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 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
Original language | English (US) |
---|---|
Pages (from-to) | 5085-5092 |
Number of pages | 8 |
Journal | Soft Matter |
Volume | 10 |
Issue number | 28 |
DOIs | |
State | Published - Jul 28 2014 |
ASJC Scopus subject areas
- General Chemistry
- Condensed Matter Physics