A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies
| Autor: | Vanessa Lleras, Saber Amdouni, Patrick Hild, Maher Moakher, Yves Renard |
|---|---|
| Přispěvatelé: | Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne] (LaMCoS), Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB), Université de Bourgogne (UB)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Centre National de la Recherche Scientifique (CNRS), Institut de Mathématiques et de Modélisation de Montpellier (I3M), Centre National de la Recherche Scientifique (CNRS)-Université Montpellier 2 - Sciences et Techniques (UM2)-Université de Montpellier (UM), Ecole Nationale d'Ingénieurs de Tunis (ENIT), Université de Tunis El Manar (UTM), Institut Camille Jordan [Villeurbanne] (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université Jean Monnet [Saint-Étienne] (UJM)-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2012 |
| Předmět: |
Numerical Analysis
Applied Mathematics Numerical analysis Mathematical analysis Unilateral contact Geometry 010103 numerical & computational mathematics 01 natural sciences Domain (mathematical analysis) Finite element method Physics::Geophysics 010101 applied mathematics Multiplier (Fourier analysis) Computational Mathematics symbols.namesake Approximation error Modeling and Simulation Lagrange multiplier symbols ComputingMethodologies_GENERAL 0101 mathematics [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] Analysis Mathematics Extended finite element method |
| Zdroj: | ESAIM: Mathematical Modelling and Numerical Analysis ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2012, pp.813-839. ⟨10.1051/m2an/2011072⟩ |
| ISSN: | 1290-3841 0764-583X |
| DOI: | 10.1051/m2an/2011072 |
| Popis: | The purpose of this paper is to provide ap riorierror estimates on the approximation of contact conditions in the framework of the eXtended Finite-Element Method (XFEM) for two dimen- sional elastic bodies. This method allows to perform finite-element computations on cracked domains by using meshes of the non-cracked domain. We consider a stabilized Lagrange multiplier method whose particularity is that no discrete inf-sup condition is needed in the convergence analysis. The contact condition is prescribed on the crack with a discrete multiplier which is the trace on the crack of a finite- element method on the non-cracked domain, avoiding the definition of a specific mesh of the crack. Additionally, we present numerical experiments which confirm the efficiency of the proposed method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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