Spatial structure of states of self stress in jammed systems

Sussman DM, Goodrich CP, Liu AJ. 2016. Spatial structure of states of self stress in jammed systems. Soft Matter. 12(17), 3982–3990.

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Journal Article | Published | English
Author
Sussman, Daniel M.; Goodrich, Carl PeterIST Austria ; Liu, Andrea J.
Abstract
States of self stress, organizations of internal forces in many-body systems that are in equilibrium with an absence of external forces, can be thought of as the constitutive building blocks of the elastic response of a material. In overconstrained disordered packings they have a natural mathematical correspondence with the zero-energy vibrational modes in underconstrained systems. While substantial attention in the literature has been paid to diverging length scales associated with zero- and finite-energy vibrational modes in jammed systems, less is known about the spatial structure of the states of self stress. In this work we define a natural way in which a unique state of self stress can be associated with each bond in a disordered spring network derived from a jammed packing, and then investigate the spatial structure of these bond-localized states of self stress. This allows for an understanding of how the elastic properties of a system would change upon changing the strength or even existence of any bond in the system.
Publishing Year
Date Published
2016-03-14
Journal Title
Soft Matter
Volume
12
Issue
17
Page
3982-3990
IST-REx-ID

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Sussman DM, Goodrich CP, Liu AJ. Spatial structure of states of self stress in jammed systems. Soft Matter. 2016;12(17):3982-3990. doi:10.1039/c6sm00094k
Sussman, D. M., Goodrich, C. P., & Liu, A. J. (2016). Spatial structure of states of self stress in jammed systems. Soft Matter. Royal Society of Chemistry. https://doi.org/10.1039/c6sm00094k
Sussman, Daniel M., Carl Peter Goodrich, and Andrea J. Liu. “Spatial Structure of States of Self Stress in Jammed Systems.” Soft Matter. Royal Society of Chemistry, 2016. https://doi.org/10.1039/c6sm00094k.
D. M. Sussman, C. P. Goodrich, and A. J. Liu, “Spatial structure of states of self stress in jammed systems,” Soft Matter, vol. 12, no. 17. Royal Society of Chemistry, pp. 3982–3990, 2016.
Sussman DM, Goodrich CP, Liu AJ. 2016. Spatial structure of states of self stress in jammed systems. Soft Matter. 12(17), 3982–3990.
Sussman, Daniel M., et al. “Spatial Structure of States of Self Stress in Jammed Systems.” Soft Matter, vol. 12, no. 17, Royal Society of Chemistry, 2016, pp. 3982–90, doi:10.1039/c6sm00094k.
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