%0 Journal Article %T Random versus periodic microstructures for elasticity of fibers reinforced composites %+ Université de Batna %+ Laboratoire de Mécanique de Lille - FRE 3723 (LML) %+ Université de Lille, Sciences et Technologies %+ Institut de Recherche Dupuy de Lôme (IRDL) %A Bouaoune, L. %A Brunet, Yves %A El Moumen, Ahmed %A Kanit, Toufik %A Mazouzi, H. %< avec comité de lecture %Z ER3 : MaSTR, du matériau à la structure %@ 1359-8368 %J Composites Part B: Engineering %I Elsevier %V 103 %P 68-73 %8 2016-10 %D 2016 %R 10.1016/j.compositesb.2016.08.026 %K Particle-reinforcement %K Microstructures %K Stress concentration %K Finite element analysis %K Fiber reinforced composites %K Periodic microstructures %Z Engineering Sciences [physics]Journal articles %X Homogenization of effective elastic properties of fiber reinforced composites frequently supposed periodic arrangement of fibers because such microstructures allow analytical or low computational cost integrations. Hexagonal frame was often preferred than square one which is strongly anisotropic. In practical situations those periodical microstructures are not realistic. Real microstructures are often random or if they are periodic their boundaries don't fit with the periodic scheme. We studied with the help of finite elements samples that exhibit hexagonal arrangement of fibers embedded in a random distribution. Characteristic length scales of hexagonal area were extracted from observation of stress maps. Principal results are a short scale in which bulk and shear stresses become structured. On the other hand we nether reached a size large enough to observe local stress maps similar to those produced by a periodic model. %G English %L hal-01358967 %U https://hal.science/hal-01358967 %~ UNIV-BREST %~ ENSTA-BRETAGNE %~ CNRS %~ UNIV-UBS %~ UBS %~ ENIB %~ IRDL %~ ENSTA-BRETAGNE-MECA