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.
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.
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Mots-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
@article{CRMECA_2004__332_8_591_0, author = {Susanne Langer and Serguei A. Nazarov and Maria Specovius-Neugebauer}, title = {Artificial boundary conditions on polyhedral truncation surfaces for three-dimensional elasticity systems}, journal = {Comptes Rendus. M\'ecanique}, pages = {591--596}, publisher = {Elsevier}, volume = {332}, number = {8}, year = {2004}, doi = {10.1016/j.crme.2004.03.011}, language = {en}, }
TY - JOUR AU - Susanne Langer AU - Serguei A. Nazarov AU - Maria Specovius-Neugebauer TI - Artificial boundary conditions on polyhedral truncation surfaces for three-dimensional elasticity systems JO - Comptes Rendus. Mécanique PY - 2004 SP - 591 EP - 596 VL - 332 IS - 8 PB - Elsevier DO - 10.1016/j.crme.2004.03.011 LA - en ID - CRMECA_2004__332_8_591_0 ER -
%0 Journal Article %A Susanne Langer %A Serguei A. Nazarov %A Maria Specovius-Neugebauer %T Artificial boundary conditions on polyhedral truncation surfaces for three-dimensional elasticity systems %J Comptes Rendus. Mécanique %D 2004 %P 591-596 %V 332 %N 8 %I Elsevier %R 10.1016/j.crme.2004.03.011 %G en %F CRMECA_2004__332_8_591_0
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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