolett.7b00213
Short TitleACS Macro Lett.
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