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Relations between material mechanical parameters and interparticle potential in amorphous solids

Edan Lerner, Itamar Procaccia, Emily S. C. Ching, and H. G. E Hentschel
Phys. Rev. B 79, 180203(R) – Published 28 May 2009

Abstract

The shear modulus and yield stress of amorphous solids are important material parameters, with the former determining the rate of increase in stress under external strain and the latter being the stress value at which the material flows in a plastic manner. It is therefore important to understand how these parameters can be related to the interparticle potential. Here a scaling theory is presented such that given the interparticle potential, the dependence of the yield stress, and the shear modulus on the density of the solid can be predicted in the athermal limit. It is explained when such prediction is possible at all densities and when it is only applicable at high densities.

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  • Received 25 February 2009

DOI:https://doi.org/10.1103/PhysRevB.79.180203

©2009 American Physical Society

Authors & Affiliations

Edan Lerner1, Itamar Procaccia1,2, Emily S. C. Ching2,3, and H. G. E Hentschel4

  • 1Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel
  • 2Institute of Theoretical Physics, The Chinese University of Hong Kong, Shatin, Hong Kong
  • 3Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong
  • 4Deparment of Physics, Emory University, Atlanta, Georgia 30322, USA

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Issue

Vol. 79, Iss. 18 — 1 May 2009

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