3D diagrams of equations of viscous flow of silicate glass-forming melts

Kozmidis-Petrović, Ana F.

doi:10.1016/j.jnoncrysol.2012.02.022

Cited by 4 publications

(2 citation statements)

References 29 publications

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“…The topological viscosity model represents an intermediate level of approach between traditional atomistic simulations techniques (such as molecular dynamics) and empirical macroscopic modeling. The current approach offers advantages compared to the purely empirical models based on linear expansions of viscosity coefficients, [38][39][40][41][42][43] which tend to break down at the outer regions of the composition space. We have not found such errors using the topological model.…”

Section: Discussionmentioning

confidence: 99%

Topological Model for the Viscosity of Multicomponent Glass‐Forming Liquids

Mauro

Ellison

Allan

et al. 2012

Int J of Appl Glass Sci

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Topological constraint theory holds the key to understanding the temperature and composition dependence of the dynamics of glass‐forming liquids. Unfortunately, existing analytical models currently do not apply to multicomponent industrial glasses. Moreover, models that are strictly empirical in nature fail to provide insight into the underlying physical trends and cannot extrapolate beyond the compositional ranges used for fitting of their parameters. In this paper, we present a phenomenological model offering an improved description of the composition and temperature dependence of the shear viscosity of multicomponent liquids. The model has a clear physical foundation based on the temperature dependence of the network constraints with only two empirical fitting parameters per oxide component. The model predicts the isokom temperatures of 7141 viscosity measurements for 760 different compositions with a root‐mean‐square error of only 6.55 K.

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Section: Discussionmentioning

confidence: 99%

Topological Model for the Viscosity of Multicomponent Glass‐Forming Liquids

Mauro

Ellison

Allan

et al. 2012

Int J of Appl Glass Sci

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“…In our study, the 3D diagrams of the VFT, the AM, and the MYEGA functions were compared as the functions of two variables for different temperature (or the ratio of T/T g ) and in a wide range of composition. In these comparisons, the temperature dependency of viscous functions was considered as T g ‐scaled Arrhenius plot (the Angell plot).…”

Section: Introductionmentioning

confidence: 99%

Modified Angell Plot of Viscous Flow with Application to Silicate and Metallic Glass‐Forming Liquids

Kozmidis-Petrović

2014

Int J of Appl Glass Sci

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The behavior of the Vogel-Fulcher-Tammann (VFT), Avramov and Milchev (AM) and Mauro, Yue, Ellison, Gupta and Allan (MYEGA) functions of viscous flow in relation to t = T g /(TÀT o ) is analyzed, where T g is glass transition temperature and T o is the temperature in the VFT equation at which the configurational entropy becomes zero. The T g -scaled Arrhenius plot (the Angell plot) has been modified. The log gÀ(T g /T) relationships in the Angell plot were modified as log g-(T g )/(TÀT o ) relationships (T g -scaled VFT plot). The values of parameter m 1 = d(log g)/dt│ T=Tg for some silicate and metallic glass-forming liquids are presented too. The parameter m 1 still exhibits "fragility" effect as does the kinetic fragility parameter m = d(log g)/d (T g /T)│ T=Tg in the Angell plot. The plot of log g VFT in relation to t = T g /(TÀT o ) is the linear function unlike the Angell plot. The dependences of log g MYEGA and log g AM on t are not linear. It is possible to present the dependences of log g as functions of m 1 and t in the form of 3D graphs. *analeto@yahoo.com

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Thermal Analysis and Thermodynamic Properties of Solids

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3D diagrams of equations of viscous flow of silicate glass-forming melts

Cited by 4 publications

References 29 publications

Topological Model for the Viscosity of Multicomponent Glass‐Forming Liquids

Topological Model for the Viscosity of Multicomponent Glass‐Forming Liquids

Modified Angell Plot of Viscous Flow with Application to Silicate and Metallic Glass‐Forming Liquids

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