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

The collaborative model is a new tool to represent visco-elastoplastic damaged material behaviour including hysteresis loops for woven composites under cyclic loading. The model consists of two sub-models. The first one describes a material behaviour during loading path. The elastic and the in-elastic strains as well as the in-ply damage are computed. The second part deals with hysteresis modelling during unloading path using a fractional derivative approach. Just a few parameters are required to represent the hysteresis loops. The material strain-rate effect is also taken into account by two sub-models. The parameters identification methodology is presented and the fractional derivative approximations are detailed. The collaborative model is validated for the woven composite with thermoset and thermoplastic matrixes. The precise estimation of the dissipated energy is possible.