Shape optimisation with the level set method for contact problems in linearised elasticity - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue SMAI Journal of Computational Mathematics Année : 2017

Shape optimisation with the level set method for contact problems in linearised elasticity

Aymeric Maury
  • Fonction : Auteur
  • PersonId : 1007635
François Jouve

Résumé

This article is devoted to shape optimisation of contact problems in linearised elasticity, thanks to the level set method. We circumvent the shape non-differentiability, due to the contact boundary conditions, by using penalised and regularised versions of the mechanical problem. This approach is applied to five different contact models: the frictionless model, the Tresca model, the Coulomb model, the normal compliance model and the Norton-Hoff model. We consider two types of optimisation problems in our applications: first, we minimise volume under a compliance constraint, second, we optimise the normal force, with a volume constraint, which is useful to design compliant mechanisms. To illustrate the validity of the method, 2D and 3D examples are performed, the 3D examples being computed with an industrial software.
Fichier principal
Vignette du fichier
art_smaipack_vers15.pdf (2.25 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01435325 , version 1 (13-01-2017)
hal-01435325 , version 2 (18-10-2017)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

Citer

Aymeric Maury, Grégoire Allaire, François Jouve. Shape optimisation with the level set method for contact problems in linearised elasticity. SMAI Journal of Computational Mathematics, 2017, 3, pp.249-292. ⟨10.5802/smai-jcm.27⟩. ⟨hal-01435325v2⟩
1173 Consultations
843 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More