Comparaison entre les modèles tridimensionnels et bidimensionnels de plaques en élasticité
Comportement d'une plaque élastique dont une petite région est rigide et animée d'un mouvement vibratoire. Étude asymptotique de la matrice d'impédance
Control in obstacle-pseudoplate problems with friction on the boundary. optimal design and problems with uncertain data
Four optimal design problems and a weight minimization problem are considered for elastic plates with small bending rigidity, resting on a unilateral elastic foundation, with inner rigid obstacles and a friction condition on a part of the boundary. The state problem is represented by a variational inequality and the design variables influence both the coefficients and the set of admissible state functions. If some input data are allowed to be uncertain a new method of reliable solutions is employed....
Control in obstacle-pseudoplate problems with friction on the boundary. approximate optimal design and worst scenario problems
In addition to the optimal design and worst scenario problems formulated in a previous paper [3], approximate optimization problems are introduced, making use of the finite element method. The solvability of the approximate problems is proved on the basis of a general theorem of [3]. When the mesh size tends to zero, a subsequence of any sequence of approximate solutions converges uniformly to a solution of the continuous problem.
Contrôle de l'équation des plaques en présence d'obstacles strictement convexes