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Brittle and Ductile Character of Amorphous Solids

Part of: Generalities, axiomatics, foundations of continuum mechanics of solids

Published online by Cambridge University Press:  27 January 2016

Miguel Lagos  and
Raj Das
Miguel Lagos
Affiliation:
Facultad de Ingeniería, Universidad de Talca, Campus Los Niches, Camino a los Niches , Km 1, Curicó, Chile
Raj Das*
Affiliation:
Department of Mechanical Engineering, University of Auckland, Auckland, New Zealand
*
*Corresponding author. Email: mlagos@utalca.cl (M. Lagos), r.das@auckland.ac.nz(R. Das)
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Abstract.

Common silicate glasses are among the most brittle of the materials. However, on warming beyond the glass transition temperature Tg 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.

Keywords

Glassesbulk metallic glassshear bandsductilitymicromechanical modelling

MSC classification

Secondary: 74A45: Theories of fracture and damage 74A60: Micromechanical theories 74A20: Theory of constitutive functions
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 3 , June 2016 , pp. 485 - 498
Copyright
Copyright © Global-Science Press 2016 

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