A Rate Dependent Constitutive Model for Carbon-Fiber Reinforced Plastic Woven Fabrics

Abstract

International audienceThis paper deals with the modelling until rupture of composite structures made of glass-fibre / epoxy-resin woven fabrics submitted to dynamic loadings. The model is built at the mesoscale of the elementary ply. It takes into account the slightly nonlinear brittle behaviour of the fibres under tensile sollicitations, their nonlinear behaviour in compression as well as the strongly non linear and irreversible behaviour of the ply in shear. Strain rate effects are also introduced and special attention is paid to the objectivity of the model in the context of finite element calculation. Therefore the choice of a delayed damage mesomodel coupled with viscoplasticity is made. In order to identify the values of the parameters of the model, an optimization procedure based on a gradient-free direct search method has been developed. As a logical proceeding to this study, the model ability to avoid strain localization and mesh dependence is then checked on simple uniaxial examples. The last part of this paper is devoted to structural calculation. The results of the simulations of both the impact on composite plate and the crushing of thin-walled tube demonstrate the capability of the model to reproduce observed physical phenomena

Modeling of Impacts on Sandwich Structures

“…where σ 0 is the plastic strength and R is the hardening's dual variable of the cumulated plastic strain p. Indeed, by the derivative of the free energy and according to [16], the hardening variable can be written as (8): with K plas and β two material parameters obtained from tensile tests on ±45 • oriented woven fabrics. A plastic correction is carried out using a Newton-Raphson iterative scheme.…”

Hysteresis behaviour modelling of woven composite using a collaborative elastoplastic damage model with fractional derivatives

“…Furthermore, the polymer matrix composites have the viscoelastic behaviour due to the nature of matrix and this behaviour is evident in the material's strain-rate sensibility. The dependence of a material's strain rate sensitivity on the viscoelastic effects was first taken into account in the works [9][10][11] for the unidirectional composites and in the works [12][13][14] for the woven composites.…”

“…However, the coupling between the cyclic loading damages and the viscoelastic effects has not been considered in the classical damage modelling [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. It must be highlighted that the damage propagation is strongly linked with the material energy dissipation and, thus, with the hysteresis loops appearance.…”

Numerical Simulation of Mechanical Behavior of Woven Composite at Different Strain Rate by a Collaborative Elasto-Plasto-Damage Model With Fractional Derivatives

“…The experimental data shows irreversible strains appearance mainly in shear [3,4,5,6]. Thus, plastic flow is considered to be blocked in fiber directions:…”

“…These models take into account the damage propagation and the in-elastic strains appearing commonly in the shear and transverse directions. The strain rate dependent models were developed for unidirectional composites [4,5] and for woven fabrics [6].…”