A dissipative constitutive model for the hysteritical behaviour of a woven composite fabric under large strain

Abstract

Draping composite reinforcement on non-developable shapes necessarily leads to deformations in the plane generating large shears between warp and weft. Energy dissipation appears since the sliding between yarns and between fibers creates friction effect. The theory presented here is a constitutive model describing the dissipative behaviour of a 2D composite woven fabric. The model is based on two innovative points which are the Green - Naghdi additive decomposition for anisotropic material and the theory of nested surfaces according with Mroz studies. Both points lead to define the strong non-linearity of the problem and the hysteretical behaviour during the unloading phase. The dissipation process driven by fibers friction is exclusively associated with the in-plane shear deformation mode. The model is calibrated using standard methods such as the Picture Frame test. This model is also discretised to be integrated in a finite element calculation software.