Étude de la stabilité d'une formulation incompressible traitée par X-FEM
| Autor: | Antonio Huerta, Grégory Legrain, Nicolas Moës |
|---|---|
| Přispěvatelé: | Institut de Recherche en Génie Civil et Mécanique (GeM), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS), Laboratori de Càlcul Numèric (LACAN) (LaCàN), Universitat Politècnica de Catalunya [Barcelona] (UPC), Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Finite element method
Engineering Civil Thermodynamics Engineering Multidisciplinary 02 engineering and technology X-FEM Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC] 01 natural sciences [SPI.MAT]Engineering Sciences [physics]/Materials 0203 mechanical engineering Engineering Ocean 0101 mathematics Engineering Aerospace Engineering Biomedical ComputingMilieux_MISCELLANEOUS Physics Mechanical Engineering [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] Computer Science Software Engineering Partition of unity Elements finits Mètode dels -- Mecànica de fluids Engineering Marine Incompressibility 010101 applied mathematics Engineering Manufacturing Engineering Mechanical 020303 mechanical engineering & transports Holes Mechanics of Materials Modeling and Simulation Engineering Industrial Mixed formulation Inf-sup condition |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) Scipedia Open Access Scipedia SL Revue Européenne des Elements Finis, numéro spécial Giens 2005 Revue Européenne des Elements Finis, numéro spécial Giens 2005, 2006, 15, pp.257-268. ⟨10.3166/remn.15.257-268⟩ Recercat. Dipósit de la Recerca de Catalunya instname Revue Européenne des Éléments Finis Revue Européenne des Éléments Finis, HERMÈS / LAVOISIER, 2006, 15 (Numéro spécial GIENS 2005), pp.257-268. ⟨10.3166/remn.15.257-268⟩ |
| ISSN: | 1250-6559 2576-6023 |
| DOI: | 10.3166/remn.15.257-268⟩ |
| Popis: | The treatment of (near-)incompressibility is a major concern for the simulation of rubber-like parts, or forming processes. The use of mixed finite element methods is known to prevent the locking of the F.E. approximation in the incompressible limit. However, the stability of these formulations is conditionned by the fullfilment of the inf-sup condition. Recently, finite elements method has evolved with the introduction of the partition of unity. The X-FEM uses it to remove the need to mesh (and remesh) physical surfaces. In this paper, a strategy is proposed for the treatment of holes within X-FEM in the incompressible setting. Numerical examples show that F.E. convergence rate is preserved and that the inf-sup condition is passed. |
| Databáze: | OpenAIRE |
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