On some unilateral boundary value problems for the von Kármán equations. Part I: The coercive case
On some viscoelastic models
Sia un sistema linearmente viscoelastico, omogeneo ed isotropo, caratterizzato dalla funzione di memoria , tipica di numerosi polimeri solidi. Si dimostra che la soluzione fondamentale dell’operatore integrodifferenziale che descrive i moti di è, in ogni punto del suo supporto, maggiorata da quella relativa ad un opportuno solido standard Di conseguenza, è possibile applicare all’analisi qualitativa dei moti di alcuni risultati stabiliti in [10], quali proprietà asintotiche, principi...
On stability and growth of solutions for classes of initial and boundary value problems
On symmetrically growing bodies.
This work presents a setting for the formulation of the mechanics of growing bodies. By the mechanics of growing bodies we mean a theory in which the material structure of the body does not remain fixed. Material points may be added or removed from the body.
On the accuracy of asymptotic approximations for longitudinal deformation of a thin plate
On the accuracy of Reissner–Mindlin plate model for stress boundary conditions
For a plate subject to stress boundary condition, the deformation determined by the Reissner–Mindlin plate bending model could be bending dominated, transverse shear dominated, or neither (intermediate), depending on the load. We show that the Reissner–Mindlin model has a wider range of applicability than the Kirchhoff–Love model, but it does not always converge to the elasticity theory. In the case of bending domination, both the two models are accurate. In the case of transverse shear domination, the...
On the analysis of a viscoplastic contact problem with time dependent Tresca's friction law.
On the analysis of boundary value problems in nonsmooth domains [Book]
On the analysis of elastic layers by a Fourier series, Green's function approach
The plane strain elastic analysis of a homogeneous and isotropic layer of constant thickness, is formulated using Fourier series expansions in the direction parallel to the layer and suitable Green's functions in the transversal direction. For each frequency the unknown distributions of the Fourier coefficients relevant to the symmetric or skew-symmetric problems are governed by one-dimensional equations which can be solved exactly. The proposed method is used to critically discuss the "transfer"...
On the anelastic evolution of second-grade materials.
On the approximation of the Signorini problem with friction
On the Asymptotic Analys of a Non-Symmetric Bar
We study the 3-D elasticity problem in the case of a non-symmetric heterogeneous rod. The asymptotic expansion of the solution is constructed. The coercitivity of the homogenized equation is proved. Estimates are derived for the difference between the truncated series and the exact solution.
On the asymptotic analysis of a non-symmetric bar
On the asymptotic behaviour of a solution of a differential equation in a Hilbert space
On the asymptotics of the spectrum of a thin plate problem of elasticity.
On the boundary controllability of dynamical system described by the wave equation on a class of graphs (on trees).
On the buckling of a viscoelastic rod
On the Cauchy problem in linear viscoelasticity
Con riferimento all’operatore integrodifferenziale della viscoelasticità lineare nella formulazione creep, si determina la soluzione fondamentale in corrispondenza di un’arbitraria funzione di memoria. Di conseguenza viene risolto esplicitamente il problema di Cauchy relativo al moto unidimensionale di un sistema viscoelastico , omogeneo ed isotropo, determinato da dati iniziali e storia di stress comunque prefissati. Successivamente, nell’ambito di opportune ipotesi di memoria labile, si dimostrano...
On the Cauchy Problem in Nonlinear 3-d-Thermoelasticity.
On the change of energy caused by crack propagation in 3-dimensional anisotropic solids
Crack propagation in anisotropic materials is a persistent problem. A general concept to predict crack growth is the energy principle: A crack can only grow, if energy is released. We study the change of potential energy caused by a propagating crack in a fully three-dimensional solid consisting of an anisotropic material. Based on methods of asymptotic analysis (method of matched asymptotic expansions) we give a formula for the decrease in potential energy if a smooth inner crack grows along a...