Homogénéisation de frontières par épi-convergence en élasticité linéaire
Homogenization and effective properties of plates weakened by partially penetrating fissures : convergence and duality
Homogenization limits of diffusion equations in thin domains
Homogenization of a singular random one-dimensional PDE
This paper deals with the homogenization problem for a one-dimensional parabolic PDE with random stationary mixing coefficients in the presence of a large zero order term. We show that under a proper choice of the scaling factor for the said zero order terms, the family of solutions of the studied problem converges in law, and describe the limit process. It should be noted that the limit dynamics remain random.
Homogenization of reinforced periodic one-codimensional structures
hp-FEM for three-dimensional elastic plates
In this work, we analyze hierarchic hp-finite element discretizations of the full, three-dimensional plate problem. Based on two-scale asymptotic expansion of the three-dimensional solution, we give specific mesh design principles for the hp-FEM which allow to resolve the three-dimensional boundary layer profiles at robust, exponential rate. We prove that, as the plate half-thickness ε tends to zero, the hp-discretization is consistent with the three-dimensional solution to any power of ε in...
Hybrid variational principles and their use in the finite element method
Il problema monolaterale di contatto dinamico con attrito di una trave su una fondazione alla Hetényi: un approccio agli elementi finiti
L'ipotesi di contatto monolaterale tra strutture di fondazione e terreno assume un significato importante in tutti quei problemi tecnici, nei quali l'area di contatto tra struttura e fondazione diviene percentualmente piccola, sia per la rigidezza relativa dei corpi a contatto, sia per la condizione di carico, soprattutto in presenza di carichi ribaltanti come possono adesempio essere le forze sismiche. In questo contesto sono stati sviluppati negli ultimi anni diversi studi, che riguadano però...
Impédance d'une plaque élastique reliée en trois points à un support rigide vibrant
Implications of rank one convexity
Incompressible limit behaviour of slightly compressible nonlinear elastic materials
Incremental methods in nonlinear, three-dimensional, incompressible elasticity
Interior and exterior solutions for boundary value problems in composite elastic and viscous media.
Inverse problem in engineering plasticity: a quadratic programming approach
Si considera un modello discreto (per elementi finiti) di un solido o un sistema strutturale perfettamente elastoplastico, con condizioni di snervamento «linearizzate a tratti», nell’ipotesi di olonomia assunta per processi di caricamento proporzionali. Supponendo noti su base sperimentale certi spostamenti sotto assegnate azioni esterne, si formula il problema di identificare i limiti di snervamento, ossia le resistenze locali. Si dimostra che questo problema inverso di meccanica strutturale non...
Isoperimetric distributions of loads in elastostatics
Iterative methods for the numerical solution of the boundary value problem of elasticity [Abstract of thesis]
Iteratively solving a kind of Signorini transmission problem in a unbounded domain
In this paper, we are concerned with a kind of Signorini transmission problem in a unbounded domain. A variational inequality is derived when discretizing this problem by coupled FEM-BEM. To solve such variational inequality, an iterative method, which can be viewed as a variant of the D-N alternative method, will be introduced. In the iterative method, the finite element part and the boundary element part can be solved independently. It will be shown that the convergence speed of this iteration...
Iteratively solving a kind of signorini transmission problem in a unbounded domain
In this paper, we are concerned with a kind of Signorini transmission problem in a unbounded domain. A variational inequality is derived when discretizing this problem by coupled FEM-BEM. To solve such variational inequality, an iterative method, which can be viewed as a variant of the D-N alternative method, will be introduced. In the iterative method, the finite element part and the boundary element part can be solved independently. It will be shown that the convergence speed of this iteration...
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