http://www.cnr.it/ontology/cnr/individuo/prodotto/ID31456
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)
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- Auricchio F.; Beirao da Veiga L.; Lovadina C.; Reali A. (literal)
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- 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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