http://www.cnr.it/ontology/cnr/individuo/prodotto/ID31021
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
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Stefanelli U. (1) (literal)
- Pagina inizio
- Pagina fine
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- Impact Factor rivista: 1.015 (literal)
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- Rivista
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#descrizioneSinteticaDelProdotto
- 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
- 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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