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

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 fiberfiber 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.

Material Modelling of Fabric Deformation in Forming Simulation of Fiber-Metal Laminates – A Review on Modelling Fabric Coupling Mechanisms

“…There have been no published studies on the material behavior of fabrics under in-plane compressive loading. Various publications report that the compressive stiffness is very low compared to the tensile stiffness, which is why it is assumed to be almost zero in many numerical calculations [14,15,16,17,18].…”

“…In each case, the tensiledependent components of the distortion energy density depend only on the elongation in the fiber direction, and the shear-dependent component is determined by an invariant associated with the shear angle. The parameters of the individual components are determined by means of uniaxial tensile tests and picture frame tests [17,30,31]. Based on these publications, further work has extended the model to include the influence of viscous matrix [15,32], the biaxial coupling of the tensile-dependent components [33,34,35], and the tension-shear coupling [18,32,36].…”

Characterization of multilayered carbon-fiber–reinforced thermoplastic composites for assembly process

“…Several authors were successful to implement strain–energy functions into Abaqus through the UMAT subroutine. 17,19,24,25 In this article, the material models in equations (16) and (17) were implemented in Abaqus/Standard using the UMAT procedure. Abaqus requires only components of the Cauchy stress and the tangent stiffness matrix.…”

Modelling the deformability of biaxial non-crimp fabric composites

“…Several other models developed for woven fabrics have been proposed, which could potentially be adapted in modelling NCFs (e.g. Aimene et al , 2008;2010;Xue et al , 2003;Lee et al , 2008;Peng et al , 2010). Also, another consideration when modelling the forming of biaxial fabrics that has been discussed in the literature, but not in this chapter, is the numerical problem of element locking that can occur when the fi bre directions of the fabric are not aligned with the mesh (Yu et al , 2006;Thije and Akkerman 2008;.…”