A simple circular cell method for multilevel finite element analysis

Hossein Talebi, Goangseup Zi, Mohammad Silani, Esteban Samaniego, Timon Rabczuk

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number526846
JournalJournal of Applied Mathematics
Volume2012
DOIs
Publication statusPublished - 2012 Jun 20

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Finite Element
Finite element method
Multiscale Analysis
Cell
Homogenization
Energy
Framework
Standards

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

A simple circular cell method for multilevel finite element analysis. / Talebi, Hossein; Zi, Goangseup; Silani, Mohammad; Samaniego, Esteban; Rabczuk, Timon.

In: Journal of Applied Mathematics, Vol. 2012, 526846, 20.06.2012.

Research output: Contribution to journalArticle

Talebi, Hossein ; Zi, Goangseup ; Silani, Mohammad ; Samaniego, Esteban ; Rabczuk, Timon. / A simple circular cell method for multilevel finite element analysis. In: Journal of Applied Mathematics. 2012 ; Vol. 2012.
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