Topological constraint model for the elasticity of glass-forming systems

Collin J. Wilkinson, Qiuju Zheng, Liping Huang, John C. Mauro

Research output: Contribution to journalArticlepeer-review

49 Scopus citations


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.

Original languageEnglish (US)
Article number100019
JournalJournal of Non-Crystalline Solids: X
StatePublished - Jun 2019

All Science Journal Classification (ASJC) codes

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


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