Breakdown of continuum elasticity in amorphous solids

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.


Published in:
Soft Matter, 10, 28, 5085
Year:
2014
Publisher:
Royal Society of Chemistry
ISSN:
1744-6848
Laboratories:




 Record created 2016-10-18, last modified 2018-03-17


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