The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations (Articolo in rivista)

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  • The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations (Articolo in rivista) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.cma.2008.06.004 (literal)
Alternative label
  • Auricchio F.; Beirao da Veiga L.; Lovadina C.; Reali A. (2010)
    The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations
    in Computer methods in applied mechanics and engineering; Elsevier BV, Amsterdam (Paesi Bassi)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Auricchio F.; Beirao da Veiga L.; Lovadina C.; Reali A. (literal)
Pagina inizio
  • 314 (literal)
Pagina fine
  • 323 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 199 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Meccanica Strutturale, Università di Pavia, Italy Dipartimento di Matematica, Università di Milano, Italy Dipartimento di Matematica, Università di Pavia, Italy IMATI-CNR, Pavia, Italy EUCENTRE, Via Ferrata 1, I-27100, Pavia, Italy (literal)
Titolo
  • The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations (literal)
Abstract
  • In the present paper we investigate the capability of finite element methods to correctly reproduce the stability range of finite strain problems in the incompressible regime. To this end, we develop a numerical scheme, obtained combining a stream function formulation with an isogeometric NURBS approach, which is able to sharply estimate the stability limits of the continuous problem. Using such a method, we show a pair of benchmark problems on which various well-known finite element methods largely fail in approximating the correct stability range. (literal)
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