期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 199, 期 5-8, 页码 314-323出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2008.06.004
关键词
Incompressible nonlinear elasticity; Stability; NURBS-based isogeometric analysis; Stream function formulation; Mixed finite elements
资金
- Regione Lombardia through the INGENIO [A0000800]
- Ministero dell'Universita e della Ricerca (MiUR) through the PRIN [2006083795]
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. (C) 2008 Elsevier B.V. All rights reserved.
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