A note on the quasi-static problem of periodic linearized thermoviscoelasticity
A stochastic model for linear viscoelastic substances
Direct and inverse problems in the theory of materials with memory
Dynamics of multilayered orthotropic viscoelastic plates of Maxwell solids.
Efficient inexact Newton-like methods with application to problems of the deformation theory of plasticity
Newton-like methods are considered with inexact correction computed by some inner iterative method. Composite iterative methods of this type are applied to the solution of nonlinear systems arising from the solution of nonlinear elliptic boundary value problems. Two main quastions are studied in this paper: the convergence of the inexact Newton-like methods and the efficient control of accuracy in computation of the inexact correction. Numerical experiments show the efficiency of the suggested composite...
Elastic-plastic torsion problem over multiply connected domains
Étude dans d’un modèle de plaques élastoplastiques comportant une non-linéarité géométrique
Fading memory effects in elastic-viscoelastic composites
Fading memory spaces and approximate cycles in linear viscoelasticity
Finite elements methods for solving viscoelastic thin plates
The present paper deals with numerical solution of a viscoelastic plate. The discrete problem is defined by -elements and a linear multistep method. The effect of numerical integration is studied as well. The rate of cnvergence is established. Some examples are given in the conclusion.
Free energy and internal variables in linear viscoelasticity
In connection with the determination of the free energy functional for the viscoelastic stress tensor, a viscoelastic material is considered as described by a material with internal variables. In this framework the free energy is uniquely determined. It proves to be the minimal one in the class of thermodynamically admissible free energies.
Generalized Fractional Calculus With Application in Mechanics
Global in time solvability of the initial boundary value problem for some nonlinear dissipative evolution equations
The global in time solvability of the one-dimensional nonlinear equations of thermoelasticity, equations of viscoelasticity and nonlinear wave equations in several space dimensions with some boundary dissipation is discussed. The blow up of the solutions which might be possible even for small data is excluded by allowing for a certain dissipative mechanism.
I difficili rapporti fra l'Analisi funzionale e la Fisica Matematica
— Si mostra come la scelta di una topologia nello spazio delle funzioni ammissibili, in taluni problemi, influenzi i relativi risultati. Vengono mostrati tre esempi. Due tratti dall'Analisi matematica pura: uno riguardante la stabilità della soluzione di un'equazione integrale di Volterra e l'altro il problema di Cauchy per l'equazione di Laplace come «problema ben posto». Il terzo esempio è relativo alla Fisica matematica, precisamente al «Principio della Memoria evanescente» in Viscoelasticità....
Multipolar viscoelastic materials and the symmetry of the coefficients of viscosity
The integral constitutive equations of a multipolar viscoelastic material are analyzed from the thermodynamic point of view. They are shown to be approximated by those of the differential-type viscous materials when the processes are slow. As a consequence of the thermodynamic compatibility of the viscoelastic model, the coefficients of viscosity of the approximate viscous model are shown to have an Onsager-type symmetry. This symmetry was employed earlier in the proof of the existence of solutions...
Non unicità dell'energia libera per materiali viscoelastici
La non unicità dell'energia libera per un materiale viscoelastico di tipo «rate» viene provata mediante la determinazione di un controesempio.
Nonlinear transmission problem with a dissipative boundary condition of memory type.
Numerical exponential decay to dissipative Bresse system.
On a global in time existence theorem of smooth solutions to an nonlinear wave equation with viscosity.
On Operators with Bounded Imaginary Powers in Banach Spaces.