Topological constraint model for the elasticity of glass-forming systems

Topological constraint model for the elasticity of glass-forming systems

The elastic response of glass is one of its most important properties for a wide range of applications in architecture, transportation, information display, and healthcare. Unfortunately, there is currently no model to predict quantitatively accurate values of elastic moduli from the underlying netw...

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Main Authors: Collin J. Wilkinson, Qiuju Zheng, Liping Huang, John C. Mauro
Format: Article
Language:English
Published: Elsevier 2019-06-01
Series:Journal of Non-Crystalline Solids: X
Online Access:http://www.sciencedirect.com/science/article/pii/S2590159119300329
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spelling doaj-c7172985fd804edb955b524aa89c640f2020-11-25T01:34:57ZengElsevierJournal of Non-Crystalline Solids: X2590-15912019-06-012Topological constraint model for the elasticity of glass-forming systemsCollin J. Wilkinson0Qiuju Zheng1Liping Huang2John C. Mauro3Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA 16802, USASchool of Materials Science and Engineering, Qilu University of Technology, 250353 Jinan, China; Corresponding authors.Department of Materials Science and Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180, USA; Corresponding authors.Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA 16802, USA; Corresponding authors.The elastic response of glass is one of its most important properties for a wide range of applications in architecture, transportation, information display, and healthcare. Unfortunately, there is currently no model to predict quantitatively accurate values of elastic moduli from the underlying network topology of the glass. Here we introduce a topological model to calculate the Young's modulus of glass in terms of the free energy density of rigid constraints in the network. The model shows quantitatively accurate agreement with glasses across a variety of compositional families. More remarkably, the variation of modulus with temperature can also be predicted by accounting for the temperature dependence of the constraints, including the approach to the viscoelastic region near the glass transition. Keywords: Disordered solids, Glasses, Elasticity, Elastic modulihttp://www.sciencedirect.com/science/article/pii/S2590159119300329
collection DOAJ
language English
format Article
sources DOAJ
author Collin J. Wilkinson
Qiuju Zheng
Liping Huang
John C. Mauro
spellingShingle Collin J. Wilkinson
Qiuju Zheng
Liping Huang
John C. Mauro
Topological constraint model for the elasticity of glass-forming systems
Journal of Non-Crystalline Solids: X
author_facet Collin J. Wilkinson
Qiuju Zheng
Liping Huang
John C. Mauro
author_sort Collin J. Wilkinson
title Topological constraint model for the elasticity of glass-forming systems
title_short Topological constraint model for the elasticity of glass-forming systems
title_full Topological constraint model for the elasticity of glass-forming systems
title_fullStr Topological constraint model for the elasticity of glass-forming systems
title_full_unstemmed Topological constraint model for the elasticity of glass-forming systems
title_sort topological constraint model for the elasticity of glass-forming systems
publisher Elsevier
series Journal of Non-Crystalline Solids: X
issn 2590-1591
publishDate 2019-06-01
description The elastic response of glass is one of its most important properties for a wide range of applications in architecture, transportation, information display, and healthcare. Unfortunately, there is currently no model to predict quantitatively accurate values of elastic moduli from the underlying network topology of the glass. Here we introduce a topological model to calculate the Young's modulus of glass in terms of the free energy density of rigid constraints in the network. The model shows quantitatively accurate agreement with glasses across a variety of compositional families. More remarkably, the variation of modulus with temperature can also be predicted by accounting for the temperature dependence of the constraints, including the approach to the viscoelastic region near the glass transition. Keywords: Disordered solids, Glasses, Elasticity, Elastic moduli
url http://www.sciencedirect.com/science/article/pii/S2590159119300329
work_keys_str_mv AT collinjwilkinson topologicalconstraintmodelfortheelasticityofglassformingsystems
AT qiujuzheng topologicalconstraintmodelfortheelasticityofglassformingsystems
AT lipinghuang topologicalconstraintmodelfortheelasticityofglassformingsystems
AT johncmauro topologicalconstraintmodelfortheelasticityofglassformingsystems
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