Teoremi di esistenza e unicità in elastostatica finita
The complementing condition and its role in a bifurcation theory applicable to nonlinear elasticity.
The large deformation of nonlinearly elastic shells in axisymmetric flows
The method of fictitious domains in the Signorini problem.
The null condition and global existence of nonlinear elsastic waves.
The Numerical Computation of Compressed States of Nonlinearly Elastic Anisotropic Plates.
The problem of dynamic cavitation in nonlinear elasticity
The notion of singular limiting induced from continuum solutions (slic-solutions) is applied to the problem of cavitation in nonlinear elasticity, in order to re-assess an example of non-uniqueness of entropic weak solutions (with polyconvex energy) due to a forming cavity.
The relaxation of the Signorini problem for polyconvex functionals with linear growth at infinity
The aim of this paper is to study the unilateral contact condition (Signorini problem) for polyconvex functionals with linear growth at infinity. We find the lower semicontinuous relaxation of the original functional (defined over a subset of the space of bounded variations BV(Ω)) and we prove the existence theorem. Moreover, we discuss the Winkler unilateral contact condition. As an application, we show a few examples of elastic-plastic potentials for finite displacements.
The solution of inverse nonlinear elasticity problems that arise when locating breast tumours.
Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity
A parabolic system arisng as a viscosity regularization of the quasilinear one-dimensional telegraph equation is considered. The existence of - a priori estimates, independent of viscosity, is shown. The results are achieved by means of generalized invariant regions.