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A Simple Anisotropic Fiber Reinforced Hyperelastic Constitutive Model for Woven Composite Fabrics

  • X. Q. Peng
  • Z. Y. Guo
  • Zia-Ur-Rehman
  • P. Harrison
Composites forming processes: P. Boisse

Abstract

Based on fiber reinforced continuum mechanics theory, a simple hyperelastic constitutive model is developed to characterize the anisotropic nonlinear material behaviour of woven composite fabrics under large deformation during forming. The strain energy function for the hyperelastic model is additively decomposed into two parts nominally representing the tensile energy from weft and warp yarn fiber stretches and shearing energy from fiber-fiber interaction between weft and warp yarns, respectively. The proposed material characterization approach is demonstrated on a balanced plain weave composite fabric. The equivalent material parameters in the hyperelastic constitutive model are obtained by matching experimental load-displacement data of uni-axial tensile and picture frame tests on the woven composite fabric. The development of this anisotropic fiber reinforced hyperelastic model is critical to the numerical simulation and optimization of woven composites forming.

Keywords

Fabrics Constitutive modelling Anisotropy Hyperelastic Finite element analysis 

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References

  1. [1]
    Peng XQ, Cao J (2005) A continuum mechanics-based non-orthogonal constitutive model for woven composite fabrics. Compo Manuf 36:859–874CrossRefGoogle Scholar
  2. [2]
    Lee W, Cao J, Badel P, Boisse P (2008) Non-orthogonal constitutive model for woven composites incorporating tensile effect on shear behavior. J Mater Form Suppl 1:891–894CrossRefGoogle Scholar
  3. [3]
    Peng XQ, Cao J (2002) A dual homogenization and finite element approach for material characterization f textile compos 33(1):4556Google Scholar
  4. [4]
    Boisse P, Gasser A, Hage`ge B, Billoet JL (2005) Analysis of the mechanical behaviour of woven fibrous material using virtual tests at the unit level. J Mater Sci 40:5955–5962Google Scholar
  5. [5]
    Badel P, Vidal-Sallé E (2008) Large deformation analysis of fibrous materials using rate constitutive equations. CompuGoogle Scholar
  6. [6]
    Khan MA, Mabrouki T, Vidal-Sallé E, Boisse P (2010) Numerical and experimental analyses of woven composite reinforcement forming using a hypoelastic behaviour. Application to the double dome benchmark. J Ma Technol 210:378–388Google Scholar
  7. [7]
    Cao J, Akkerman R, Boisse P et al (2008) Characterization of mechanical behavior of woven fabrics: experimental methods and benchm results. Compos Part A 39:1037–1053CrossRefGoogle Scholar
  8. [8]
    Spencer AJM. Continuum theory of the mechanics of fibre-reinforced composites. Springer-Verlag, New YorkGoogle Scholar

Copyright information

© Springer-Verlag France 2010

Authors and Affiliations

  • X. Q. Peng
    • 1
  • Z. Y. Guo
    • 2
  • Zia-Ur-Rehman
    • 1
  • P. Harrison
    • 2
  1. 1.School of MechatronicsNorthwestern Polytechnical UniversityXi’anChina
  2. 2.Department of Civil and Mechanical EngineeringUniversity of GlasgowGlasgowUK

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