Non-affine response: jammed packings vs. spring networks

W.G. Ellenbroek, Z. Zeravcic, W. van Saarloos, M. van Hecke

Research output: Contribution to journalArticleAcademicpeer-review

97 Citations (Scopus)


We compare the elastic response of spring networks whose contact geometry is derived from real packings of frictionless discs, to networks obtained by randomly cutting bonds in a highly connected network derived from a well-compressed packing. We find that the shear response of packing-derived networks, and both the shear and compression response of randomly cut networks, are all similar: the elastic moduli vanish linearly near jamming, and distributions characterizing the local geometry of the response scale with distance to jamming. Compression of packing-derived networks is exceptional: The elastic modulus remains constant and the geometrical distributions do not exhibit simple scaling. We conclude that the compression response of jammed packings is anomalous, rather than the shear response.

Original languageEnglish
Article number34004
Number of pages6
Issue number3
Publication statusPublished - 1 Aug 2009
Externally publishedYes


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