Publications

2016

• Stacking sequence and shape optimization of laminated composite plates via a level-set method
  
  • Allaire Grégoire
  • Delgado Gabriel
  Journal of the Mechanics and Physics of Solids, Elsevier, 2016, 97, pp.168-196. We consider the optimal design of composite laminates by allowing a variable stacking sequence and in-plane shape of each ply. In order to optimize both variables we rely on a decomposition technique which aggregates the constraints into one unique constraint margin function. Thanks to this approach, a rigorous equivalent bi-level optimization problem is established. This problem is made up of an inner level represented by the combinatorial optimization of the stacking sequence and an outer level represented by the topology and geometry optimization of each ply. We propose for the stacking sequence optimization an outer approximation method which iteratively solves a set of mixed integer linear problems associated to the evaluation of the constraint margin function. For the topology optimization of each ply, we lean on the level set method for the description of the interfaces and the Hadamard method for boundary variations by means of the computation of the shape gradient. Numerical experiments are performed on an aeronautic test case where the weight is minimized subject to different mechanical constraints, namely compliance, reserve factor and buckling load.
• Second order analysis of state-constrained control-affine problems
  
  • Aronna Maria Soledad
  • Bonnans J. Frederic
  • Goh Bean San
  Mathematical Programming, Series A, Springer, 2016, 160 (1), pp.115-147. In this article we establish new second order necessary and suffi-cient optimality conditions for a class of control-affine problems with a scalar control and a scalar state constraint. These optimality conditions extend to the constrained state framework the Goh transform, which is the classical tool for obtaining an extension of the Legendre condition.
• Avis en réponse à la saisine HCB - dossier EFSA-GMO-RX-003. Paris, le 9 décembre 2016
  
  • Comité Scientifique Du Haut Conseil Des Biotechnologies .
  • Bagnis Claude
  • Bar-Hen Avner
  • Barny Marie-Anne
  • Berny Philippe
  • Boireau Pascal
  • Brévault Thierry
  • Chauvel Bruno B.
  • Couvet Denis
  • Dassa Elie
  • de Verneuil Hubert
  • Eychenne Nathalie
  • Franche Claudine
  • Guerche Philippe
  • Guillemain Joël
  • Hernandez Raquet Guillermina
  • Jestin André
  • Klonjkowski Bernard
  • Lavielle Marc
  • Le Corre Valérie
  • Lemaire Olivier
  • Lereclus Didier D.
  • Maximilien Rémi
  • Meurs Eliane
  • Naffakh Nadia
  • Négre Didier
  • Noyer Jean-Louis
  • Ochatt Sergio
  • Pages Jean-Christophe
  • Parzy Daniel
  • Regnault-Roger Catherine
  • Renard Michel M.
  • Saindrenan Patrick
  • Simonet Pascal
  • Troadec Marie-Bérengère
  • Vaissière Bernard
  • Vilotte Jean-Luc
  , 2016.
• Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions
  
  • Novikov Roman
  The Journal of Geometric Analysis, Springer, 2016, 26 (1), pp.346-359. We consider phaseless inverse scattering for the Schrödinger equation with compactly supported potential in dimension d ≥ 2. We give explicit formulas for solving this problem from appropriate data at high energies. As a corollary, we give also a global uniqueness result for this problem with appropriate data on a fixed energy neighborhood. (10.1007/s12220-014-9553-7)
  DOI : 10.1007/s12220-014-9553-7
• Korn-Poincare inequalities for functions with a small jump set
  
  • Chambolle Antonin
  • Conti Sergio
  • Francfort Gilles A
  Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2016, 65 (4), pp.1373 - 1399. (10.1512/iumj.2016.65.5852)
  DOI : 10.1512/iumj.2016.65.5852