The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations
Articolo
Data di Pubblicazione:
2010
Citazione:
The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations / F. Auricchio, L. Beirao da Veiga, C. Lovadina, A. Reali. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 199:5-8(2010 Jan), pp. 314-323.
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Incompressible nonlinear elasticity; Mixed finite elements; NURBS-based isogeometric analysis; Stability; Stream function formulation
Elenco autori:
F. Auricchio, L. Beirao da Veiga, C. Lovadina, A. Reali
Link alla scheda completa: