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A multiscale separated representation to compute the mechanical behavior of composites with periodic microstructure

Article dans une revue avec comité de lecture
Author
METOUI, Sondes
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
164351 Institut de Mécanique et d'Ingénierie de Bordeaux [I2M]
PRULIERE, Etienne
164351 Institut de Mécanique et d'Ingénierie de Bordeaux [I2M]
AMMAR, Amine
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
DAU, Frédéric
164351 Institut de Mécanique et d'Ingénierie de Bordeaux [I2M]
IORDANOFF, Ivan
164351 Institut de Mécanique et d'Ingénierie de Bordeaux [I2M]

URI
http://hdl.handle.net/10985/14855
DOI
10.1016/j.matcom.2017.07.010
Date
2018
Journal
Mathematics and Computers in Simulation

Abstract

The requirements for advanced numerical computations are very high when studying the multiscale behavior of heterogeneous structures such as composites. For the description of local phenomena taking place on the microscopic scale, the computation must involve a fine discretization of the structure. This condition leads to problems with a high number of degrees of freedom that lead to prohibitive computational costs when using classical numerical methods such as the finite element method (FEM). To overcome these problems, this paper presents a new domain decomposition method based on the proper generalized decomposition (PGD) to predict the behavior of periodic composite structures. Several numerical tests are presented. The PGD results are compared with those obtained using the classical finite element method. A very good agreement is observed.

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