65 citations · 185 across the 24 of their papers we have counts for
27 papers
On a notion of nonlocal curvature tensor
Roberto Paroni, Paolo Podio-Guidugli, Brian Seguin
In the literature various notions of nonlocal curvature can be found. Here we propose a notion of nonlocal curvature tensor. This we do by generalizing an appropriate representatio…
Analytical Thermodynamics
Paolo Podio-Guidugli, Epifanio G. Virga
This paper proposes a theory that bridges classical analytical mechanics and nonequilibrium thermodynamics. Its intent is to derive the evolution equations of a system from a stati…
On the Nonlocal Curvatures of Surfaces with or without Boundary
Roberto Paroni, Paolo Podio-Guidugli, Brian Seguin
For surfaces without boundary, nonlocal notions of directional and mean curvatures have been recently given. Here, we develop alternative notions, special cases of which apply to s…
Continuum balances from extended Hamiltonian dynamics
Giulio G. Giusteri, Paolo Podio-Guidugli, Eliot Fried
The classical procedure devised by Irving and Kirkwood in 1950 and completed slightly later by Noll produces counterparts of the basic balance laws of standard continuum mechanics…
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…
A Justification of the Timoshenko Beam Model through -Convergence
Lior Falach, Roberto Paroni, Paolo Podio-Guidugli
We validate the Timoshenko beam model as an approximation of the linear-elasticity model of a three-dimensional beam-like body. Our validation is achieved within the framework of $…