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A simple circular cell method for multilevel finite element analysis

  • A simple multiscale analysis framework for heterogeneous solids based on a computational homogenization technique is presented. The macroscopic strain is linked kinematically to the boundary displacement of a circular or spherical representative volume which contains the microscopic information of the material. The macroscopic stress is obtained from the energy principle between the macroscopicA simple multiscale analysis framework for heterogeneous solids based on a computational homogenization technique is presented. The macroscopic strain is linked kinematically to the boundary displacement of a circular or spherical representative volume which contains the microscopic information of the material. The macroscopic stress is obtained from the energy principle between the macroscopic scale and the microscopic scale. This new method is applied to several standard examples to show its accuracy and consistency of the method proposed.show moreshow less

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Metadaten
Document Type:Article
Author: Hossein Talebi, Goangseup Zi, Mohammad Silani, Esteban SamaniegoORCiD, Timon RabczukORCiDGND
DOI (Cite-Link):https://doi.org/10.1155/2012/526846Cite-Link
URN (Cite-Link):https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20170426-31639Cite-Link
Parent Title (English):Journal of Applied Mathematics
Language:English
Date of Publication (online):2017/04/26
Year of first Publication:2012
Release Date:2017/04/26
Publishing Institution:Bauhaus-Universität Weimar
Institutes and partner institutions:Fakultät Bauingenieurwesen / Institut für Strukturmechanik (ISM)
GND Keyword:Finite-Elemente-Methode; Feststoff
Dewey Decimal Classification:600 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften
BKL-Classification:50 Technik allgemein / 50.31 Technische Mechanik
54 Informatik / 54.80 Angewandte Informatik
Licence (German):License Logo Creative Commons 4.0 - Namensnennung (CC BY 4.0)