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A constitutive theory and modeling on deviation of shear band inclination angles in bulk metallic glasses

Published online by Cambridge University Press:  31 January 2011

Ming Zhao  and
Mo Li
Ming Zhao
Affiliation:
Department of Advanced Materials and Nanotechnology, College of Engineering, Peking University, Beijing 100871, People’s Republic of China; and School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332
Mo Li*
Affiliation:
School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332
*
a) Address all correspondence to this author. e-mail: mo.li@mse.gatech.edu
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Abstract

A constitutive theory for metallic glasses is established that is based mainly on the Drucker-Prager model and a free-volume theory. The primary emphasis of this theory is on volume dilatation and its consequences on mechanical responses in metallic glasses that have been known from studies in both experiments and atomistic simulations. We also implemented the constitutive theory in a finite element modeling scheme and conducted numerical modeling of deformation of a metallic glass under plane-strain tension and compression. In particular, we focused our attention on the deviation of the shear band inclination angle, a commonly observed phenomenon for metallic glasses. We found very good qualitative agreement with available experimental data on shear band inclination angle and stress-strain relation. We also give a detailed discussion on different constitutive models, in particular the Coulomb-Mohr model, in the context of predicting the shear band inclination angle.

Keywords

AmorphousSimulationStress/strain relationship
Type
Articles
Information
Journal of Materials Research , Volume 24 , Issue 8 , August 2009 , pp. 2688 - 2696
Copyright
Copyright © Materials Research Society 2009

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