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A Simple Circular Cell Method for Multilevel Finite Element Analysis

Authors
Talebi, HosseinZi, GoangseupSilani, MohammadSamaniego, EstebanRabczuk, Timon
Issue Date
2012
Publisher
HINDAWI PUBLISHING CORPORATION
Citation
JOURNAL OF APPLIED MATHEMATICS
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF APPLIED MATHEMATICS
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/134196
DOI
10.1155/2012/526846
ISSN
1110-757X
1687-0042
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.
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