A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies

Saber Amdouni; Patrick Hild; Vanessa Lleras; Maher Moakher; Yves Renard

HAL: hal-00606313, version 1

A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies
Amdouni S., Hild P., Lleras V., Moakher M., Renard Y.
http://hal.archives-ouvertes.fr/hal-00606313

Publication type:

Preprint, Working Paper, ...

Subject:

Mathematics/Numerical Analysis

Title:

A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies

Author(s):

Saber Amdouni ¹, Patrick Hild (

) ², Vanessa Lleras ³, Maher Moakher ⁴, Yves Renard (

) ^1, 5

Laboratory:

1:	Laboratoire de Mécanique des Contacts et des Structures (LaMCoS)

	http://lamcos.insa-lyon.fr/

	CNRS : UMR5259 – Institut National des Sciences Appliquées (INSA) - Lyon

	Bâtiment Jean d'Alembert 18-20, rue des Sciences F69621 VILLEURBANNE CEDEX

	France

2:	Laboratoire de Mathématiques (LM-Besançon)

	http://www-math.univ-fcomte.fr/

	CNRS : UMR6623 – Université de Franche-Comté

	UFR Sciences et techniques 16 route de Gray 25 030 Besançon cedex

	France

3:	Institut de Mathématiques et de Modélisation de Montpellier (I3M)

	http://www.math.univ-montp2.fr/

	CNRS : UMR5149 – Université Montpellier II - Sciences et techniques

	Case Courrier 051 Place Eugène Bataillon 34095 MONTPELLIER CEDEX 5

	France

4:	Ecole Nationale d'Ingénieurs de Tunis (ENIT)

	Ecole Nationale d'Ingénieurs de Tunis

	BP 37, LE BELVEDERE 1002 TUNIS

	Tunisia

5:	Institut Camille Jordan (ICJ)

	CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon

	Bât. Jean Braconnier n° 101 43 Bd du 11 novembre 1918 69622 VILLEURBANNE CEDEX

	France

Abstract:

The purpose of this paper is to provide a priori error estimates on the approximation of contact conditions in the framework of the eXtended Finite-Element Method (XFEM). This method allows to perform nite-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 nite-element method on the non-cracked domain, avoiding the de nition of a speci c mesh of the crack. Additionally, we present numerical experiments which con rm the e ciency of the proposed method

Fulltext language:

English

Production date:

2011-06-24

Attached file list to this document:

PDF

contact_xfem26.pdf

(2.6 MB)


hal-00606313, version 1
http://hal.archives-ouvertes.fr/hal-00606313
oai:hal.archives-ouvertes.fr:hal-00606313
From: Aurélie Reymond <>
Submitted on: Wednesday, 6 July 2011 08:48:53
Updated on: Wednesday, 6 July 2011 09:45:08