Journal of Thermal Analysis and Calorimetry

, Volume 101, Issue 2, pp 651–656 | Cite as

Finite-element simulation of temperature-dependent three-point bending process of glass

  • Monika Pernach
  • Marcin Środa
  • Maciej Pietrzyk


Simulation of strains and stresses distributions in the glass subjected to a bending load during heat treatment is presented in the paper. The main objective of the work is to combine the temperature-dependent experimental test of three-point bending with simulation of this test and to apply inverse analysis to determine the properties of glass. The thermo-mechanical analysis (TMA) was used to test a temperature-dependent glass deformation. The Adina finite element software was used for simulations of the viscous flow. Two parameters in the Williams–Landell–Ferry (WLF) equation were identified by optimization of the square root error between measured and predicted deflection of the sample. Performed experiments and simulations yielded the values of these coefficients: C 1 = 26.3 and C 2 = 62.7. The proposed model with the optimized coefficients confirmed good agreement with the experimental data.


Finite-element simulation Glass Viscous flow Three-point bending Williams–Landell–Ferry equation 



The work was financially supported by the University Grant as a project of Faculty of Material Science and Ceramics no in 2009.


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2010

Authors and Affiliations

  • Monika Pernach
    • 1
  • Marcin Środa
    • 2
  • Maciej Pietrzyk
    • 1
  1. 1.Faculty of Metals Engineering and Industrial Computer ScienceAGH University of Science and TechnologyKrakówPoland
  2. 2.Faculty of Material Science and CeramicsKrakówPoland

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