. "331395" . "K Hashin-Shtrikman-Willisov\u00FDm varia\u010Dn\u00EDm princip\u016Fm pro n\u00E1hodn\u00E9 heterogenn\u00ED konstrukce"@cs . . "Svratka" . "K Hashin-Shtrikman-Willisov\u00FDm varia\u010Dn\u00EDm princip\u016Fm pro n\u00E1hodn\u00E9 heterogenn\u00ED konstrukce"@cs . "978-80-86246-35-2" . . . "2009-06-11+02:00"^^ . "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." . "21110" . . "[B57A6025F044]" . "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."@en . "On Hashin-Shtrikman-Willis varitational principles for random heterogenous lattices"@en . "P(GA106/08/1379)" . "RIV/68407700:21110/09:01155746" . . . . "variational bounds; Hashin-Shtrikman-Willis variational principles; spatial statistics"@en . "2"^^ . . "Zeman, Jan" . "RIV/68407700:21110/09:01155746!RIV09-GA0-21110___" . . "On Hashin-Shtrikman-Willis varitational principles for random heterogenous lattices" . "1"^^ . . "On Hashin-Shtrikman-Willis varitational principles for random heterogenous lattices" . "3"^^ . . "Engineering Mechanics 2009 - Book of Extended Abstracts" . "On Hashin-Shtrikman-Willis varitational principles for random heterogenous lattices"@en . . . "Geers, M. G. D." . . "Peerlings, R. H. J." . "Praha" . . "K Hashin-Shtrikman-Willisov\u00FDm varia\u010Dn\u00EDm princip\u016Fm pro n\u00E1hodn\u00E9 heterogenn\u00ED konstrukce"@cs . "\u00DAstav teoretick\u00E9 a aplikovan\u00E9 mechaniky AV \u010CR" .