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 t...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/526846 |
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| _version_ | 1832567877976195072 |
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| author | Hossein Talebi Goangseup Zi Mohammad Silani Esteban Samaniego Timon Rabczuk |
| author_facet | Hossein Talebi Goangseup Zi Mohammad Silani Esteban Samaniego Timon Rabczuk |
| author_sort | Hossein Talebi |
| collection | DOAJ |
| description | 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 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. |
| format | Article |
| id | doaj-art-87205dd60f9945558a3844b4333ebd04 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-87205dd60f9945558a3844b4333ebd042025-02-03T01:00:21ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/526846526846A Simple Circular Cell Method for Multilevel Finite Element AnalysisHossein Talebi0Goangseup Zi1Mohammad Silani2Esteban Samaniego3Timon Rabczuk4Bauhaus-University Weimar, Marien-Str. 15, 99423 Weimar, GermanyDepartment of Civil, Environmental and Architectural Engineering, Korea University, 5 Ga 1, Anamdong, Seongbuk-gu, Seoul 136-701, Republic of KoreaDepartment of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, IranCivil Engineering School and Grupo de Ciencias de la Tierra y el Ambiente, Universidad de Cuenca, Av. 12 de Abril s/n., Cuenca, EcuadorBauhaus-University Weimar, Marien-Str. 15, 99423 Weimar, GermanyA 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.http://dx.doi.org/10.1155/2012/526846 |
| spellingShingle | Hossein Talebi Goangseup Zi Mohammad Silani Esteban Samaniego Timon Rabczuk A Simple Circular Cell Method for Multilevel Finite Element Analysis Journal of Applied Mathematics |
| title | A Simple Circular Cell Method for Multilevel Finite Element Analysis |
| title_full | A Simple Circular Cell Method for Multilevel Finite Element Analysis |
| title_fullStr | A Simple Circular Cell Method for Multilevel Finite Element Analysis |
| title_full_unstemmed | A Simple Circular Cell Method for Multilevel Finite Element Analysis |
| title_short | A Simple Circular Cell Method for Multilevel Finite Element Analysis |
| title_sort | simple circular cell method for multilevel finite element analysis |
| url | http://dx.doi.org/10.1155/2012/526846 |
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