 A multiscale separated representation to compute the mechanical behavior of composites with periodic microstructureS. Metoui, E. Pruliere, A. Ammar, F. Dau and I. Iordanoff Mathematics and Computers in Simulation (MATCOM), 2018, vol. 144, issue C, 162-181 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. Keywords: Model reduction; Multiscale simulations; Proper Generalized Decomposition; Composite structures (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:144:y:2018:i:c:p:162-181 DOI: 10.1016/j.matcom.2017.07.010 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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