Asymptotic behavior for a dissipative plate equation in with periodic coefficients.
Asymptotic behavior of solutions on a thin plastic plate.
Asymptotic solution of the theory of shell boundary value problem.
Bending analysis of functionally graded plates in the context of different theories of thermoelasticity.
Bending of a cusped plate on an elastic foundation.
Bifurcation in the solution set of the von Kármán equations of an elastic disk lying on an elastic foundation
We investigate bifurcation in the solution set of the von Kármán equations on a disk Ω ⊂ ℝ² with two positive parameters α and β. The equations describe the behaviour of an elastic thin round plate lying on an elastic base under the action of a compressing force. The method of analysis is based on reducing the problem to an operator equation in real Banach spaces with a nonlinear Fredholm map F of index zero (to be defined later) that depends on the parameters α and β. Applying the implicit function...
Bifurcations near a double eigenvalue of the rectangular plate problem with a domain parametr
Bifurcations of generalized von Kármán equations for circular viscoelastic plates
The paper deals with the analysis of generalized von Kármán equations which describe stability of a thin circular clamped viscoelastic plate of constant thickness under a uniform compressive load which is applied along its edge and depends on a real parameter, and gives results for the linearized problem of stability of viscoelastic plates. An exact definition of a bifurcation point for the generalized von Kármán equations is given. Then relations between the critical points of the linearized problem...
Bilinear spatial control of the velocity term in a Kirchhoff plate equation.
Boundary layer resolution in hierarchical models of laminated composites
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
Decay estimates for solutions of some systems for elasticity with nonlinear boundary feedback.
Development of a finite-element-based design sensitivity analysis for buckling and postbuckling of composite plates.
Discontinuities in an axisymmetric generalized thermoelastic problem.
Discrete forms of Friedrichs' inequalities in the finite element method
Domain decomposition method and elastic multi-structures: the stiffened plate problem.