Angelo Morro
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View article: Thermodynamics and Nonlocality in Continuum Physics
Thermodynamics and Nonlocality in Continuum Physics Open
This paper is devoted to the modelling of nonlocality in continuum physics through constitutive functions that depend on suitable gradients. For definiteness, the attention is addressed to elastic solids, heat conductors, and magnetic soli…
View article: Entropy Production Assumption and Objectivity in Continuum Physics Modelling
Entropy Production Assumption and Objectivity in Continuum Physics Modelling Open
This paper revisits some aspects connected with the methods for the determination of thermodynamically consistent models. While the concepts apply to the general context of continuum physics, the details are developed for the modelling of …
View article: On Symmetry Properties of Tensors for Electromagnetic Deformable Solids
On Symmetry Properties of Tensors for Electromagnetic Deformable Solids Open
As a generalization of the symmetry of the stress tensor of continuum mechanics, the paper investigates symmetry properties arising in models of magneto- and electro-mechanical interaction. First, the balance of angular momentum is conside…
View article: Thermodynamically Consistent Evolution Equations in Continuum Mechanics
Thermodynamically Consistent Evolution Equations in Continuum Mechanics Open
This paper addresses the modelling of material behaviour in terms of differential (or rate) equations. To comply with the objectivity principle, recourse is made to invariant fields in the Lagrangian description or to objective time deriva…
View article: Strain-Rate and Stress-Rate Models of Nonlinear Viscoelastic Materials
Strain-Rate and Stress-Rate Models of Nonlinear Viscoelastic Materials Open
The paper is devoted to the modeling of nonlinear viscoelastic materials. The constitutive equations are considered in differential form via relations between strain, stress, and their derivatives in the Lagrangian description. The thermod…
View article: On the Second Law of Thermodynamics in Continuum Physics
On the Second Law of Thermodynamics in Continuum Physics Open
The paper revisits the formulation of the second law in continuum physics and investigates new methods of exploitation. Both the entropy flux and the entropy production are taken to be expressed by constitutive equations. In three-dimensio…
View article: Modeling of heat conduction through rate equations
Modeling of heat conduction through rate equations Open
Starting from a classical thermodynamic approach, we derive rate-type equations to describe the behavior of heat flow in deformable media. Constitutive equations are defined in the material (Lagrangian) description where the standard time …
View article: Heat Transport Equations in Elastic Nanosystems
Heat Transport Equations in Elastic Nanosystems Open
The paper is devoted to some modelling equations for heat propagation in nanosystems. The purpose is to investigate the thermodynamic consistency so that appropriate constitutive restrictions are established. First a second-order different…
View article: On the modelling of thermal convection in porous media through rate-type equations
On the modelling of thermal convection in porous media through rate-type equations Open
The paper investigates current models of flows in porous media from the viewpoint of the mixture theory. The constitutive equations are investigated for compressible, viscous, heat-conducting fluids subject to relaxation phenomena. The the…
View article: Modeling of heat conduction through rate equations
Modeling of heat conduction through rate equations Open
Starting from a classical thermodynamic approach, we derive rate-type equations to describe the behavior of heat flow in deformable media. Constitutive equations are defined in the material (Lagrangian) description where the standard time …
View article: Korteweg-Type Fluids and Thermodynamic Modelling via Higher-Order Gradients
Korteweg-Type Fluids and Thermodynamic Modelling via Higher-Order Gradients Open
This paper investigates the modelling of Korteweg-type fluids and hence the dependence of the stress tensor on gradients of mass density. This topic, originating from the need for describing capillarity effects, is mainly of interest in co…
View article: Modelling of Electro-Viscoelastic Materials through Rate Equations
Modelling of Electro-Viscoelastic Materials through Rate Equations Open
Models of dielectric solids subject to large deformations are established by following a thermodynamic approach. The models are quite general in that they account for viscoelastic properties and allow electric and thermal conduction. A pre…
View article: Techniques for the Thermodynamic Consistency of Constitutive Equations
Techniques for the Thermodynamic Consistency of Constitutive Equations Open
The paper investigates the techniques associated with the exploitation of the second law of thermodynamics as a restriction on the physically admissible processes. Though the exploitation consists of the use of the arbitrariness occurring …
View article: Thermodynamically-Consistent Modeling of Ferromagnetic Hysteresis
Thermodynamically-Consistent Modeling of Ferromagnetic Hysteresis Open
Models of ferromagnetic hysteresis are established by following a thermodynamic approach. The class of constitutive properties is required to obey the second law, expressed by the Clausius–Duhem inequality, and the Euclidean invariance. Wh…
View article: A Phase-Field Approach to Continuum Damage Mechanics
A Phase-Field Approach to Continuum Damage Mechanics Open
This paper develops a phase-field approach to describe the damage within continuum mechanics. The body is associated with the standard stresses and body forces of macroscopic character. As is the case in many contexts, the phase field is a…
View article: Magneto-Viscoelastic Materials: Memory Functionals and Rate Equations
Magneto-Viscoelastic Materials: Memory Functionals and Rate Equations Open
The properties of viscoelastic solids subject to a magnetic field are modelled within two thermodynamically consistent approaches that are typical of models with a non-instantaneous response. One is based on memory functionals: the reversi…
View article: Diffusion Models of Continuum Physics
Diffusion Models of Continuum Physics Open
that the recourse to the chemical potential is justified in two different ways.Next we examine the alternative recourse to the balance equations through a linearization procedure.Further, we point out that the ideas about the correspondenc…
View article: Thermodynamic Restrictions in Linear Viscoelasticity
Thermodynamic Restrictions in Linear Viscoelasticity Open
The thermodynamic consistency of linear viscoelastic models is investigated. First, the classical Boltzmann law of stress–strain is considered. The kernel (Boltzmann function) is shown to be consistent only if the half-range sine transform…
View article: Rate-type models of dissipative compressible fluids
Rate-type models of dissipative compressible fluids Open
Two models of dissipative compressible fluids are established within the general setting of Rational Thermodynamics. It is a common feature underlying the analysis of the thermodynamic consistency that the entropy production and the free e…
View article: Nonlinear Models of Thermo-Viscoelastic Materials
Nonlinear Models of Thermo-Viscoelastic Materials Open
The paper develops a general scheme for viscoelastic materials, where the constitutive properties are described by means of measures of strain, stress, heat flux, and their time derivatives. The constitutive functions are required to be co…
View article: Thermodynamically Consistent Models of Elastic-Plastic Materials
Thermodynamically Consistent Models of Elastic-Plastic Materials Open
A three-dimensional thermodynamic setting for the modelling of elastic-plastic materials is established. The second law of thermodynamics is
\nassumed in the Clausius-Duhem form with the entropy production being given by a constitutive fun…
View article: Classical and Quantum Models of Diffusion
Classical and Quantum Models of Diffusion Open
The objective of the paper is twofold: first, to review the classical diffusion models and show the approximations at the origin of the parabolic character of the classical equations; second, to demonstrate a connection between the quantum…
View article: A thermodynamic approach to rate-type models in deformable ferroelectrics
A thermodynamic approach to rate-type models in deformable ferroelectrics Open
The purpose of the paper is to establish vector-valued rate-type models for the hysteretic properties in deformable ferroelectrics within the framework of continuum thermodynamics. Unlike electroelasticity and piezoelectricity, in ferroele…
View article: Two approaches to aging and fatigue models in viscoelastic solids
Two approaches to aging and fatigue models in viscoelastic solids Open
The paper deals with viscoelastic solids subject to aging and fatigue effects. First a scheme is set up on the basis of physical insights, provided by the analysis of a rheological model, by letting the elastic moduli and the viscosity coe…
View article: Nonlinear waves in thermoelastic dielectrics
Nonlinear waves in thermoelastic dielectrics Open
This paper is addressed to the analysis of wave propagation in electroelastic materials. First the balance equations are reviewed and the entropy inequality is established. Next the constitutive equations are considered for a deformable an…
View article: A thermodynamic Approach to Rate Equations in Continuum Physics
A thermodynamic Approach to Rate Equations in Continuum Physics Open
The paper addresses the formulation of rate equations, via objective time derivatives, within continuum physics.The concept of objectivity is reviewed and distinction is made with material frame-indifference whose meaning is restricted to …
View article: Nonlinear diffusion equations in fluid mixtures
Nonlinear diffusion equations in fluid mixtures Open
The whole set of balance equations for chemically-reacting fluid mixtures is established.The diffusion flux relative to the barycentric reference is shown to satisfy a first-order,non-linear differential equation. This in turn means that t…