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Mixed stabilized finite element methods in nonlinear solid mechanics: part I: formulation

Autor
Cervera, M.; Chiumenti, M.; Codina, R.
Tipus d'activitat
Article en revista
Revista
Computer methods in applied mechanics and engineering
Data de publicació
2010-08
Volum
199
Número
37-40
Pàgina inicial
2559
Pàgina final
2570
DOI
https://doi.org/10.1016/j.cma.2010.04.006 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0045782510001234 Obrir en finestra nova
Resum
This paper exploits the concept of stabilized finite element methods to formulate stable mixed stress/displacement and strain/displacement finite elements for the solution of nonlinear solid mechanics problems. The different assumptions and approximations used to derive the methods are exposed. The proposed procedure is very general, applicable to 2D and 3D problems. Implementation and computational aspects are also discussed, showing that a robust application of the proposed formulation is feas...
Paraules clau
Algebraic sub-grid scales, Mixed finite element interpolations, Nonlinear solid mechanics, Orthogonal sub-grid scales, Stabilization methods
Grup de recerca
(MC)2 - Grup de Mecànica Computacional en Medis Continus
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

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