Advertisement

Computational Models of Laminated Glass Plate under Transverse Static Loading

  • Ivelin V. IvanovEmail author
  • Dimitar S. Velchev
  • Tomasz Sadowski
  • Marcin Kneć
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 15)

Abstract

Laminated glass with Polyvinyl Butyral (PVB) interlayer became a popular safety glass for aircraft windows, architectural and automotive glazing applications. The very soft interlayer, bonding the glass plates, however, has negligible normal stress in transverse loading and it resists mainly by shear stress. The classical laminate theory obeying the principle of the straight normals remaining straight is not valid for laminated glass. Conventional Finite Elements (FE) are used to model the laminated glass in cylindrical bending to investigate the problem. Based on the assumption that the glass layers of a laminated glass plate obey Kirchoff’s classical plate theory and the PVB-interlayer transfer load by shear stress only, the differential equations of a Triplex Laminated Glass (TLG) plate are derived and a special TLG plate FE is elaborated. For each of its nodes, the element has one transverse translational, three rotational, and two additional degrees of freedom representing the slippage between the glass layers. All computational models are compared with experimental tests of a laminated glass strip in cylindrical bending.

Keywords

Laminate Transverse load Computational models 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes

Acknowledgements

The research leading to these results has received funding from the European Union Seventh Framework Programme (FP7/2007-2013), FP7 - REGPOT - 2009 - 1, under grant agreement No:245479. The support by Polish Ministry of Science and Higher Education, Grant No 1471-1/7.PR UE/2010/7, is also acknowledged as well as the support by National Science Fund of Bulgarian Ministry of Education and Science, grand agreement No DDVU 02/052-20.12.2010.

References

  1. 1.
    Aşik M Z (2003) Laminated glass plates: revealing of nonlinear behavior. Computers and Structures 81:2659–2671CrossRefGoogle Scholar
  2. 2.
    Aşik M Z Tezcan S (2005) A mathematical model for the behavior of laminated glass beams. Computers and Structures 83:1742–1753CrossRefGoogle Scholar
  3. 3.
    Dhaliwal A K, Hay J N (2002) The characterization of polyvinyl butyral by thermal analysis. Thermochimica Acta 391:245–255 CrossRefGoogle Scholar
  4. 4.
    Duser A V, Jagota A, Bennison S J (1999) Analysis of glass/polyvinyl butyral laminates subjected to uniform pressure. Journal of Engineering Mechanics 125:435–442CrossRefGoogle Scholar
  5. 5.
    Ivanov I V (2006) Analysis modelling and optimization of laminated glasses as plane beam. Int J Solids Struct 43:6887–6907 CrossRefGoogle Scholar
  6. 6.
    Jagota A, Bennison S J, Smith C A (2000) Analysis of a compressive shear test for adhesion between elastomeric polymers and rigid substrates. International Journal of Fracture 104:105–130 CrossRefGoogle Scholar
  7. 7.
    Norville H S, King K W, Swofford J L (1998) Behavior and strength of laminated glass. Journal of Engineering Mechanics 124:46–53 CrossRefGoogle Scholar
  8. 8.
    Sobek W, Kutterer M, Messmer R (2000) Untersuchungen zum Schubverbund bei Verbundsicherheitsglas—Ermittlung des zeit- und temperaturabhängigen Schubmoduls von PVB. Bauingenieur 75:41–47 Google Scholar
  9. 9.
    Vallabhan C V G, Minor J E, Nagalla S R (1987) Stress in layered glass units and monolithic glass plates. Journal of Structural Engineering 113:36–43 CrossRefGoogle Scholar
  10. 10.
    Vallabhan C V G, Das Y C, Magdi M, Aşik M, Bailey J R (1993) Analysis of laminated glass units. Journal of Structural Engineering 119:1572–1585 CrossRefGoogle Scholar
  11. 11.
    Zienkiewicz O C, Taylor R L (2000) The Finite Flement Fethod (fifth ed) Vol. 2: Solid Mechanics. Butterworth-Heinemann, Oxford Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Ivelin V. Ivanov
    • 1
    Email author
  • Dimitar S. Velchev
    • 1
  • Tomasz Sadowski
    • 2
  • Marcin Kneć
    • 2
  1. 1.Department of Engineering MechanicsUniversity of RuseRuseBulgaria
  2. 2.Department of Solid MechanicsLublin University of TechnologyLublinPoland

Personalised recommendations