Nonlinear Viscoelasticity and Generalized Failure Criterion for Polymer Gels
Author(s)Manneville, Sébastien; Keshavarz, Bavand; Divoux, Thibaut Louis Alexandre; McKinley, Gareth H
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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 σc and strain γc 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.
DepartmentMassachusetts Institute of Technology. Department of Civil and Environmental Engineering; Massachusetts Institute of Technology. Department of Mechanical Engineering; MultiScale Materials Science for Energy and Environment, Joint MIT-CNRS Laboratory
ACS Macro Letters
American Chemical Society (ACS)
Keshavarz, Bavand, Thibaut Divoux, Sébastien Manneville, and Gareth H. McKinley. “Nonlinear Viscoelasticity and Generalized Failure Criterion for Polymer Gels.” ACS Macro Letters 6, no. 7 (June 12, 2017): 663–667.
Author's final manuscript