Modeling of delayed elasticity in glass

Zheming Zheng, John C. Mauro, Douglas C. Allan

Research output: Contribution to journalArticle

Abstract

We have developed a numerical model based on finite element analysis (FEA) with a viscoelastic material model coupling stress relaxation and structural relaxation, using the Mauro-Allan-Potuzak (MAP) non-equilibrium viscosity equation as the shift function. A modeling study of the delayed elasticity behavior in glass under different equilibrium viscosity and non-equilibrium viscosity conditions is conducted. The delayed elastic response is found to be well described by a stretched exponential function with three parameters: the maximum delayed elasticity response, the retardation time of delayed elasticity response, and the stretching exponent of delayed elasticity response. The delayed elasticity magnitude is seen to increase with lower values of the stretching exponent bstress. At equilibrium viscosity, the retardation time shows a linear relationship with the stress relaxation time. However, when the temperature drops sharply in the non-equilibrium viscosity cases, the delayed elastic response may be frozen resulting in a lower magnitude for the delayed elasticity and the retardation time is not linear any more with the stress relaxation time. The delayed elasticity stretching exponent is seen to vary slightly at different relaxation times and normalized delayed elasticity response can roughly be collapsed into a single master curve. The impact of liquid fragility is also studied.

Original languageEnglish (US)
Pages (from-to)432-442
Number of pages11
JournalJournal of Non-Crystalline Solids
Volume500
DOIs
StatePublished - Nov 15 2018

Fingerprint

Elasticity
elastic properties
Glass
glass
Viscosity
viscosity
stress relaxation
Stress relaxation
Relaxation time
Stretching
relaxation time
exponents
Structural relaxation
Exponential functions
exponential functions
Numerical models
Finite element method
shift
Liquids
curves

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Condensed Matter Physics
  • Materials Chemistry

Cite this

Zheng, Zheming ; Mauro, John C. ; Allan, Douglas C. / Modeling of delayed elasticity in glass. In: Journal of Non-Crystalline Solids. 2018 ; Vol. 500. pp. 432-442.
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Modeling of delayed elasticity in glass. / Zheng, Zheming; Mauro, John C.; Allan, Douglas C.

In: Journal of Non-Crystalline Solids, Vol. 500, 15.11.2018, p. 432-442.

Research output: Contribution to journalArticle

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