A Universal Criterion for Plastic Yielding of Metallic Glasses with a ( T / T g ) 2 / 3 Temperature Dependence
California Institute of Technology
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Abstract
Room temperature (${T}_{R}$) elastic constants and compressive yield strengths of $\ensuremath{\sim}30$ metallic glasses reveal an average shear limit ${\ensuremath{\gamma}}_{C}=0.0267\ifmmode\pm\else\textpm\fi{}0.0020$, where ${\ensuremath{\tau}}_{Y}={\ensuremath{\gamma}}_{C}G$ is the maximum resolved shear stress at yielding, and $G$ the shear modulus. The ${\ensuremath{\gamma}}_{C}$ values for individual glasses are correlated with $t={T}_{R}/{T}_{g}$, and ${\ensuremath{\gamma}}_{C}$ for a single glass follows the same correlation (vs $t=T/{T}_{g}$). A cooperative shear model, inspired by Frenkel's analysis of the shear strength of solids, is proposed. Using a scaling analysis leads to a universal law…
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Keywords
- Physics
- Shear modulus
- Mathematical physics
- Scaling
- Materials science
- Condensed matter physics
- Thermodynamics
- Mathematics
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