Linking microscopic and macroscopic response in disordered solids

Physical Review. E
Daniel HexnerSidney R Nagel

Abstract

The modulus of a rigid network of harmonic springs depends on the sum of the energies in each of the bonds due to an applied distortion such as compression in the case of the bulk modulus or shear in the case of the shear modulus. However, the distortion need not be global. Here we introduce a local modulus, L_{i}, associated with changing the equilibrium length of a single bond, i, in the network. We show that L_{i} is useful for understanding many aspects of the mechanical response of the entire system. It allows an efficient computation of how the removal of any bond changes the global properties such as the bulk and shear moduli. Furthermore, it allows a prediction of the distribution of these changes and clarifies why the changes of these two moduli due to removal of a bond are uncorrelated; these are the essential ingredients necessary for the efficient manipulation of network properties by bond removal.

References

Dec 25, 1995·Physical Review Letters·D J Durian
May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Leonardo E SilbertSidney R Nagel
Oct 2, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michel TsamadosJean-Louis Barrat
Oct 11, 2011·Physical Review Letters·M L Manning, A J Liu
Sep 26, 2012·Physical Review Letters·Carl P GoodrichSidney R Nagel
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hideyuki MizunoJean-Louis Barrat
Apr 25, 2014·Nature Communications·Patrick CharbonneauFrancesco Zamponi
Jun 7, 2014·Soft Matter·Edan LernerMatthieu Wyart
Sep 13, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carl P GoodrichSidney R Nagel
Apr 11, 2015·Physical Review Letters·Patrick CharbonneauFrancesco Zamponi
Jun 27, 2015·Reports on Progress in Physics·T C LubenskyKai Sun
Mar 22, 2016·Soft Matter·Daniel M SussmanAndrea J Liu
Sep 14, 2016·Proceedings of the National Academy of Sciences of the United States of America·Michelle M DriscollVincenzo Vitelli

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Citations

Feb 1, 2018·Proceedings of the National Academy of Sciences of the United States of America·Daniel R ReidJuan J de Pablo
Oct 3, 2019·Soft Matter·Daniel R ReidJuan J de Pablo
Jul 22, 2020·Physical Review. E·Danilo B LiarteT C Lubensky
Aug 19, 2018·The European Physical Journal. E, Soft Matter·Edan Lerner
Feb 18, 2020·Science Advances·Nidhi PashineSidney R Nagel

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