1210.7982 (Ratul Dasgupta et al.)

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

Ratul Dasgupta, Ashwin Joy, H. G. E. Hentschel, Itamar Procaccia

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.

View original: http://arxiv.org/abs/1210.7982