Two-Scale Algorithm for Computing the Approximation of the Displacement in Periodic Perforated Structure of Composites

Article Preview

Abstract:

By means of two-scale method, the approximation solution of the displacement for structure of composites with small periodic perforated configuration is built, and the algorithm corresponding to two-scale finite element method is presented. One new method of higher order for computing approximate solution of the displacement in periodic perforated composites is given.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 374-377)

Pages:

1226-1229

Citation:

Online since:

October 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] O.A. Oleinik, A.S. Shamaev and G.A. Yosifian, Mathematical Problems in Elasticity and Homogenization, North—Holland: Amsterdan, 1992:230-250.

Google Scholar

[2] X. Wang and L.Q. Cao, The hole-filling method and the uniform multiscale computation of the elastic equations in perforated domains, Int. J. Numer. Anal. Model, Vol.5( 2008), p.612–634.

Google Scholar

[3] L.Q. Cao, Multiscale asymptotic expansion and finite element methods for the mixed boundary value problems of second order elliptic equation in perforated domains, Numer.Math., Vol.103(2006), p.11–45.

DOI: 10.1007/s00211-005-0668-4

Google Scholar

[4] J.Z. Cui and T.M. Shin, The two-scale analysis method for bodies with small periodic configurations, Struct. Engineering and Mechanics, Vol.6(1999),pp.601-614.

DOI: 10.12989/sem.1999.7.6.601

Google Scholar

[5] M.X. Deng and Y.P. Feng, Multi-scale FE computation of elastic problem for perforated domain with small periodic configuration, Journal of Guangzhou University(Natural Science Edition), Vol.7(2008),pp.7-11. (In Chinese)

Google Scholar

[6] Y.P. Feng, J.Z. Cui and M.X. Deng, The two-scale finite element computation for thermoelastic problem in periodic perforated domain, Acta Physica Sinica ,Vol.58(2009), p.s327–s337.

Google Scholar