Some nonlinear and nonlocal Sturm-Liouville problems motivated by the problem of flutter.
Some nonstandard finite element estimates with applications to Poisson and Signorini problems.
Some problems of thermoelastic equilibrium of a rectangular parallelepiped in terms of asymmetric elasticity.
Some qualitative problems of the linear elasticity theory.
Some qualitative results for the linear theory of binary mixtures of thermoelastic solids.
In this paper we study the linear thermodynamical problem of mixtures of thermoelastic solids. We use some results of the semigroup theory to obtain an existence theorem for the initial value problem with homogeneous Dirichlet boundary conditions. Continuous dependence of solutions upon the initial data and body forces is also established. We finish with a study of the asymptotic behavior of solutions of the homogeneous problem.
Some regularity results for minimal crystals
We introduce an intrinsic notion of perimeter for subsets of a general Minkowski space ( a finite dimensional Banach space in which the norm is not required to be even). We prove that this notion of perimeter is equivalent to the usual definition of surface energy for crystals and we study the regularity properties of the minimizers and the quasi-minimizers of perimeter. In the two-dimensional case we obtain optimal regularity results: apart from a singular set (which is -negligible and is empty...
Some regularity results for minimal crystals
We introduce an intrinsic notion of perimeter for subsets of a general Minkowski space (i.e. a finite dimensional Banach space in which the norm is not required to be even). We prove that this notion of perimeter is equivalent to the usual definition of surface energy for crystals and we study the regularity properties of the minimizers and the quasi-minimizers of perimeter. In the two-dimensional case we obtain optimal regularity results: apart from a singular set (which is -negligible and is...
Some remarks on a result of Talenti
Some remarks on growth and uniqueness in thermoelasticity.
Some remarks on the optimal design of periodically reinforced structures
Some results about the pseudospectral approximation of one-dimensional fourth-order problems.
Some results in viscoelasticity theory via a simple perturbation argument
Some results on the well-posedness of an integro-differential Frémond model for shape memory alloys.
Some thoughts on the material mechanics of materials.
This paper outlines recent developments and prospects in the application of the continuum mechanics expressed intrinsically on the material manifold itself. This includes applications to materially inhomogeneous materials, physical effects which, in this vision, manifest themselves as quasi-inhomogeneities, and the notion of thermodynamical driving force of the dissipative progress of singular point sets on the material manifold with special emphasis on fracture, shock waves and phase-transition...
Some topics in spectral geometry
Sottopotenziali energia libera per l'isteresi meccanica
This paper deals with free-energy lower-potentials for some rate-independent one-dimensional models of isothermal finite elastoplasticity proposed in [1]. Extending the thermodynamic arguments of Coleman and Owen [3] to large deformations, the existence, non-uniqueness and regularity of free-energy as function of state are deduced rather than assumed. This approach, along with some optimal control techniques, enables us to construct maximum and minimum free-energy functions and a wide class of differentiable...
Space-time coordinate transformations in continuum mechanics invariable equations of thermomechanics
Space-time discontinuous Galerkin method for the solution of fluid-structure interaction
The paper is concerned with the application of the space-time discontinuous Galerkin method (STDGM) to the numerical solution of the interaction of a compressible flow and an elastic structure. The flow is described by the system of compressible Navier-Stokes equations written in the conservative form. They are coupled with the dynamic elasticity system of equations describing the deformation of the elastic body, induced by the aerodynamical force on the interface between the gas and the elastic...
Sparse Null Basis Computations in Structural Optimization.
Spatial behaviour for the harmonic vibrations in plates of Kirchhoff type.