Comptes Rendus
no. 8
Artificial boundary conditions on polyhedral truncation surfaces for three-dimensional elasticity systems
[Conditions aux limites artificielles sur des surfaces polyhédrales de troncature pour des systèmes d'élasticité tridimensionalle]

Présenté par : Évariste Sanchez-Palencia

Susanne Langer1  ; Serguei A. Nazarov2  ; Maria Specovius-Neugebauer1
1 Fachbereich 17, Mathematik/Informatik, University of Kassel, Heinrich-Plett-Str. 40, 34132 Kassel, Germany
2 Institute of Mechanical Engeneering Problems, V.O. Bol'schoy Pr. 61, 199178 St. Petersburg, Russia
Comptes Rendus. Mécanique, Volume 332 (2004) no. 8, pp. 591-596.

Pour un problème extérieur en trois dimensions dans le cadre de l'élasticité anisitrope, on construit des conditions au bord artificielles sur une surface de troncature polyhédrale. Ces conditions ne nécessitent pas une formule explicite pour la matrice fondamentale. On étudie ensuite une méthode permettant d'adapter la forme de la surface de troncature à la forme de cavité.

For a three-dimensional exterior problem in the framework of anisotropic elasticity, artificial boundary conditions are constructed on a polyhedral truncation surface. These conditions do not need an explicit formula for the fundamental matrix. An approach to adapt the shape of truncation surfaces to the shape of the enclosed cavity is discussed.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2004.03.011
Keywords: Computational solid mechanics, Elasticity, Polyhedral truncation surfaces, Artificial boundary conditions
Mot clés : Mécanique des solides numérique, Élasticité, Surfaces polyhédrales de troncature, Conditions aux limites artificielles
Susanne Langer 1 ; Serguei A. Nazarov 2 ; Maria Specovius-Neugebauer 1

1 Fachbereich 17, Mathematik/Informatik, University of Kassel, Heinrich-Plett-Str. 40, 34132 Kassel, Germany
2 Institute of Mechanical Engeneering Problems, V.O. Bol'schoy Pr. 61, 199178 St. Petersburg, Russia 
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Susanne Langer; Serguei A. Nazarov; Maria Specovius-Neugebauer. Artificial boundary conditions on polyhedral truncation surfaces for three-dimensional elasticity systems. Comptes Rendus. Mécanique, Volume 332 (2004) no. 8, pp. 591-596. doi : 10.1016/j.crme.2004.03.011. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.03.011/

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