Über Torsionsschwingungen von kreisförmigen Platten
Un modèle relaxé pour les câbles inextensibles
Un problème d'optimisation de plaques
Un problème issu de l'étude numérique d'un fil sans raideur soumis au frottement sec
Un théorème d'existence en théorie non linéaire des coques minces
Les équations bidimensionnelles d'une coque non linéairement élastique «en flexion» ont été récemment justifiées par V. Lods et B. Miara par la méthode des développements asymptotiques formels appliquée aux équations de l'élasticité non linéaire tridimensionnelle. Ces équations se mettent sous la forme d'un problème de point critique d'une fonctionnelle dont l'intégrande est une expression quadratique en termes de la différence exacte entre les tenseurs de courbure des surfaces déformée et non déformée,...
Uncertain input data problems and the worst scenario method
An introduction to the worst scenario method is given. We start with an example and a general abstract scheme. An analysis of the method both on the continuous and approximate levels is discussed. We show a possible incorporation of the method into the fuzzy set theory. Finally, we present a survey of applications published during the last decade.
Unconstrained finite element for geometrical nonlinear dynamics of shells.
Une justification de modèles de plaques viscoplastiques
Une justification des équations de la thermoélasticité des poutres à section variable par des méthodes asymptotiques
Une justification d'un modèle non linéaire en théorie des plaques
Une modification du modèle de Mindlin pour les plaques minces en flexion présentant un bord libre
Unicidad local en el equilibrio elástico (piezas longitudinales con leyes no lineales).
Uniform boundary stabilization of a thermoelastic bar with a nonlinear weak damping
Uniform controllability for Kirchhoff and Mindlin-Timoshenko elastic systems.
Uniform controllability for the beam equation with vanishing structural damping
This paper is devoted to studying the effects of a vanishing structural damping on the controllability properties of the one dimensional linear beam equation. The vanishing term depends on a small parameter . We study the boundary controllability properties of this perturbed equation and the behavior of its boundary controls as goes to zero. It is shown that for any time sufficiently large but independent of and for each initial data in a suitable space there exists a uniformly bounded...
Uniform convergence of mixed interpolated elements for Reissner-Mindlin plates
Uniform stabilization of some damped second order evolution equations with vanishing short memory
We consider a damped abstract second order evolution equation with an additional vanishing damping of Kelvin–Voigt type. Unlike the earlier work by Zuazua and Ervedoza, we do not assume the operator defining the main damping to be bounded. First, using a constructive frequency domain method coupled with a decomposition of frequencies and the introduction of a new variable, we show that if the limit system is exponentially stable, then this evolutionary system is uniformly − with respect to the calibration...
Unilateral dynamic contact of von Kármán plates with singular memory
The solvability of the contact problem is proved provided the plate is simply supported. The singular memory material is assumed. This makes it possible to get a priori estimates important for the strong convergence of gradients of velocities of solutions to the penalized problem.
Unilateral elastic subsoil of Winkler's type: Semi-coercive beam problem
The mathematical model of a beam on a unilateral elastic subsoil of Winkler's type and with free ends is considered. Such a problem is non-linear and semi-coercive. The additional assumptions on the beam load ensuring the problem solvability are formulated and the existence, the uniqueness of the solution and the continuous dependence on the data are proved. The cases for which the solutions need not be stable with respect to the small changes of the load are described. The problem is approximated...
Uniqueness of critical points for semi-linear Dirichlet problems in convex domains.