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...

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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
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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.
AbstractList 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.
Author Ilyin, Valery
Procaccia, Itamar
Dailidonis, Vladimir
Shor, Carmel A B Z
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  givenname: Valery
  surname: Ilyin
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  organization: Department of Chemical Physics, Weizmann Institute of Science, Rehovot 76100, Israel
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  givenname: Itamar
  surname: Procaccia
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  organization: Department of Chemical Physics, Weizmann Institute of Science, Rehovot 76100, Israel
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  givenname: Carmel A B Z
  surname: Shor
  fullname: Shor, Carmel A B Z
  organization: Department of Chemical Physics, Weizmann Institute of Science, Rehovot 76100, Israel
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crossref_primary_10_1209_0295_5075_ad2087
crossref_primary_10_1103_PhysRevE_96_033002
crossref_primary_10_1103_PhysRevLett_123_098003
crossref_primary_10_1063_5_0209341
crossref_primary_10_1103_PhysRevE_100_042901
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