38 citations · 79 across the 4 of their papers we have counts for
6 papers · 1 filter
Dynamics of prestressed elastic lattices: homogenization, instabilities, and strain localization
Giovanni Bordiga, Luigi Cabras, Andrea Piccolroaz +1
A lattice of elastic Rayleigh rods organized in a parallelepiped geometry can be axially loaded up to an arbitrary amount without distortion and then be subject to incremental time…
Incremental constitutive tensors and strain localization for prestressed elastic lattices: Part I -- quasi-static response
G. Bordiga, L. Cabras, A. Piccolroaz +1
A lattice of elastic rods organized in a parallelepiped geometry can be axially loaded up to an arbitrary amount without distortion and then be subject to incremental displacements…
Incremental constitutive tensors and strain localization for prestressed elastic lattices: Part II -- incremental dynamics
G. Bordiga, L. Cabras, A. Piccolroaz +1
Floquet-Bloch wave asymptotics is used to homogenize the in-plane mechanical response of a periodic grillage of elastic Rayleigh rods, possessing a distributed mass density, togeth…
Prestress tuning of negative refraction and wave channeling from flexural sources
G. Bordiga, L. Cabras, A. Piccolroaz +1
The quest for wave channeling and manipulation has driven a strong research effort on topological and architected materials, capable of propagating localized electromagnetical or m…
Free and forced wave propagation in a Rayleigh-beam grid: flat bands, Dirac cones, and vibration localization vs isotropization
G. Bordiga, L. Cabras, D. Bigoni +1
In-plane wave propagation in a periodic rectangular grid beam structure, which includes rotational inertia (so-called 'Rayleigh beams'), is analyzed both with a Floquet-Bloch exact…
Floquet-Bloch waves in periodic networks of the Rayleigh beams: honeycomb systems, dispersion degeneracies and structured interfaces
L. Cabras, A. B. Movchan, A. Piccolroaz
The paper addresses novel dispersion properties of elastic flexural waves in periodic structures which possess rotational inertia. The structure is represented as a lattice, whose…