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research article
Breakdown of continuum elasticity in amorphous solids
2014
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 c that diverges as unjamming is approached as c ∼ (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 c is amplified by the presence of internal stresses in the disordered solid. Our data suggests a divergence of c ∼ (pc - p)-1/4 with proximity to a critical internal stress pc at which soft elastic modes become unstable. This journal is © the Partner Organisations 2014.
Type
research article
Authors
Publication date
2014
Publisher
Published in
Volume
10
Issue
28
Article Number
5085
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
October 18, 2016
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