Hysteretic behaviour of fibre-reinforced composites

International audienceThis paper deals with the development of a fractional model for a carbon fibre reinforced composite which includes both in-ply damage and hysteresis under shear loading. Continuum damage mechanics is used to describe in-ply failure behaviour and damage and irreversible strain evolution equations are derived to finally obtain material parameters from experimental data. A fractional model is used to deal with the hysteretic behaviour of the material under in-plane shear stress. The efficiency of this model has been analysed by comparison with experimental data. It has been shown that the model is able to reproduce the damage and hysteretic behaviour of the material with the use of only a few parameters