A non-orthogonal constitutive model for characterizing woven composites

Pu Xue, Xiongqi Peng, Jian Cao*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

134 Scopus citations


Thermoforming of woven fabric reinforced composites usually results in significant in-plane shear deformation in materials, and induces additional anisotropy into the composite. In this paper, a new constitutive model for characterizing the non-orthogonal material behavior under large deformation is proposed. On the basis of stress and strain analysis in the orthogonal and non-orthogonal coordinates and the rigid body rotation matrices, the relationship between the stresses and strains in the global coordinates is obtained. The equivalent material properties are then determined by fitting the numerical load vs. displacement curves to experimental results under biaxial tension and pure shear conditions. This model can be used to efficiently predict material responses under various loading paths for woven composites with different weave architectures. The geometrical non-linearity and the material non-linearity, as well as the complex redistribution and reorientation of the warp and weft yarns during deformation are taken into account. To demonstrate the performance of this model, numerical simulations using a commercial finite element package (ABAQUS/Standard) incorporated with our material model are conducted for various loading cases. Numerical results are in excellent agreement with experimental data.

Original languageEnglish (US)
Pages (from-to)183-193
Number of pages11
JournalComposites Part A: Applied Science and Manufacturing
Issue number2
StatePublished - Feb 1 2003


  • A. Fabrics/textiles
  • B. Anisotropy
  • B. Mechanical properties
  • C. Finite element analysis (FEA)

ASJC Scopus subject areas

  • Ceramics and Composites
  • Mechanics of Materials

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