Scaling behavior and complexity of plastic deformation for a bulk metallic glass at cryogenic temperatures.
We explore the scaling behavior and complexity in the shear-branching process during the compressive deformation of a bulk metallic glass Zr(64.13)Cu(15.75)Al(10)Ni(10.12) (at. %) at cryogenic temperatures. The fractal dimension of the stress rate signal ranges from 1.22 to 1.72 with decreasing temperature and a larger shear-branching rate occurs at lower temperature. A stochastic model is introduced for the shear-branching process. In particular, at a temperature of 213K, the shear-branching process evolves as a self-similar random process. In addition, the complexity of the stress rate signal conforms to the larger activation energy of the shear transformation zone at lower temperatures.
School of Mathematics and Statistics, Zhengzhou University, 100 Science Road, Zhengzhou 450001, China.
Cun
C
Chen
School of Mathematics and Statistics, Zhengzhou University, 100 Science Road, Zhengzhou 450001, China.
Jingli
J
Ren
Laboratory for Microstructures, Shanghai University, Shanghai 200444, China.
Gang
G
Wang
Department of Physics and Institute of Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801, USA.
Karin A
KA
Dahmen
Department of Materials Science and Engineering, University of Tennessee, Knoxville, Tennessee 37996, USA.
Peter K
PK
Liaw