A new modeling approach for planar beams: finite-element solutions based on mixed variational derivations (Articolo in rivista)

Type
Label
  • A new modeling approach for planar beams: finite-element solutions based on mixed variational derivations (Articolo in rivista) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.2140/jomms.2010.5.771 (literal)
Alternative label
  • Auricchio, Ferdinando; Balduzzi, Giuseppe; Lovadina, Carlo (2010)
    A new modeling approach for planar beams: finite-element solutions based on mixed variational derivations
    in Journal of mechanics of materials and structures (Online)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Auricchio, Ferdinando; Balduzzi, Giuseppe; Lovadina, Carlo (literal)
Pagina inizio
  • 771 (literal)
Pagina fine
  • 794 (literal)
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  • 5 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 24 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 5 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Meccanica Strutturale (DMS), Università degli Studi di Pavia, Via Ferrata 1, 27100 Pavia, Italy; European Centre for Training and Research in Earthquake Engineering (EUCENTRE), Pavia, Italy; Istituto di Matematica Applicata e Tecnologie Informatiche (IMATI), CNR, Pavia, Italy; Centro di Simulazione Numerica Avanzata (CeSNA), IUSS, Pavia, Italy; Dipartimento di Matematica \"Felice Casorati\", Università degli Studi di Pavia, via Ferrata 1, 27100 Pavia Italy (literal)
Titolo
  • A new modeling approach for planar beams: finite-element solutions based on mixed variational derivations (literal)
Abstract
  • This paper illustrates a new modeling approach for planar linear elastic beams. Referring to existing models, we first introduce the variational principles that could be adopted for the beam model derivation, discussing their relative advantages and disadvantages. Then, starting from the Hellinger-Reissner functional we derive some homogeneous and multilayered beam models, discussing some properties of their analytical solutions. Finally, we develop a planar beam finite element, following an innovative approach that could be seen as the imposition of equilibrium in the cross-section and compatibility along the axis. The homogeneous model is capable of reproducing the behavior of the Timoshenko beam, with the advantage that the shear correction factor appears naturally from the variational derivation; the multilayered beam is capable of capturing the local effects produced by boundary constraints and load distributions; the finite element is capable of predicting the cross-section stress distribution with high accuracy, and more generally the behavior of planar structural elements. (literal)
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