@inproceedings{90e1b923a5d74d8e81c138fe38817de7,
title = "A variational approach to non-local energy minimization of random elastic lattices",
abstract = "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.",
keywords = "Energy bounds, Hashin-Shtrikman-Willis variational principles, Random discrete systems, Second-order statistics",
author = "J. Zeman and R.H.J. Peerlings and M.G.D. Geers",
year = "2009",
doi = "10.4203/ccp.91.143",
language = "English",
isbn = "9781905088300",
series = "Civil-Comp Proceedings",
publisher = "Civil-Comp Press",
pages = "2197--2208",
editor = "B.H.V. Topping",
booktitle = "Proceedings of the 12th International Conference on Civil, Structural and Environmental Engineering Computing",
note = "12th International Conference on Civil, Structural and Environmental Engineering Computing (CC 2009), September 1-4, 2009, Funchal, Madeira, Portugal ; Conference date: 01-09-2009 Through 04-09-2009",
}