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Issue 8, 2017
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Comment on “Spatial structure of states of self stress in jammed systems” by D. M. Sussman, C. P. Goodrich, and A. J. Liu, Soft Matter, 2016, 12, 3982

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Abstract

Sussman, Goodrich and Liu recently introduced a novel definition of states of self stress in packing-derived networks, and reported that the lengthscale that characterizes these states depends on the network connectivity z and spatial dimension đ as (z − 2đ)−0.8 in two dimensions, and as (z − 2đ)−0.6 in three dimensions. Here we derive an explicit expression for these particular states of self stress, and show that they are equivalent to the force response to a local dipolar force in random networks of relaxed Hookean springs, previously shown to be characterized by the lengthscale lc ∼ (z − 2đ)−1/2. We conclude that the systems studied by Sussman et al. are insufficient in size to observe the correct scaling with connectivity of the characteristic lengthscale of states of self stress.

Graphical abstract: Comment on “Spatial structure of states of self stress in jammed systems” by D. M. Sussman, C. P. Goodrich, and A. J. Liu, Soft Matter, 2016, 12, 3982

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Article information


Submitted
12 May 2016
Accepted
12 Jan 2017
First published
23 Jan 2017

Soft Matter, 2017,13, 1530-1531
Article type
Comment

Comment on “Spatial structure of states of self stress in jammed systems” by D. M. Sussman, C. P. Goodrich, and A. J. Liu, Soft Matter, 2016, 12, 3982

E. Lerner, Soft Matter, 2017, 13, 1530
DOI: 10.1039/C6SM01111J

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