Engineering Mechanics

Proceedings Vol. 15 (2009)

ENGINEERING MECHANICS 2009

NATIONAL CONFERENCE WITH INTERNATIONAL PARTICIPATION
May 11 – 14, 2009, Svratka, Czech Republic

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Editors: Jiří Náprstek and Cyril Fischer

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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Engineering Mechanics

International Conference

Proceedings Vol. 15 (2009)

ENGINEERING MECHANICS 2009