79 citations · 198 across the 13 of their papers we have counts for
6 papers · 1 filter
A way to hypo-elastic artificial materials without a strain potential and displaying flutter instability
G. Bordiga, A. Piccolroaz, D. Bigoni
Cauchy-elastic solids include hyper-elasticity and a subset of elastic materials for which the stress does not follow from a scalar strain potential. More in general, hypo-elastic…
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…