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Title: Short-range correlations control the G/K and Poisson ratios of amorphous solids and metallic glasses

Abstract

The bulk modulus of many amorphous materials, such as metallic glasses, behaves nearly in agreement with the assumption of affine deformation, namely that the atoms are displaced just by the amount prescribed by the applied strain. In contrast, the shear modulus behaves as for nonaffine deformations, with additional displacements due to the structural disorder which induce a marked material softening to shear. The consequence is an anomalously large ratio of the bulk modulus to the shear modulus for disordered materials characterized by dense atomic packing, but not for random networks with point atoms. We explain this phenomenon with a microscopic derivation of the elastic moduli of amorphous solids accounting for the interplay of nonaffinity and short-range particle correlations due to excluded volume. Short-range order is responsible for a reduction of the nonaffinity which is much stronger under compression, where the geometric coupling between nonaffinity and the deformation field is strong, whilst under shear this coupling is weak. Predictions of the Poisson ratio based on this model allow us to rationalize the trends as a function of coordination and atomic packing observed with many amorphous materials.

Authors:
;  [1]
  1. Cavendish Laboratory, University of Cambridge, JJ Thomson Avenue, Cambridge CB3 0HE (United Kingdom)
Publication Date:
OSTI Identifier:
22275745
Resource Type:
Journal Article
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 115; Journal Issue: 3; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-8979
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; AMORPHOUS STATE; COMPRESSION; COMPRESSION STRENGTH; CORRELATIONS; COUPLING; DEFORMATION; METALLIC GLASSES; POISSON RATIO; SHEAR PROPERTIES; SOLIDS; STRAINS

Citation Formats

Zaccone, Alessio, and Terentjev, Eugene M. Short-range correlations control the G/K and Poisson ratios of amorphous solids and metallic glasses. United States: N. p., 2014. Web. doi:10.1063/1.4862403.
Zaccone, Alessio, & Terentjev, Eugene M. Short-range correlations control the G/K and Poisson ratios of amorphous solids and metallic glasses. United States. doi:10.1063/1.4862403.
Zaccone, Alessio, and Terentjev, Eugene M. Tue . "Short-range correlations control the G/K and Poisson ratios of amorphous solids and metallic glasses". United States. doi:10.1063/1.4862403.
@article{osti_22275745,
title = {Short-range correlations control the G/K and Poisson ratios of amorphous solids and metallic glasses},
author = {Zaccone, Alessio and Terentjev, Eugene M.},
abstractNote = {The bulk modulus of many amorphous materials, such as metallic glasses, behaves nearly in agreement with the assumption of affine deformation, namely that the atoms are displaced just by the amount prescribed by the applied strain. In contrast, the shear modulus behaves as for nonaffine deformations, with additional displacements due to the structural disorder which induce a marked material softening to shear. The consequence is an anomalously large ratio of the bulk modulus to the shear modulus for disordered materials characterized by dense atomic packing, but not for random networks with point atoms. We explain this phenomenon with a microscopic derivation of the elastic moduli of amorphous solids accounting for the interplay of nonaffinity and short-range particle correlations due to excluded volume. Short-range order is responsible for a reduction of the nonaffinity which is much stronger under compression, where the geometric coupling between nonaffinity and the deformation field is strong, whilst under shear this coupling is weak. Predictions of the Poisson ratio based on this model allow us to rationalize the trends as a function of coordination and atomic packing observed with many amorphous materials.},
doi = {10.1063/1.4862403},
journal = {Journal of Applied Physics},
issn = {0021-8979},
number = 3,
volume = 115,
place = {United States},
year = {2014},
month = {1}
}