65 citations · 185 across the 24 of their papers we have counts for
11 papers · 1 filter
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…
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 $…
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…
On variational dimension reduction in structure mechanics
Roberto Paroni, Paolo Podio-Guidugli
The classical low-dimensional models of thin structures are based on certain a priori assumptions on the three-dimensional deformation and/or stress fields, diverse in nature but a…
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…