29 citations · 153 across the 20 of their papers we have counts for
22 papers
Towards a phase-field model for thin structures: a coarse-grained constitutive law for brittle fracture of beams
Giovanni Corsi, Antonino Favata, Stefano Vidoli
Damage gradient models approximate fracture mechanics using a modulation of the material stiffness. To this aim a single scalar field, the damage, is used to degrade as a whole the…
Competition between epithelial tissue elasticity and surface tension in cancer morphogenesis
Antonino Favata, Roberto Paroni, Filippo Recrosi +1
We derive a continuum mechanical model to capture the morphological changes occurring at the pretumoral stage of epithelial tissues. The proposed model aims to investigate the comp…
Enhanced models for the nonlinear bending of planar rods: localization phenomena and multistability
Matteo Brunetti, Antonino Favata, Stefano Vidoli
We deduce a 1D model of elastic planar rods starting from the Föppl--von Kármán model of thin shells. Such model is enhanced by additional kinematical descriptors that keep explici…
An atomistic-based Föppl-von Kármán model for graphene
Cesare Davini, Antonino Favata, Roberto Paroni
We deduce a non-linear continuum model of graphene for the case of finite out-of-plane displacements and small in-plane deformations. On assuming that the lattice interactions are…
A nonlinear theory for fibre-reinforced magneto-elastic rods
Jacopo Ciambella, Antonino Favata, Giuseppe Tomassetti
We derive a model for the finite motion of a magneto-elastic rod reinforced with isotropic (spherical) or anisotropic (ellipsoidal) inclusions. The particles are assumed weakly and…
A 2D metamaterial with auxetic out-of-plane behavior and non-auxetic in-plane behavior
Cesare Davini, Antonino Favata, Andrea Micheletti +1
Customarily, in-plane auxeticity and synclastic bending behavior (i.e. out-of-plane auxeticity) are not independent, being the latter a manifestation of the former. Basically, this…
A new material property of graphene: the bending Poisson coefficient
Cesare Davini, Antonino Favata, Roberto Paroni
The in-plane infinitesimal deformations of graphene are well understood: they can be computed by solving the equilibrium problem for a sheet of isotropic elastic material with suit…
A REBO-potential-based model for graphene bending by -convergence
Cesare Davini, Antonino Favata, Roberto Paroni
An atomistic to continuum model for a graphene sheet undergoing bending is presented. Under the assumption that the atomic interactions are governed by a harmonic approximation of…
The Gaussian Stiffness of Graphene deduced from a Continuum Model based on Molecular Dynamics Potentials
Cesare Davini, Antonino Favata, Roberto Paroni
We consider a discrete model of a graphene sheet with atomic interactions governed by a harmonic approximation of the 2nd-generation Brenner potential that depends on bond lengths,…
How graphene flexes and stretches under concomitant bending couples and tractions
Antonino Favata, Andrea Micheletti, Paolo Podio-Guidugli +1
We propose a geometrically and physically nonlinear discrete mechanical model of graphene that assigns an energetic cost to changes in bond lengths, bond angles, and dihedral angle…
An analytical benchmark for MD codes: testing LAMMPS on the 2nd generation Brenner potential
Antonino Favata, Andrea Micheletti, Seunghwa Ryu +1
An analytical benchmark is proposed for graphene and carbon nanotubes, that may serve to test whatsoever molecular dynamics code implemented with REBO potentials. By exploiting the…
Geometry and Self-Stress of Single-Wall Carbon Nanotubes and Graphene via a Discrete Model Based on a 2nd-Generation REBO Potential
Antonino Favata, Andrea Micheletti, Paolo Podio-Guidugli +1
The main purpose of this paper is to evaluate the self-stress state of single-wall carbon nanotubes (CNTs) and flat graphene strips (FGSs) in their natural equilibrium state, that…
A Beam Theory Consistent with Three-Dimensional Thermo-Elasticity
Antonino Favata
We propose a model for thermo-elastic beams, consistent with the theory of linear three-dimensional thermo-elasticity and deduced by a suitable version of the Principle of Virtual…
A Nonlinear Theory of Prestressed Elastic Stick-and-Spring Structures
Antonino Favata, Andrea Micheletti, Paolo Podio-Guidugli
The discrete modeling of a large class of mechanical structures can be based on a stick-and-spring concept. We here present a stick-and-spring theory with potential application to…
A Shell Theory for Chiral Single-Wall Carbon Nanotubes
Antonino Favata, Paolo Podio-Guidugli
In this paper, we propose a characterization of the mechanical response of the linearly elastic shell we associate to a single-wall carbon nanotube of arbitrary chirality. In Bajaj…
A revised exposition of the Green-Naghdi theory of heat propagation
Swantje Bargmann, Antonino Favata, Paolo Podio-Guidugli
We offer a revised exposition of the three types of heat-propagation theories proposed by Green and Naghdi, in the form they were given in 1992-3. Those theories, which make use of…
On Energy and Entropy Influxes in the Green-Naghdi Type III Theory of Heat Conduction
Swantje Bargmann, Antonino Favata, Paolo Podio-Guidugli
The energy-influx/entropy-influx relation in the Green-Naghdi Type III theory of heat conduction is examined within a thermodynamical framework à la Mueller-Liu, where that relatio…
On the Kelvin Problem
Antonino Favata
The Kelvin problem of an isotropic elastic space subject to a concentrated load is solved in a manner that exploits the problem's built-in symmetries so as to determine in the firs…
On a Nanoscopically-Informed Shell Theory of Single-Wall Carbon Nanotubes
Chandrajit Bajaj, Antonino Favata, Paolo Podio-Guidugli
This paper proposes a bottom-up sequence of modeling steps leading to a nanoscopically informed continuum, and as such macroscopic, theory of single-walled carbon nanotubes (SWCNTs…
A New CNT-Oriented Shell Theory
Antonino Favata, Paolo Podio-Guidugli
A theory of linearly elastic orthotropic shells is presented, with potential application to the continuous modeling of Carbon NanoTubes. Two relevant features are: the selected typ…
On shear and torsion factors in the theory of linearly elastic rods
Antonino Favata, Andrea Micheletti, Paolo Podio-Guidugli
Lower bounds for the factors entering the standard notions of shear and torsion stiffness for a linearly elastic rod are established in a new and simple way. The proofs are based o…
Energy Splitting Theorems for Materials with Memory
Antonino Favata, Paolo Podio-Guidugli, Giuseppe Tomassetti
We extend to materials with fading memory and materials with internal variables a result previously established by one of us for materials with instantaneous memory: the additive d…