Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys (Articolo in rivista)

Type
Label
  • Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s00161-011-0221-x (literal)
Alternative label
  • Frigeri S., Stefanelli U. (2012)
    Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys
    in Continuum mechanics and thermodynamics (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Frigeri S., Stefanelli U. (literal)
Pagina inizio
  • 63 (literal)
Pagina fine
  • 77 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://link.springer.com/article/10.1007%2Fs00161-011-0221-x (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 24 (literal)
Rivista
Note
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Matematica 'F. Casorati', Università di Pavia, Italy; IMATI - CNR, Pavia, Italy; WIAS, Berlin, Germany (literal)
Titolo
  • Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys (literal)
Abstract
  • We prove the global existence of solutions for a shape-memory alloys constitutive model at finite strains. The model has been presented in Evangelista et al. (Int J Numer Methods Eng 81(6):761-785, 2010) and corresponds to a suitable finite-strain version of the celebrated Souza-Auricchio model for SMAs (Auricchio and Petrini in Int J Numer Methods Eng 55:1255-1284, 2002; Souza et al. in J Mech A Solids 17:789-806, 1998). We reformulate the model in purely variational fashion under the form of a rate-independent process. Existence of suitably weak (energetic) solutions to the model is obtained by passing to the limit within a constructive time-discretization procedure. (literal)
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