Some nonconforming finite elements for the plate bending problem
Some nonstandard finite element estimates with applications to Poisson and Signorini problems.
Special curved elements and theitr application [Abstract of thesis]
Special exact curved finite elements
Special exact curved finite elements useful for solving contact problems of the second order in domains boundaries of which consist of a finite number of circular ares and a finite number of line segments are introduced and the interpolation estimates are proved.
Stability of finite element mixed interpolations for contact problems
We consider the formulation of contact problems using a Lagrange multiplier to enforce the contact no-penetration constraint. The finite element discretization of the formulation must satisfy stability conditions which include an inf-sup condition. To identify which finite element interpolations in the contact constraint lead to stable (and optimal) numerical solutions we focus on the finite element discretization and solution of a «simple» model problem. While a simple problem to avoid the need...
Stability of microstructure for tetragonal to monoclinic martensitic transformations
Stability of microstructure for tetragonal to monoclinic martensitic transformations
We give an analysis of the stability and uniqueness of the simply laminated microstructure for all three tetragonal to monoclinic martensitic transformations. The energy density for tetragonal to monoclinic transformations has four rotationally invariant wells since the transformation has four variants. One of these tetragonal to monoclinic martensitic transformations corresponds to the shearing of the rectangular side, one corresponds to the shearing of the square base, and one corresponds to...
Stochastic finite element for structural vibration.
Stochastic finite element technique for stochastic one-dimensional time-dependent differential equations with random coefficients.
Sulla nozione di stato per materiali viscoelastici di tipo «rate»
Si considera un materiale viscoelastico lineare in cui la funzione di rilassamento è la somma di esponenziali. Lo stato di questi sistemi non è necessariamente assegnato dalla storia passata di , ma è sufficiente fornire il valore iniziale del tensore di deformazione , del tensore degli sforzi e delle sue derivate. Infine per questi materiali abbiamo ottenuto una espressione dell'energia libera come una funzione dello stato di dimensione finita .
Sull’estensione di un teorema di Menabrea al caso di una microstruttura a deformazioni finite
In the present work an extension of a classical Menabrea’s theorem on a variational principle of the second potential energy is considered. Such extension deals with hyperelastic micropolar media without constraints.
Superconvergence for a Mixed Finite Element Method for Elastic Wave Propagation in a Plane Domain.
Sur la convergence des méthodes d'éléments finis nonconformes pour des problèmes linéaires de coques minces.
Sur l'élément de Clough et Tocher
Sur une méthode de calcul de structures soumises à des chargements cycliques : l'homogénéisation en temps