Engineering Mechanics

International Conference

Proceedings Vol. 15 (2009)


May 11 – 14, 2009, Svratka, Czech Republic
Editors: Jiří Náprstek and Cyril Fischer

Copyright © 2009 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-86246-35-2 (printed, Extended Abstracts)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

On Hashin-Shtrikman-Willis variational principles for random heterogeneous lattices
J. Zeman, R.H.J. Peerlings, M.G.D. Geers
pages 1503 - 1512, full text

The purpose of this paper is to establish variational principles for the mechanical behavior of two-phase random elastic lattices. By restricting the attention to the systems characterized by second-order statistics, the variational bounds on the stored energy of the Hashin-Shtrikman-Willis type are established using basic tools of structural statics and linear algebra. Accuracy of the improved bounds is verified against elementary estimates as well as detailed Monte-Carlo simulations. Finally, selected numerical results related to the accuracy of the bounds are presented.

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All papers were reviewed by members of the scientific committee.

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