New rectangular plate elements based on twist-Kirchhoff theory (Articolo in rivista)

Type
Label
  • New rectangular plate elements based on twist-Kirchhoff theory (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.cma.2011.04.012 (literal)
Alternative label
  • Brezzi F., Evans J.A., Hughes T.J.R., Marini L.D. (2011)
    New rectangular plate elements based on twist-Kirchhoff theory
    in Computer methods in applied mechanics and engineering
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Brezzi F., Evans J.A., Hughes T.J.R., Marini L.D. (literal)
Pagina inizio
  • 2547 (literal)
Pagina fine
  • 2561 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 200 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
  • Scopus (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto Universitario di Studi Superiori, Pavia; Istituto di Matematica Applicata e Tecnologie Informatiche del C.N.R., Pavia; Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, U.S.A.; Dipartimento di Matematica, Universit√† di Pavia. (literal)
Titolo
  • New rectangular plate elements based on twist-Kirchhoff theory (literal)
Abstract
  • We introduce a new framework for the development of thin plate finite elements, the \"twist-Kirchhoff theory\". A family of rectangular plate elements is derived that takes advantage of the special structure of this new theory. Particular attention is focused on the lowest-order member of the family, an eight degree-of-freedom, four-node element with mid-side rotations whose stiffness matrix is exactly computed with one-point Gaussian quadrature. We prove a convergence theorem for it and various error estimates. These are also generalized to the higher-order elements in the family. Numerical tests corroborate the theoretical results. (literal)
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