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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.…
Document Type: | Article |
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Author: | Hossein Talebi, Goangseup Zi, Dr. Mohammad Silani, Esteban SamaniegoORCiD, Timon RabczukORCiDGND |
DOI (Cite-Link): | https://doi.org/10.1155/2012/526846Cite-Link |
Parent Title (English): | Journal of Applied Mathematics |
Language: | English |
Date of Publication (online): | 2017/08/26 |
Year of first Publication: | 2012 |
Release Date: | 2017/08/26 |
Publishing Institution: | Bauhaus-Universität Weimar |
Institutes and partner institutions: | Fakultät Bauingenieurwesen / Institut für Strukturmechanik (ISM) |
GND Keyword: | Angewandte Mathematik; Strukturmechanik |
Dewey Decimal Classification: | 600 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften |
500 Naturwissenschaften und Mathematik / 510 Mathematik / 519 Wahrscheinlichkeiten, angewandte Mathematik | |
BKL-Classification: | 31 Mathematik / 31.80 Angewandte Mathematik |
50 Technik allgemein / 50.31 Technische Mechanik | |
Licence (German): | Copyright All Rights Reserved - only metadata |