Show simple item record

dc.contributor.authorBourdin, Blaise
dc.contributor.authorChambolle, Antonin
dc.date.accessioned2011-06-06T08:52:33Z
dc.date.available2011-06-06T08:52:33Z
dc.date.issued2003
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6424
dc.language.isoenen
dc.subjectTopology optimizationen
dc.subjectoptimal designen
dc.subjectdesign-dependent loadsen
dc.subjectΓ-convergenceen
dc.subjectdiffuse interface methoden
dc.subject.ddc514en
dc.titleDesign-dependent loads in topology optimizationen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe present, analyze, and implement a new method for the design of the stiffest structure subject to a pressure load or a given field of internal forces. Our structure is represented as a subset S of a reference domain, and the complement of S is made of two other “phases”, the “void” and a fictitious “liquid” that exerts a pressure force on its interface with the solid structure. The problem we consider is to minimize the compliance of the structure S, which is the total work of the pressure and internal forces at the equilibrium displacement. In order to prevent from homogenization we add a penalization on the perimeter of S. We propose an approximation of our problem in the framework of Γ-convergence, based on an approximation of our three phases by a smooth phase-field. We detail the numerical implementation of the approximate energies and show a few experiments.en
dc.relation.isversionofjnlnameESAIM. COCV
dc.relation.isversionofjnlvol9en
dc.relation.isversionofjnldate2003
dc.relation.isversionofjnlpages19-48en
dc.relation.isversionofdoihttp://dx.doi.org/10.1051/cocv:2002070en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherCambridge University Pressen
dc.subject.ddclabelTopologieen


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record