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

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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.

Original languageEnglish
Title of host publicationProceedings of the 12th International Conference on Civil, Structural and Environmental Engineering Computing
EditorsB.H.V. Topping
Pages2197-2208
ISBN (Electronic)9781615677276
DOIs
Publication statusPublished - 2009
Event12th International Conference on Civil, Structural and Environmental Engineering Computing (CC 2009), September 1-4, 2009, Funchal, Madeira, Portugal - Funchal, Madeira, Portugal
Duration: 1 Sep 20094 Sep 2009

Publication series

NameCivil-Comp Proceedings
PublisherCivil-Comp Press
Volume91

Conference

Conference12th International Conference on Civil, Structural and Environmental Engineering Computing (CC 2009), September 1-4, 2009, Funchal, Madeira, Portugal
CountryPortugal
CityFunchal, Madeira
Period1/09/094/09/09

Keywords

  • Energy bounds
  • Hashin-Shtrikman-Willis variational principles
  • Random discrete systems
  • Second-order statistics

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