Year: 2016
Author: Miguel Lagos, Raj Das
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 3 : pp. 485–498
Abstract
Common silicate glasses are among the most brittle of the materials. However, on warming beyond the glass transition temperature $T_g$ glass transforms into one of the most plastic known materials. Bulk metallic glasses exhibit similar phenomenology, indicating that it rests on the disordered structure instead on the nature of the chemical bonds. The micromechanics of a solid with bulk amorphous structure is examined in order to determine the most basic conditions the system must satisfy to be able of plastic flow. The equations for the macroscopic flow, consistent with the constrictions imposed at the atomic scale, prove that a randomly structured bulk material must be either a brittle solid or a liquid, but not a ductile solid. The theory permits to identify a single parameter determining the difference between the brittle solid and the liquid. However, the system is able of perfect ductility if the plastic flow proceeds in two dimensional plane layers that concentrate the strain. Insight is gained on the nature of the glass transition, and the phase occurring between glass transition and melting.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2013.m439
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 3 : pp. 485–498
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Glasses bulk metallic glass shear bands ductility micromechanical modelling.