Derivation of the Johnson-Samwer $T^{(2/3)}$ Temperature Dependence of the Yield Strain in Metallic Glasses

Abstract

Metallic Glasses are prone to fail mechanically via a shear-banding instability. In a remarkable paper Johnson and Samwer demonstrated that this failure enjoys a high degree of universality in the sense that a large group of metallic glasses appears to possess a yield-strain that decreases with temperature following a $-T^{2/3}$ law up to logarithmic corrections. In this Letter we offer a theoretical derivation of this law. We show that our formula fits very well simulational data on typical amorphous solids.

References in corpus (4)

• Statistical Physics of the Yielding Transition in Amorphous Solids
• Microscopic Mechanism of Shear Bands in Amorphous Solids
• The Yield-Strain in Shear Banding Amorphous Solids
• Universality of the Plastic Instability in Strained Amorphous Solids

Cited by in corpus (5)

• Interatomic repulsion softness directly controls the fragility of supercooled metallic melts
• Elasticity, Facilitation and Dynamic Heterogeneity in Glass-Forming liquids
• Shear localization in 3-Dimensional Amorphous Solids
• The yielding of amorphous solids at finite temperatures
• Consequences of Disorder on the Stability of Amorphous Solids