Universality of the Plastic Instability in Strained Amorphous Solids

Abstract

By comparing the response to external strains in metallic glasses and in Lenard-Jones glasses we find a quantitative universality of the fundamental plastic instabilities in the athermal, quasistatic limit. Microscopically these two types of glasses are as different as one can imagine, the latter being determined by binary interactions, whereas the former by multiple interactions due to the effect of the electron gas that cannot be disregarded. In spite of this enormous difference the plastic instability is the same saddle-node bifurcation. As a result the statistics of stress and energy drops in the elasto-plastic steady state are universal, sharing the same system-size exponents.

References in corpus (3)

• Statistical Physics of the Yielding Transition in Amorphous Solids
• Do Athermal Amorphous Solids Exist?
• Statistical Physics of Elasto-Plastic Steady States in Amorphous Solids: Finite Temperatures and Strain Rates

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• Derivation of the Johnson-Samwer $T^{(2/3)}$ Temperature Dependence of the Yield Strain in Metallic Glasses
• Atomistic Simulations of Magnetic Amorphous Solids: Magnetostriction, Barkhausen noise and novel singularities
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• The Plastic Response of Magnetoelastic Amorphous Solids
• Structural and mechanical characteristics of sphere packings near the jamming transition: From fully amorphous to quasi-ordered structures
• Theory of rigidity and numerical analysis of density of states of two-dimensional amorphous solids with dispersed frictional grains in the linear response regime
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