Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys. (Articolo in rivista)

Type
Label
  • Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys. (Articolo in rivista) (literal)
Anno
  • 2002-01-01T00:00:00+01:00 (literal)
Alternative label
  • Stefanelli U. (1) (2002)
    Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys.
    in Mathematics of computation
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Stefanelli U. (1) (literal)
Pagina inizio
  • 1431 (literal)
Pagina fine
  • 1453 (literal)
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  • Impact Factor rivista: 1.015 (literal)
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  • 71 (literal)
Rivista
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  • The mathematical description of the thermo-mechanical evolution of a shape-memory material is indeed a very challenging task. Among the many models that have been proposed in the literature, the so-called Fremond model for shape memory alloys is expected to have a relevant capability of carefully representing the phenomenon. On the other hand, the numerical analysis as well as the computational investigation of such model is still to be fully considered. This paper contributes a first result in the direction of the possible implementation of a discretization technique for the three-dimensional version of the model. (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • (1) IMATI-CNR (literal)
Titolo
  • Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys. (literal)
Abstract
  • This paper deals with a semi-implicit time discretization with variable step of a three-dimensional Frémond model for shape memory alloys. Global existence and uniqueness of a solution is discussed. Moreover, an a priori estimate for the discretization error is recovered. The latter depends solely on data, imposes no constraints between consecutive time steps, and shows an optimal order of convergence when referred to a simplified model. (literal)
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