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1) LPPR/retraites : Le Laboratoire Jacques Louis Lions soutient la motion du CoNRS (https://www.cnrs.fr/comitenational/struc_coord/cpcn/motions/200117_Motion_LPPR_vf.pdf) (suite...)

Plusieurs postes ouverts au recrutement au Laboratoire Jacques-Louis Lions

Attention postes au fil de l’eau Date limite de candidature : jeudi 5 mars 2020 à 16h

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189 personnes travaillent au LJLL

90 permanents

82 chercheurs et enseignants-chercheurs permanents

8 ingénieurs, techniciens et personnels administratifs

99 personnels non permanents

73 doctorants

14 post-doc et ATER

12 émérites et collaborateurs bénévoles

 

Chiffres mars 2019

 

Heiner Olbermann

Monday 20 January 2020

Heiner Olbermann (Université Catholique de Louvain)
On a quadratic-to-linear Gamma-limit with applications in elasticity

Abstract :
We reconsider the minimization of the compliance of a two- or three-dimensional elastic body for a given weight. It is well known how to rewrite this optimal design problem as a nonlinear variational problem. In order to guarantee the existence of minimizers, the problem has to be relaxed via a suitable quasiconvexification procedure. This has been done by Kohn, Strang and Allaire in the 1980’s. Formally, sending the penalization parameter for the weight to infinity, one obtains a certain L^1-type variational problem, which in engineering goes by the name of Michell truss theory.
In this talk we show how to make this convergence rigorous in the sense of Gamma-convergence. We mention further applications of this analysis in elasticity theory concerning thin elastic shells.