Vittorio Zampoli - Academia.edu (original) (raw)
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Papers by Vittorio Zampoli
Mathematics
Through the present work, we want to lay the foundation of the well-posedness question for a line... more Through the present work, we want to lay the foundation of the well-posedness question for a linear model of thermoelasticity here proposed, in which the presence of voids into the elastic matrix is taken into account following the Cowin–Nunziato theory, and whose thermal response obeys a three-phase lag time-differential heat transfer law. By virtue of the linearity of the model investigated, the basic initial-boundary value problem is conveniently modified into an auxiliary one; attention is paid to the uniqueness question, which is addressed through two alternative paths, i.e., the Lagrange identity and the logarithmic convexity methods, as well as to the continuous dependence issue. The results are achieved under very weak assumptions involving constitutive coefficients and delay times, at most coincident with those able to guarantee the thermodynamic consistency of the model.
New Trends in Fluid and Solid Models - Proceedings of the International Conference in Honour of Brian Straughan, 2010
ABSTRACT
Research in Nondestructive Evaluation, 2008
... b & V. Zampoli b pages 20-43. ... As noted previously, the correctness of the bou... more ... b & V. Zampoli b pages 20-43. ... As noted previously, the correctness of the boundary condition (3.2b) on the boundary faces directly follows from the explicit expression (3.17b). Let us now check condition 3. For this aim, we take into account the following table series [1212. ...
Mechanics Research Communications, 2011
In the present paper we consider an orthotropic micropolar elastic material subject to a state of... more In the present paper we consider an orthotropic micropolar elastic material subject to a state of plane strain. In this context, we establish necessary and sufficient conditions for the strong ellipticity of constitutive coefficients. Furthermore, we study existence of progressive plane waves under the strong ellipticity conditions previously determined. Finally, we detail the results obtained for a specific class of materials related to tetragonal systems.
Mechanics Research Communications, 2011
In the context of heat conduction governed by the celebrated Cattaneo equation, Christov has rece... more In the context of heat conduction governed by the celebrated Cattaneo equation, Christov has recently proposed a modification of the time derivative term in order to satisfy the objectivity principle. For such a model applied to an incompressible fluid, the uniqueness of the solution is here proved.
Mathematical Problems in Engineering, 2006
We study the reconstruction of geometry (position and size) of round voids located in the elastic... more We study the reconstruction of geometry (position and size) of round voids located in the elastic half-space, in frames of antiplane two-dimensional problem. We assume that a known point force is applied to the boundary surface of the half-space, and we can measure the shape of the surface over a certain finite-length interval. Then, if the geometry of the defect is unknown, we construct an algorithm to restore its position and size. Some numerical examples demonstrate a good stability of the proposed algorithm.
Journal of Thermal Stresses, 2013
ABSTRACT
Journal of Thermal Stresses, 2011
ABSTRACT
Journal of Mechanics of Materials and Structures, 2010
In the present paper, we investigate the spatial behavior of transient and steady-state solutions... more In the present paper, we investigate the spatial behavior of transient and steady-state solutions for the problem of bending applied to a linear Mindlin-type plate model; the plate is supposed to be made of a material characterized by rhombic isotropy, with the elasticity tensor satisfying the strong ellipticity condition. First, using an appropriate family of measures, we show that the transient solution vanishes at distances greater than cT from the support of the given data on the time interval [0, T ], where c is a characteristic material constant. For distances from the support less than cT , we obtain a spatial decay estimate of Saint-Venant type. Then, for a plate whose middle section is modelled as a (bounded or semiinfinite) strip, a family of measures is used to obtain an estimate describing the spatial behavior of the amplitude of harmonic vibrations, provided that the frequency is lower than a critical value.
European Journal of Mechanics - A/Solids, 2013
In this paper we derive a continuum theory for a thermoviscoelastic composite using an entropy pr... more In this paper we derive a continuum theory for a thermoviscoelastic composite using an entropy production inequality proposed by Green and Laws, presented in Lagrangian description. The composite is modeled as a mixture of a microstretch viscoelastic material of KelvineVoigt type and a microstretch elastic solid. The strain measures and the basic laws are shown and the thermodynamic restrictions are established. Then the linear theory is considered and the constitutive equations are given in both anisotropic and isotropic cases. Finally, a uniqueness result is established within the framework of the linear theory.
Mechanics Research Communications, 2015
ABSTRACT
Journal of Sound and Vibration, 2016
Mechanics Research Communications
Mechanics Research Communications, 2015
ABSTRACT
In the present paper we study harmonic oscillations of elastic rec- tangle above a viscoelastic l... more In the present paper we study harmonic oscillations of elastic rec- tangle above a viscoelastic layered half-space. The latter consists of an elastic half-space to which a viscoelastic layer is embedded at a certain depth. By combining Fourier integral transform in the half-space and series representation of the solution in the rectangle the problem is re- duced to an integral
Mathematics
Through the present work, we want to lay the foundation of the well-posedness question for a line... more Through the present work, we want to lay the foundation of the well-posedness question for a linear model of thermoelasticity here proposed, in which the presence of voids into the elastic matrix is taken into account following the Cowin–Nunziato theory, and whose thermal response obeys a three-phase lag time-differential heat transfer law. By virtue of the linearity of the model investigated, the basic initial-boundary value problem is conveniently modified into an auxiliary one; attention is paid to the uniqueness question, which is addressed through two alternative paths, i.e., the Lagrange identity and the logarithmic convexity methods, as well as to the continuous dependence issue. The results are achieved under very weak assumptions involving constitutive coefficients and delay times, at most coincident with those able to guarantee the thermodynamic consistency of the model.
New Trends in Fluid and Solid Models - Proceedings of the International Conference in Honour of Brian Straughan, 2010
ABSTRACT
Research in Nondestructive Evaluation, 2008
... b & V. Zampoli b pages 20-43. ... As noted previously, the correctness of the bou... more ... b & V. Zampoli b pages 20-43. ... As noted previously, the correctness of the boundary condition (3.2b) on the boundary faces directly follows from the explicit expression (3.17b). Let us now check condition 3. For this aim, we take into account the following table series [1212. ...
Mechanics Research Communications, 2011
In the present paper we consider an orthotropic micropolar elastic material subject to a state of... more In the present paper we consider an orthotropic micropolar elastic material subject to a state of plane strain. In this context, we establish necessary and sufficient conditions for the strong ellipticity of constitutive coefficients. Furthermore, we study existence of progressive plane waves under the strong ellipticity conditions previously determined. Finally, we detail the results obtained for a specific class of materials related to tetragonal systems.
Mechanics Research Communications, 2011
In the context of heat conduction governed by the celebrated Cattaneo equation, Christov has rece... more In the context of heat conduction governed by the celebrated Cattaneo equation, Christov has recently proposed a modification of the time derivative term in order to satisfy the objectivity principle. For such a model applied to an incompressible fluid, the uniqueness of the solution is here proved.
Mathematical Problems in Engineering, 2006
We study the reconstruction of geometry (position and size) of round voids located in the elastic... more We study the reconstruction of geometry (position and size) of round voids located in the elastic half-space, in frames of antiplane two-dimensional problem. We assume that a known point force is applied to the boundary surface of the half-space, and we can measure the shape of the surface over a certain finite-length interval. Then, if the geometry of the defect is unknown, we construct an algorithm to restore its position and size. Some numerical examples demonstrate a good stability of the proposed algorithm.
Journal of Thermal Stresses, 2013
ABSTRACT
Journal of Thermal Stresses, 2011
ABSTRACT
Journal of Mechanics of Materials and Structures, 2010
In the present paper, we investigate the spatial behavior of transient and steady-state solutions... more In the present paper, we investigate the spatial behavior of transient and steady-state solutions for the problem of bending applied to a linear Mindlin-type plate model; the plate is supposed to be made of a material characterized by rhombic isotropy, with the elasticity tensor satisfying the strong ellipticity condition. First, using an appropriate family of measures, we show that the transient solution vanishes at distances greater than cT from the support of the given data on the time interval [0, T ], where c is a characteristic material constant. For distances from the support less than cT , we obtain a spatial decay estimate of Saint-Venant type. Then, for a plate whose middle section is modelled as a (bounded or semiinfinite) strip, a family of measures is used to obtain an estimate describing the spatial behavior of the amplitude of harmonic vibrations, provided that the frequency is lower than a critical value.
European Journal of Mechanics - A/Solids, 2013
In this paper we derive a continuum theory for a thermoviscoelastic composite using an entropy pr... more In this paper we derive a continuum theory for a thermoviscoelastic composite using an entropy production inequality proposed by Green and Laws, presented in Lagrangian description. The composite is modeled as a mixture of a microstretch viscoelastic material of KelvineVoigt type and a microstretch elastic solid. The strain measures and the basic laws are shown and the thermodynamic restrictions are established. Then the linear theory is considered and the constitutive equations are given in both anisotropic and isotropic cases. Finally, a uniqueness result is established within the framework of the linear theory.
Mechanics Research Communications, 2015
ABSTRACT
Journal of Sound and Vibration, 2016
Mechanics Research Communications
Mechanics Research Communications, 2015
ABSTRACT
In the present paper we study harmonic oscillations of elastic rec- tangle above a viscoelastic l... more In the present paper we study harmonic oscillations of elastic rec- tangle above a viscoelastic layered half-space. The latter consists of an elastic half-space to which a viscoelastic layer is embedded at a certain depth. By combining Fourier integral transform in the half-space and series representation of the solution in the rectangle the problem is re- duced to an integral