• Rapid Communication

Breakdown of nonlinear elasticity in stress-controlled thermal amorphous solids

Vladimir Dailidonis, Valery Ilyin, Itamar Procaccia, and Carmel A. B. Z. Shor
Phys. Rev. E 95, 031001(R) – Published 24 March 2017

Abstract

In recent work it was clarified that amorphous solids under strain control do not possess nonlinear elastic theory in the sense that the shear modulus exists but nonlinear moduli exhibit sample-to-sample fluctuations that grow without bound with the system size. More relevant, however, for experiments are the conditions of stress control. In the present Rapid Communication we show that also under stress control the shear modulus exists, but higher-order moduli show unbounded sample-to-sample fluctuation. The unavoidable consequence is that the characterization of stress-strain curves in experiments should be done with a stress-dependent shear modulus rather than with nonlinear expansions.

  • Figure
  • Figure
  • Received 4 January 2017

DOI:https://doi.org/10.1103/PhysRevE.95.031001

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Vladimir Dailidonis1, Valery Ilyin2, Itamar Procaccia2, and Carmel A. B. Z. Shor2

  • 1Bogolyubov Institute for Theoretical Physics, 03680 Kiev, Ukraine
  • 2Department of Chemical Physics, Weizmann Institute of Science, Rehovot 76100, Israel

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Issue

Vol. 95, Iss. 3 — March 2017

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