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. © 2008 Elsevier B.V. All rights reserved.

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. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 199(5-8), 314-323 [10.1016/j.cma.2008.06.004].

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

BEIRAO DA VEIGA, LOURENCO
Secondo
;
2010

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. © 2008 Elsevier B.V. All rights reserved.
Articolo in rivista - Articolo scientifico
Incompressible nonlinear elasticity; Mixed finite elements; NURBS-based isogeometric analysis; Stability; Stream function formulation;
English
314
323
10
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. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 199(5-8), 314-323 [10.1016/j.cma.2008.06.004].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/99148
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