Thick fibrous composite reinforcements behave as special second-gradient materials: three-point bending of 3D interlocks

Angela Madeo (1, 2) , Manuel Ferretti (3, 4) , Francesco Dell'Isola (5, 2) , Philippe Boisse (3)

1 LGCIE - Laboratoire de Génie Civil et d'Ingénierie Environnementale
2 M&MoCS - International Research Centre on Mathematics & Mechanics of Complex Systems
3 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
4 UNIVAQ - Università degli Studi dell'Aquila = University of L'Aquila
5 DISG - Dipartimento di Ingegneria Strutturale e Geotecnica

In this paper, we propose to use a second gradient, 3D orthotropic model for the characterization of the mechanical behavior of thick woven composite interlocks. Such second-gradient theory is seen to directly account for the out-of-plane bending rigidity of the yarns at the mesoscopic scale which is, in turn, related to the bending stiffness of the fibers composing the yarns themselves. The yarns' bending rigidity evidently affects the macroscopic bending of the material and this fact is revealed by presenting a three-point ...

Domaines: Mathématiques [math]

Angela Madeo, Manuel Ferretti, Francesco Dell'Isola, Philippe Boisse. Thick fibrous composite reinforcements behave as special second-gradient materials: three-point bending of 3D interlocks. Zeitschrift für Angewandte Mathematik und Physik, 2015, 66 (4), pp.2041-2060. ⟨10.1007/s00033-015-0496-z⟩. ⟨hal-01144230⟩