Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 50, Issue 5, Pages 1011-1027Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0022-5096(01)00115-6
Keywords
metallic glasses; free volume; inhomogeneous deformation; localization
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The present study provides a theoretical framework for the inhomogeneous deformation in metallic glasses. The free volume concentration is adopted as the order parameter, Which is a function of position and time. The three processes that can change the local free volume concentration are diffusion, annihilation, and stress-driven creation. The rate functions for free volume generation and plastic flow depend on the underlying microscopic model, but the framework is generally valid for different models. A simple shear problem is solved as an example. A linear stability analysis is performed on the basis of the homogeneous solution. An inhomogeneous solution is obtained with a finite amplitude disturbance to the initial free volume distribution. Numerical simulation shows the development of the inhomogeneous deformation and strain localization. (C) 2002 Elsevier Science Ltd. All rights resented.
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