Regularized BIE formulations for first- and second-order shape sensitivity of elastic fields. - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Computers & Structures Année : 1995

Regularized BIE formulations for first- and second-order shape sensitivity of elastic fields.

Marc Bonnet

Résumé

The subject of this paper is the formulation of boundary integral equations for first- and second-order shape sensitivities of boundary elastic fields in three-dimensional bodies. Here the direct differentiation approach is considered. It relies on the repeated application of the material derivative concept to the governing regularized (i.e. weakly singular) displacement boundary integral equation (RDBIE) for an elastostatic state on a given domain. As a result, governing BIEs, which are also weakly singular, are obtained for the elastic sensitivities up to the second order. They are formulated so as to allow a straightforward implementation; in particular no strongly singular integral is involved. It is shown that the actual computation of shape sensitivities using usual BEM discretization uses the already built and factored discrete integral operators and needs only to set up additional right-hand sides and additional backsubstitutions. Some relevant discretization aspects are discussed.
Fichier principal
Vignette du fichier
cs95_ms.pdf (247.02 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00092367 , version 1 (09-08-2008)

Identifiants

Citer

Marc Bonnet. Regularized BIE formulations for first- and second-order shape sensitivity of elastic fields.. Computers & Structures, 1995, 56, pp.799-811. ⟨10.1016/0045-7949(95)00009-6⟩. ⟨hal-00092367⟩
318 Consultations
247 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More