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REVIEW ARTICLES

Asymptotic approaches in mechanics: New parameters and procedures

[+] Author and Article Information
Igor V Andrianov

Institut für Allegmeine Mechanik, RWTH Aachen, Templergraben 64, D-52056 Aachen, Germany; igor_andrianov@hotmail.com

Jan Awrejcewicz

Technical University of Łódź, Department of Automatics and Biomechanics, 1/15 Stefanowskiego St., 90-924 Łódź, Poland; awrejcew@ck-sg.p.lodz.pl

Rem G Barantsev

St. Petersburg State University, Box 159, 195256, St. Petersburg, Russia; brem@mail.ru

Appl. Mech. Rev 56(1), 87-110 (Jan 15, 2003) (24 pages) doi:10.1115/1.1521436 History: Online January 15, 2003
Copyright © 2003 by ASME
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Figures

Grahic Jump Location
Comparison of numerical and analytical solution results to initial-value problem (4), (5) for different values of n:a) n=3;b) n=21 (the solid line corresponds to the analytical solution, whereas the dashed line corresponds to the numerical calculations)
Grahic Jump Location
Homogenization coefficients
Grahic Jump Location
Homogenized coefficients for square holes
Grahic Jump Location
Homogenized coefficients for circled holes
Grahic Jump Location
A comparison of the results obtained using different analytical methods: a) ε=0.1;b) ε=1

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