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Numerical homogenization of composite structures with rhombic fiber arrangements
Author(s) -
Würkner Mathias,
Berger Harald,
Gabbert Ulrich
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110269
Subject(s) - homogenization (climate) , orthotropic material , transverse isotropy , representative elementary volume , isotropy , materials science , finite element method , stiffness , composite material , boundary value problem , periodic boundary conditions , composite number , fiber reinforced composite , fiber , anisotropy , mathematical analysis , mathematics , structural engineering , microstructure , physics , optics , biodiversity , ecology , engineering , biology
A numerical procedure is developed to determine effective material properties of unidirectional fiber reinforced composites with rhombic fiber arrangements. With the assumption of a periodic micro structure a representative volume element (RVE) is considered, where the phases have isotropic or transversely isotropic material characterizations. The interface between the phases is treated as perfect. The procedure handles the primary non‐rectangular periodicity with homogenization techniques based on finite element models. Due to appropriate boundary conditions applied to the RVE elastic effective coefficients are derived. Six different boundary condition states are required to get all coefficients of the stiffness tensor. Results are listed and compared with other publications and good agreements are shown. Furthermore new results are presented, which exhibit the orthotropic behavior of such composites caused by the rhombic fiber arrangement. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)