Breakdown of nonlinear elasticity in stress-controlled thermal amorphous solids

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 experimen...

Full description

Saved in:
Bibliographic Details
Published inPhysical review. E Vol. 95; no. 3-1; p. 031001
Main Authors Dailidonis, Vladimir, Ilyin, Valery, Procaccia, Itamar, Shor, Carmel A B Z
Format Journal Article
LanguageEnglish
Published United States 01.03.2017
Online AccessGet more information

Cover

More Information
Summary: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.
ISSN:2470-0053
DOI:10.1103/PhysRevE.95.031001