Acta Mechanica Solida Sinica

, Volume 29, Issue 1, pp 59–77 | Cite as

Analytical Solutions for Predicting Tensile and Shear Moduli of Triaxial Weave Fabric Composites

  • Jiangbo Bai
  • Junjiang Xiong
  • Meng Liu
  • Ziyu Man


Novel micromechanical curved beam models were presented for predicting the tensile and shear moduli of triaxial weave fabric (TWF) composites by considering the interactions between the triaxial yarns of 0° and ±60°. The triaxial yarns in micromechanical representative unit cell (RUC) were idealized as curved beams with a path depicted using the sinusoidal shape functions, and the tensile and shear moduli of TWF composites were derived by means of the strain energy approach founded on micromechanics. In order to validate the new models, the predictions were compared with the experimental data from literature. It was shown that the predictions from the new model agree well with the experimental results. Using these models, the tensile and shear properties of TWF composites could be predicted based only on the properties of basic woven fabric.

Key Words

triaxial weave fabric (TWF) composite elastic properties tension modulus shear modulus 



cross-section area of yarns, mm2


width of yarn, mm


transformation variable


transformation variable


elastic modulus of yarn in longitudinal direction, MPa


tension modulus of TWF composites, N/mm


internal force on 0° yarn, N


internal forces on ±60. yarns, N


in-plane shear modulus of yarn, MPa


in-plane shear modulus of TWF composites, N/mm


thickness of yarn, mm


inertia moment of yarn relative to y i axis, mm4


inertia moment of yarn relative to z i axis, mm4


polar inertia moment of yarn, mm4


transformation variable


transformation variable


half undulation length of yarn, mm


bending moment on yarn, Nmm


bending moment on yarn, Nmm


interaction force between angularly interlacing yarns, N


restraining force from yarn torsion along the direction of x i axis, N


restraining force from yarn torsion along the direction of z i axis, N


restraining forces from yarn torsion along the direction of z i axis, N


axial force on yarn in the direction of x i axis, N


external tension force, N


external shear force in longitudinal direction, N


external shear force in transverse direction, N


transformation variable


torque moment on yarn, Nmm


torque moment of yarn, Nmm


tension force per unit length on RUC, N/mm


tension strain of RUC


longitudinal shear force per unit length on RUC, N/mm


transverse shear force per unit length on RUC, N/mm


relative shift of RUC in the direction of external force PT, mm


relative shift of RUC in the direction of external shear force PS1, mm


shear strain of RUC


finite element


representative unit cell


triaxial weave fabric


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2016

Authors and Affiliations

  • Jiangbo Bai
    • 1
  • Junjiang Xiong
    • 1
  • Meng Liu
    • 1
  • Ziyu Man
    • 1
  1. 1.School of Transportation Science and EngineeringBeihang UniversityBeijingChina

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