TY - JOUR
T1 - Topological constraint model for the elasticity of glass-forming systems
AU - Wilkinson, Collin J.
AU - Zheng, Qiuju
AU - Huang, Liping
AU - Mauro, John C.
N1 - Funding Information:
Special thanks to Arron R. Potter, Rebecca S. Welch, and Karan Doss for many insightful conversations. C.J. Wilkinson and J.C. Mauro are grateful for financial support from Corning Incorporated. Q. Zheng would like to acknowledge support by National Natural Science Foundation of China (51802165), Shandong Provincial Natural Science Foundation, China (ZR2017LEM007), and Qilu University of Technology (Shandong Academy of Sciences) International Joint Research Funding (QLUTGJHZ2018024). L. Huang acknowledges the financial support from the US National Science Foundation under grant No. DMR-1255378 and DMR-1508410. The authors have no conflicts of interest.
Funding Information:
Special thanks to Arron R. Potter, Rebecca S. Welch, and Karan Doss for many insightful conversations. C.J. Wilkinson and J.C. Mauro are grateful for financial support from Corning Incorporated. Q. Zheng would like to acknowledge support by National Natural Science Foundation of China ( 51802165 ), Shandong Provincial Natural Science Foundation, China ( ZR2017LEM007 ), and Qilu University of Technology (Shandong Academy of Sciences) International Joint Research Funding ( QLUTGJHZ2018024 ). L. Huang acknowledges the financial support from the US National Science Foundation under grant No. DMR-1255378 and DMR-1508410 .
Publisher Copyright:
© 2019
PY - 2019/6
Y1 - 2019/6
N2 - 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.
AB - 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.
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U2 - 10.1016/j.nocx.2019.100019
DO - 10.1016/j.nocx.2019.100019
M3 - Article
AN - SCOPUS:85063231568
SN - 2590-1591
VL - 2
JO - Journal of Non-Crystalline Solids: X
JF - Journal of Non-Crystalline Solids: X
M1 - 100019
ER -