Dans cette Note, nous proposons une méthode d'éléments finis avec hybridisation frontière pour les problèmes de contact avec frottement. Dans le problème de point-selle discret, les cônes convexes associés aux contraintes normale et tangentielle sont constitués de fonctions continues et affines par morceaux vérifiant des conditions affaiblies de négativité sur la zone de contact. Une estimation a priori optimale est établie dans ce cas. Des essais numériques confirmant les résultats théoriques sont présentés.
In this Note, we propose a finite element method with Lagrange multipliers in order to approximate contact problems with friction. The discretized normal and tangential constraints at the candidate contact interface are expressed by using continuous piecewise linear Lagrange multipliers in the saddle-point formulation. An optimal error estimate is established and several numerical studies corresponding to this choice of the discretized normal and tangential constraints are achieved.
Révisé le :
Publié le :
Laurent Baillet 1 ; Taoufik Sassi 2
@article{CRMATH_2002__334_10_917_0,
author = {Laurent Baillet and Taoufik Sassi},
title = {M\'ethode d'\'el\'ements finis avec hybridisation fronti\`ere pour les probl\`emes de contact avec frottement},
journal = {Comptes Rendus. Math\'ematique},
pages = {917--922},
publisher = {Elsevier},
volume = {334},
number = {10},
year = {2002},
doi = {10.1016/S1631-073X(02)02356-7},
language = {fr},
}
TY - JOUR AU - Laurent Baillet AU - Taoufik Sassi TI - Méthode d'éléments finis avec hybridisation frontière pour les problèmes de contact avec frottement JO - Comptes Rendus. Mathématique PY - 2002 SP - 917 EP - 922 VL - 334 IS - 10 PB - Elsevier DO - 10.1016/S1631-073X(02)02356-7 LA - fr ID - CRMATH_2002__334_10_917_0 ER -
%0 Journal Article %A Laurent Baillet %A Taoufik Sassi %T Méthode d'éléments finis avec hybridisation frontière pour les problèmes de contact avec frottement %J Comptes Rendus. Mathématique %D 2002 %P 917-922 %V 334 %N 10 %I Elsevier %R 10.1016/S1631-073X(02)02356-7 %G fr %F CRMATH_2002__334_10_917_0
Laurent Baillet; Taoufik Sassi. Méthode d'éléments finis avec hybridisation frontière pour les problèmes de contact avec frottement. Comptes Rendus. Mathématique, Volume 334 (2002) no. 10, pp. 917-922. doi : 10.1016/S1631-073X(02)02356-7. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02356-7/
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