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Homogenization of fibre composites using X‐FEM
Author(s) -
Kästner Markus,
Ulbricht Volker
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610225
Subject(s) - homogenization (climate) , finite element method , stiffness , representative elementary volume , materials science , composite material , material properties , structural engineering , computer science , mechanical engineering , engineering , biodiversity , ecology , biology
A successful material design process for novel textile reinforced composites requires an integrated simulation of the material behaviour and the estimation of the effective properties used in a macroscopic structural analysis. In this context the Extended Finite Element Method (X‐FEM) is used to model the behavior of materials that show a complex structure on the mesoscale efficiently. A homogenization technique is applied to compute effective macroscopic stiffness parameters. This contribution gives an outline of the implementation of the X‐FEM for complex multi‐material structures. A modelling procedure is presented that allows for the automated generation of an extended finite element model for a specific representative volume element. Furthermore, the problem of branching material interfaces arising from complex textile reinforcement architectures in combination with high fibre volume fractions will be addressed and an appropriate solution is proposed. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)