Skip to main content
SpringerLink
Log in

A plate finite element for modelling of triplex laminated glass and comparison with other computational models

  • Computational Micromechanics of Materials
  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

Laminated glass became a popular safety glass. The very soft interlayer of polymeric material impedes the slippage between glass layers, bending in parallel, by shear stress. The shear stress of the interlayer breaches the principle of straight normals remaining straight after deformation, on which is based the conventional shell elements in finite element (FE) analysis. As a result of this, the conventional finite elements are not capable to solve the laminated glass problems efficiently. Based on the assumption that the glass layers of a laminated glass obey Kirchoff’s plate theory and the interlayer transfer shear stress only, a finite element formulation is elaborated by introducing new degrees of freedom and implemented in a special rectangular triplex laminated glass plate FE. The element is validated by comparison with other computational FE models and experimental tests of a laminated glass strip in cylindrical bending and a laminated glass panel in transverse loading. The developed plate element or similar shell elements that could be developed on the same theory could solve the problem with laminated glass structures very efficiently and accurately, which is now usually solved by sacrificing the fidelity.

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
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

References

  1. Vallabhan CVG, Minor JE, Nagalla SR (1987) Stress in layered glass units and monolithic glass plates. J Struct Eng 113:36–43

    Article  Google Scholar 

  2. Norville HS, King KW, Swofford JL (1998) Behavior and strength of laminated glass. J Eng Mech 124:46–53

    Article  Google Scholar 

  3. Vallabhan CVG, Das YC, Magdi M, Aşik M, Bailey JR (1993) Analysis of laminated glass units. J Struct Eng 119:1572–1585

    Article  Google Scholar 

  4. Aşik MZ (2003) Laminated glass plates: revealing of nonlinear behavior. Comput Struct 81:2659–2671

    Article  Google Scholar 

  5. Aşik MZ, Tezcan S (2005) A mathematical model for the behavior of laminated glass beams. Comput Struct 83:1742–1753

    Article  Google Scholar 

  6. Ivanov IV (2006) Analysis modelling and optimization of laminated glasses as plane beam. Int J Solids Struct 43:6887–6907

    Article  MATH  Google Scholar 

  7. Duser AV, Jagota A, Bennison SJ (1999) Analysis of glass/polyvinyl butyral laminates subjected to uniform pressure. J Eng Mech 125:435–442

    Article  Google Scholar 

  8. Schulze S-H, Pander M, Naumenko K, Altenbach H (2012) Analysis of laminated glass beams for photovoltaic applications. Int J Solids Struct 49:2027–2036

    Article  Google Scholar 

  9. Weps M, Naumenko K, Altenbach H (2013) Unsymmetric three-layer laminate with soft core for photovoltaic modules. Compos Struct 105:332–339

    Article  Google Scholar 

  10. Eisenträger J, Naumenko K, Altenbach H, Köppe H (2015) Application of the first-order shear deformation theory to the analysis of laminated glasses and photovoltaic panels. Int J Mech Sci 96–97:163–171

    Article  Google Scholar 

  11. Zienkiewicz OC, Taylor RL (2000) The finite element method, solid mechanics, vol 2, 5th edn. Butterworth-Heinemann, Oxford

    Google Scholar 

  12. Jagota A, Bennison SJ, Smith CA (2000) Analysis of a compressive shear test for adhesion between elastomeric polymers and rigid substrates. Int J Fract 104:105–130

    Article  Google Scholar 

  13. ABAQUS Analysis User’s Manual, ver. 6.11 (2011) Dassault Systèmes Simulia Corp., Providence, RI, USA

Download references

Acknowledgments

Financial support of Structural Funds in the Operational Programme - Innovative Economy (IE OP) financed from the European Regional Development Fund-Project “Modern material technologies in aerospace industry”, No. POIG.0101.02-00-015/08 is gratefully acknowledged (RT-15: Unconventional technologies of joining elements of aeronautical constructions). The support by National Science Fund of Bulgarian Ministry of Education and Science, Grant agreement No. DDVU 02/052- 20.12.2010, and the support by Polish Ministry of Science and Higher Education, within the statutory research No. S/20/2015, are also acknowledged.

Author information

Authors and Affiliations

  1. Department of Engineering Mechanics, University of Ruse, “Studentska” 8, 7017, Ruse, Bulgaria

    I. V. Ivanov, D. S. Velchev, N. G. Georgiev & I. D. Ivanov

  2. Department of Solid Mechanics, Lublin University of Technology, “Nadbystrzycka” 40, 20-618, Lublin, Poland

    T. Sadowski

Authors
  1. I. V. Ivanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. S. Velchev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. G. Georgiev
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. I. D. Ivanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. T. Sadowski
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to T. Sadowski.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ivanov, I.V., Velchev, D.S., Georgiev, N.G. et al. A plate finite element for modelling of triplex laminated glass and comparison with other computational models. Meccanica 51, 341–358 (2016). https://doi.org/10.1007/s11012-015-0275-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11012-015-0275-0

Keywords

Search

Navigation