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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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)
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Homogenization coefficients
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Homogenized coefficients for square holes
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Homogenized coefficients for circled holes
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A comparison of the results obtained using different analytical methods: a) ε=0.1;b) ε=1




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