Beyond linear elasticity

Jammed solids at finite shear strain and rate

Journal article (2016)

Authors

J. Boschan Engineering Thermodynamics - Mechanical, Maritime and Materials Engineering
D.L.S. Vagberg Engineering Thermodynamics - Mechanical, Maritime and Materials Engineering
Ellák Somfai Hungarian Academy of Sciences
B.P. Tighe Engineering Thermodynamics - Mechanical, Maritime and Materials Engineering
Research Group
Engineering Thermodynamics (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2016 J. Boschan, D.L.S. Vagberg, Ellák Somfai, B.P. Tighe
DOI
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https://doi.org/10.1039/c6sm00536e
More Info
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Published Date

2016

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Process and Energy

Research Group

Engineering Thermodynamics

Abstract

The shear response of soft solids can be modeled with linear elasticity, provided the forcing is slow and weak. Both of these approximations must break down when the material loses rigidity, such as in foams and emulsions at their (un)jamming point-suggesting that the window of linear elastic response near jamming is exceedingly narrow. Yet precisely when and how this breakdown occurs remains unclear. To answer these questions, we perform computer simulations of stress relaxation and shear start-up tests in athermal soft sphere packings, the canonical model for jamming. By systematically varying the strain amplitude, strain rate, distance to jamming, and system size, we identify characteristic strain and time scales that quantify how and when the window of linear elasticity closes, and relate these scales to changes in the microscopic contact network.