Skip to main content
SpringerLink
Log in

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

  • Published:
Journal of Thermal Analysis and Calorimetry Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. Choi JH, Ha DS, Kim JB, Grandhi RV. Inverse design of glass forming process simulation using an optimization technique and distributed computing. J Mater Process Technol. 2004;148:342–52.

    Article  Google Scholar 

  2. Feulvarch E, Moulin N, Saillard P, Lornage T, Bergheau JM. 3D simulation of glass forming process. J Mater Process Technol. 2005;164:1197–203.

    Article  Google Scholar 

  3. Cesar de Sa JMA. Numerical modeling of glass forming processes. Eng Comput. 1986;3:266–75.

    Article  Google Scholar 

  4. Gregoire S, Cesar de Sa JMA, Moreau P, Lochegnies D. Modelling of heat transfer at glass/mould interface in press and blow forming processes. Comput Struct. 2007;85:1194–205.

    Article  Google Scholar 

  5. Standard test methods for strength of glass by flexure. ASTM C158-02; 2006.

  6. Williams ML, Landel RF, Ferry JD. The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. J Am Chem Soc. 1955;77:3701–7.

    Article  CAS  Google Scholar 

  7. Povolo F, Hermida E. Scaling concept and the Williams–LandeI–Ferry relationship. J Mater Sci. 1988;23:1255–9.

    Article  CAS  Google Scholar 

  8. Borovinskii SV, Mazurin OV. Universal method of stress analysis of viscoelastic–elastic composites. J Am Ceram Soc. 1986;9:102–6.

    Article  Google Scholar 

  9. Malek J, Shanelova J. Structural relaxation in amorphous solids studied by thermal analysis methods. J Therm Anal Calorim. 2000;60(3):975–88.

    Article  CAS  Google Scholar 

  10. Chromcíkova M, Rodova M, Nitsch K, Liska M. Structural relaxation of scintillating Ce-doped NaGd(PO3)4 glass. J Therm Anal Calorim. 2010. doi:10.1007/s10973-010-0747-3.

  11. Szeliga D, Gawąd J, Pietrzyk M. Inverse analysis for identification of rheological and friction models in metal forming. Comput Methods Appl Mech Eng. 2006;195:6778–98.

    Article  Google Scholar 

Download references

Acknowledgments

The work was financially supported by the University Grant as a project of Faculty of Material Science and Ceramics no 11.11.160.365 in 2009.

Author information

Authors and Affiliations

  1. Faculty of Metals Engineering and Industrial Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, 30-059, Kraków, Poland

    Monika Pernach & Maciej Pietrzyk

  2. Faculty of Material Science and Ceramics, al. Mickiewicza 30, 30-059, Kraków, Poland

    Marcin Środa

Authors
  1. Monika Pernach
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Marcin Środa
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Maciej Pietrzyk
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Monika Pernach.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pernach, M., Środa, M. & Pietrzyk, M. Finite-element simulation of temperature-dependent three-point bending process of glass. J Therm Anal Calorim 101, 651–656 (2010). https://doi.org/10.1007/s10973-010-0884-8

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10973-010-0884-8

Keywords

Search

Navigation