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

Abstract

International audienceThe 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

Using fractional derivatives for improved viscoelastic modeling of textile composites. Part I: Fabric yarns

“…Krasnobrizha et al. 19 studied the visco-elastoplastic damaged material behavior for woven composites under cyclic loading. They used two models; first, for describing a material behavior during loading path and next, for hysteresis modeling during unloading path, by means of a Riemann-Liouville fractional derivative.…”

Hybrid micromechanical-phenomenological modelling of anisotropic damage and anelasticity induced by micro-cracks in unidirectional composites

“…ii) The evolution equations can be enriched or/and modified in order to account for time dependent behaviours such as visco-damage (Shahsavari et al, 2016), as well as for fatigue analyses (Hochard et al, 2006;Nouri et al, 2009). Moreover, viscoelastic mechanisms could be eventually added through a coupled formulation (Krairi and Doghri, 2014;Krasnobrizha et al, 2016;Praud et al, 2017).…”

Non-linear FE2 multiscale simulation of damage, micro and macroscopic strains in polyamide 66-woven composite structures: Analysis and experimental validation

“…For this reason, several authors have developed several numerical modeling methods in order to understand the behavior of these materials. For example, one can describe the overall behavior of the woven composite in a purely phenomenological aspect Ladeveze and LeDantec (1992); Hochard et al (2001); Puck and Schürmann (2002); Hochard et al (2006); Ruijter (2009); Hochard and Thollon (2010); Krasnobrizha (2015); Krasnobrizha et al (2016); Mahboob et al (2017); Praud (2018). Indeed, the effective properties of the material are calculated by modeling the overall structure, considering the material as a homogeneous without the microstructure effect.…”