Journal of Applied Mathematics

A Simple Circular Cell Method for Multilevel Finite Element Analysis

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

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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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 526846, 15 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495126

Digital Object Identifier
doi:10.1155/2012/526846

Mathematical Reviews number (MathSciNet)
MR2923337

Zentralblatt MATH identifier
1244.74132

Citation

Talebi, Hossein; Zi, Goangseup; Silani, Mohammad; Samaniego, Esteban; Rabczuk, Timon. A Simple Circular Cell Method for Multilevel Finite Element Analysis. J. Appl. Math. 2012 (2012), Article ID 526846, 15 pages. doi:10.1155/2012/526846. https://projecteuclid.org/euclid.jam/1355495126


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