A class of convex non-coercive functionals and masonry-like materials
A constitutive formulation for the linear thermoelastic behavior of arbitrary fiber-reinforced composites.
A discretization method for the problem of a membrane constrained by elastic obstacle
In questo lavoro sono dati alcuni modelli matematici per il problema di contatto tra una membrana ed un suolo od ostacolo elastico. Viene costruita una approssimazione lineare a tratti della soluzione e, tramite una disequazione variazionale discreta, se ne dà il corrispondente teorema di convergenza.
A dual method for some class of systems of variational inequalities
A family of finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems
A Family of Higher Order Mixed Finite Element Methods for Plane Elasticity.
A Galerkin spectral approximation in linearized beam theory
A generalization to nonlinear hardening of the first shakedown theorem for discrete elastic-plastic structural models
In the plastic constitutive laws the yield functions are assumed to be linear in the stresses, but generally non-linear in the internal variables which are non-decreasing measures of the contribution to plastic strains by each face of the yield surface. The structural models referred to for simplicity are aggregates of constant-strain finite elements. Influence of geometry changes on equilibrium are allowed for in a linearized way (the equilibrium equation contains a bilinear term in the displacements...
A maximum reduced dissipation principle for nonassociative plasticity
The concept of reduced plastic dissipation is introduced for a perfectly plastic rate-independent material not obeyng the associated normality rule and characterized by a strictly convex plastic potential function. A maximum principle is provided and shown to play the role of variational statement for the nonassociative constitutive equations. The Kuhn-Tucker conditions of this principle describe the actual material behaviour as that of a (fictitious) composite material with two plastic constituents,...
A minimum principle in the dynamics of elastic materials with voids
In the context of the linear, dynamic problem for elastic bodies with voids, a minimum principle in terms of mechanical energy is stated. Involving a suitable (Reiss type) function in the minimizing functional, the minimum character achieved in the Laplace-transform domain is preserved when going back to the original time domain. Initial-boundary conditions of quite general type are considered.
A mixed finite element method for the biharmonic problem
A Multi-Grid Algorithm for Mixed Problems with Penalty.
A multigrid method for Reissner-Mindlin plates.
A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction
A new Schwarz method for nonlinear systems is presented, constituting the multiplicative variant of a straightforward additive scheme. Local convergence can be guaranteed under suitable assumptions. The scheme is applied to nonlinear acoustic-structure interaction problems. Numerical examples validate the theoretical results. Further improvements are discussed by means of introducing overlapping subdomains and employing an inexact strategy for the local solvers.
A New Class of Variational Problems Arising in the Modeling of Elastic Multi-Structures.
A numerical method for detecting singular minimizers of multidimensional problems in nonlinear elasticity.
A problem of thermal shock with thermal relaxation.
A radial return algorithm application in elastoplastic frame analysis using plastic hinge approach.
A Remark on a boundary contact problem in linear elasticity.
A space-time variational formulation for the boundary integral equation in a 2D elastic crack problem