{"author":[{"first_name":"Daniel M.","full_name":"Sussman, Daniel M.","last_name":"Sussman"},{"last_name":"Goodrich","full_name":"Goodrich, Carl Peter","orcid":"0000-0002-1307-5074","id":"EB352CD2-F68A-11E9-89C5-A432E6697425","first_name":"Carl Peter"},{"first_name":"Andrea J.","last_name":"Liu","full_name":"Liu, Andrea J."}],"citation":{"ista":"Sussman DM, Goodrich CP, Liu AJ. 2016. Spatial structure of states of self stress in jammed systems. Soft Matter. 12(17), 3982–3990.","ama":"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","short":"D.M. Sussman, C.P. Goodrich, A.J. Liu, Soft Matter 12 (2016) 3982–3990.","chicago":"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.","apa":"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","mla":"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.","ieee":"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."},"intvolume":" 12","issue":"17","doi":"10.1039/c6sm00094k","page":"3982-3990","quality_controlled":"1","date_updated":"2021-01-12T08:15:22Z","related_material":{"link":[{"url":"https://doi.org/10.1039/c6sm02496c","relation":"other"}]},"abstract":[{"lang":"eng","text":"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."}],"_id":"7764","publication":"Soft Matter","month":"03","year":"2016","volume":12,"type":"journal_article","publisher":"Royal Society of Chemistry","day":"14","publication_identifier":{"issn":["1744-683X","1744-6848"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","article_type":"original","date_created":"2020-04-30T11:40:56Z","language":[{"iso":"eng"}],"oa_version":"None","date_published":"2016-03-14T00:00:00Z","extern":"1","publication_status":"published","title":"Spatial structure of states of self stress in jammed systems","status":"public"}