64 citations · 354 across the 29 of their papers we have counts for
7 papers · 1 filter
Inertial motion of incompressible continua
Francesca Berlinghieri, Giulio G. Giusteri
We study the inertial motion of incompressible continua within a geometric and variational framework, extending the classical Arnold-Ebin-Marsden theory from the group of volume-pr…
Periodic rhomboidal cells for symmetry-preserving homogenization and isotropic metamaterials
Giulio G. Giusteri, Raimondo Penta
In the design and analysis of composite materials based on periodic arrangements of sub-units it is of paramount importance to control the emergent material symmetry in relation to…
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…
Importance and effectiveness of representing the shapes of Cosserat rods and framed curves as paths in the special Euclidean algebra
Giulio G. Giusteri, Eliot Fried
We discuss how the shape of a special Cosserat rod can be represented as a path in the special Euclidean algebra. By shape we mean all those geometric features that are invariant u…
Solution of the Kirchhoff-Plateau problem
Giulio G. Giusteri, Luca Lussardi, Eliot Fried
The Kirchhoff-Plateau problem concerns the equilibrium shapes of a system in which a flexible filament in the form of a closed loop is spanned by a liquid film, with the filament b…
Nonlinear free fall of one-dimensional rigid bodies in hyperviscous fluids
Giulio G. Giusteri, Alfredo Marzocchi, Alessandro Musesti
We consider the free fall of slender rigid bodies in a viscous incompressible fluid. We show that the dimensional reduction (DR), performed by substituting the slender bodies with…
Steady free fall of one-dimensional bodies in a hyperviscous fluid at low Reynolds number
Giulio G. Giusteri, Alfredo Marzocchi, Alessandro Musesti
The paper is devoted to the study of the motion of one-dimensional rigid bodies during a free fall in a quasi-Newtonian hyperviscous fluid at low Reynolds number. We show the exist…