Modelling the hysteresis composite behavior using an elasto-plasto-damage model with fractional derivatives
Résumé
This paper deals with a new model of an orthotropic elementary ply, which consists of two sub-models. The first one is dedicated to treat the behavior during loading. The elastic and inelastic strainsare computed as well as the in-ply damages. The strain-rate sensitivity can be also taken into account.The second sub-model involves a fractional derivate approach to describe the hysteretic behaviorobserved during unloading/reloading. Instead of using the viscoelastic strain, we express it by afractional derivative. The behavior law requires few parameters. They can be easily identified throughan optimization algorithm from the experimental data. The second sub-model calculates differentquantities of dissipated energy during the unloading. The model is validated for thermoset andthermoplastic composite materials.
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