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Issue 28, 2014
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Breakdown of continuum elasticity in amorphous solids

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Abstract

We show numerically that the response of simple amorphous solids (elastic networks and particle packings) to a local force dipole is characterized by a lengthscale lc that diverges as unjamming is approached as lc ∼ (z − 2d)−1/2, where z ≥ 2d is the mean coordination, and d is the spatial dimension, at odds with previous numerical claims. We also show how the magnitude of the lengthscale lc is amplified by the presence of internal stresses in the disordered solid. Our data suggests a divergence of lc ∼ (pcp)−1/4 with proximity to a critical internal stress pc at which soft elastic modes become unstable.

Graphical abstract: Breakdown of continuum elasticity in amorphous solids

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Article information


Submitted
09 Feb 2014
Accepted
09 May 2014
First published
16 May 2014

Soft Matter, 2014,10, 5085-5092
Article type
Paper

Breakdown of continuum elasticity in amorphous solids

E. Lerner, E. DeGiuli, G. Düring and M. Wyart, Soft Matter, 2014, 10, 5085
DOI: 10.1039/C4SM00311J

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