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  • 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.
  • 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)
  • K Hashin-Shtrikman-Willisovým variačním principům pro náhodné heterogenní konstrukce (cs)
Title
  • On Hashin-Shtrikman-Willis varitational principles for random heterogenous lattices
  • On Hashin-Shtrikman-Willis varitational principles for random heterogenous lattices (en)
  • K Hashin-Shtrikman-Willisovým variačním principům pro náhodné heterogenní konstrukce (cs)
skos:prefLabel
  • On Hashin-Shtrikman-Willis varitational principles for random heterogenous lattices
  • On Hashin-Shtrikman-Willis varitational principles for random heterogenous lattices (en)
  • K Hashin-Shtrikman-Willisovým variačním principům pro náhodné heterogenní konstrukce (cs)
skos:notation
  • RIV/68407700:21110/09:01155746!RIV09-GA0-21110___
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  • P(GA106/08/1379)
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  • 331395
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  • RIV/68407700:21110/09:01155746
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  • variational bounds; Hashin-Shtrikman-Willis variational principles; spatial statistics (en)
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  • [B57A6025F044]
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  • Svratka
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  • Praha
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  • Engineering Mechanics 2009 - Book of Extended Abstracts
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  • Zeman, Jan
  • Geers, M. G. D.
  • Peerlings, R. H. J.
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number of pages
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  • Ústav teoretické a aplikované mechaniky AV ČR
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  • 978-80-86246-35-2
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  • 21110
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