A variational approach to non-local energy minimization of random elastic lattices

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Samenvatting

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.

Originele taal-2Engels
TitelProceedings of the 12th International Conference on Civil, Structural and Environmental Engineering Computing
RedacteurenB.H.V. Topping
Pagina's2197-2208
ISBN van elektronische versie9781615677276
DOI's
StatusGepubliceerd - 2009
Evenement12th International Conference on Civil, Structural and Environmental Engineering Computing (CC 2009), September 1-4, 2009, Funchal, Madeira, Portugal - Funchal, Madeira, Portugal
Duur: 1 sep 20094 sep 2009

Publicatie series

NaamCivil-Comp Proceedings
UitgeverijCivil-Comp Press
Volume91

Congres

Congres12th International Conference on Civil, Structural and Environmental Engineering Computing (CC 2009), September 1-4, 2009, Funchal, Madeira, Portugal
LandPortugal
StadFunchal, Madeira
Periode1/09/094/09/09

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