A Predictive Fabric Model for Membrane Structure Design

  • Benjamin N. Bridgens
  • Peter D. Gosling
Part of the Computational Methods in Applied Sciences book series (COMPUTMETHODS, volume 8)

Abstract

A predictive model has been developed to determine the biaxial stress-strain response of architectural fabrics, without the need for biaxial testing. Sawtooth and sinusoid models of the fabric unit cell have been formulated, with spring elements between crossovers used to represent the coating. In both models a constant yarn cross-sectional area has been maintained, resulting in a relationship between unit cell length and yarn thickness which eliminates the need to determine the yarn crushing stiffness. A state-of-the-art biaxial test rig and new test protocol have been developed to fully ascertain the stress-strain behaviour of structural fabrics. This enables meaningful comparison to be made between the model output and actual fabric response. The model provides a more accurate representation of fabric behaviour than current industry best practice (i.e. use of elastic constants based on biaxial test data), but without the need for specialist testing or equipment.

Key words

woven fabric unit cell crimp interchange biaxial predictive model 

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References

  1. 1.
    Bridgens BN, Gosling PD, Birchall MJS (2004) Membrane material behaviour: Concepts, practice & developments. The Structural Engineer 82(14):28–33.Google Scholar
  2. 2.
    Bridgens BN, Gosling PD (2004) A new biaxial test protocol for architectural fabrics. In Motro R (ed), IASS 2004 Symposium Montpellier: Shell and Spatial Structures from Models to Realisation pp. 246–247.Google Scholar
  3. 3.
    B.S. EN ISO 1421:1998, Rubber-or plastics-coated fabrics — Determination of tensile strength and elongation at break, British Standards Institute.Google Scholar
  4. 4.
    Dimitrov N, Schock HJ (1986) Study on the load-extension behaviour of coated fabrics, with special reference to PTFE-coated glass-fibre, using the Meffert model. In LSA 86: Lightweight Structures in Architecture, Proceedings of the First International Conference.Google Scholar
  5. 5.
    Freeston WD, Platt MM, Schoppee MM (1967) Stress-strain response of fabrics under two-dimensional loading. Textile Research Journal 37:656–682.CrossRefGoogle Scholar
  6. 6.
    Glaesgen EH, Pastore CM, Griffin OH, Birger A (1996) Geometrical and finite element modelling of textile composites. Composites, Part B 27(1):43–50.CrossRefGoogle Scholar
  7. 7.
    Kato S, Minami H, Yoshino T, Namita T (1997) Analysis of membrane structures based on fabric lattice model considering viscous characteristics. In Proceedings of the IASS International Symposium on Shell and Spatial Structures, Singapore, pp. 411–420.Google Scholar
  8. 8.
    Menges G, Meffert B (1976) Mechanical behaviour of PVC coated polyester fabrics under biaxial stress. Journal of Kunststoffe German Plastics 66(11):12–14.Google Scholar
  9. 9.
    Olofsson B (1964) A general model of a fabric as a geometric-mechanical structure. Journal of the Textile Institute 55:T541–T557.CrossRefGoogle Scholar
  10. 10.
    Pargana JB, Lloyd Smith D, Izzuddin BA, (2000) Advanced material model for the analysis of tensioned fabric structures. In Computational Methods for Shell and Spatial Structures, IASS-IACM 2000, Chania, Crete, Greece.Google Scholar
  11. 11.
    Peirce FT (1937) The geometry of cloth structure. Journal of the Textile Institute 28:81–88.Google Scholar
  12. 12.
    Sasai T, Kawabata S (1985) Biaxial tensile properties of textured yarn fabrics. Journal of the Textile Machinery Society of Japan 31(2):29–34.Google Scholar
  13. 13.
    Tarfaoui M, Akesbi S (2001) A finite element model of mechanical properties of plain weave. Colloids and Surfaces A: Physicochemical and Engineering Aspects 187/188:439–448.CrossRefGoogle Scholar
  14. 14.
    Testa RB, Stubbs N, Spillers WR (1978) Bilinear model for coated square fabrics. Journal of Engineering Mechanics 104:1027–1042.Google Scholar
  15. 15.
    Wang F (2002) Prediction method for tensile property of woven fabrics in lower loads. Journal of Dong Hua University (English edition) 19(2):6–14.Google Scholar

Copyright information

© Springer 2008

Authors and Affiliations

  • Benjamin N. Bridgens
    • 1
  • Peter D. Gosling
    • 2
  1. 1.Arup, Central SquareNewcastle-upon-TyneUK
  2. 2.School of Civil Engineering and GeosciencesUniversity of NewcastleNewcastle-upon-TyneUK

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