87 citations · 284 across the 9 of their papers we have counts for
10 papers
On the Mathematical Structure of Helical Shear in Anelastic Continua
Souhayl Sadik, Giuseppe Saccomandi, Luigi Vergori
We study helical shear of a thick-walled tube made of an incompressible, isotropic hyper-anelastic solid carrying a radially symmetric distribution of axial screw dislocations. Thr…
Cooling a spherical nematic shell
Gaetano Napoli, Luigi Vergori
Within the framework of Landau-de Gennes theory for nematic liquid crystals, we study the temperature-induced isotropic-nematic phase transition on a spherical shell. Below a criti…
Nematic versus ferromagnetic shells: new insights in curvature-induced effects
Gaetano Napoli, Oleksandr V. Pylypovskyi, Denis D. Sheka +1
Within the framework of continuum theory, we draw a parallel between ferromagnetic materials and nematic liquid crystals confined on curved surfaces, which are both characterized b…
Straightening wrinkles
Michel Destrade, Ray W. Ogden, Ivonne Sgura +1
We consider the elastic deformation of a circular cylindrical sector composed of an incompressible isotropic soft solid when it is straightened into a rectangular block. In this pr…
Straightening: Existence, uniqueness and stability
Michel Destrade, Ray W. Ogden, Ivonne Sgura +1
One of the least studied universal deformations of incompressible nonlinear elasticity, namely the straightening of a sector of a circular cylinder into a rectangular block, is rev…
On anisotropic elasticity and questions concerning its Finite Element implementation
Luigi Vergori, Michel Destrade, Patrick McGarry +1
We give conditions on the strain-energy function of nonlinear anisotropic hyperelastic materials that ensure compatibility with the classical linear theories of anisotropic elastic…
Wrinkles and creases in the bending, unbending and eversion of soft sectors
Taisiya Sigaeva, Robert Mangan, Luigi Vergori +2
We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its…
Influence of the Extrinsic Curvature on 2D Nematic Films
Gaetano Napoli, Luigi Vergori
Nematic interfaces are thin fluid films, ideally two-dimensional, endowed with an in-plane degenerate nematic order. In this letter we examine a generalisation of the classical Pla…
Hydrodynamic theory for nematic shells: the interplay among curvature, flow and alignment
Gaetano Napoli, Luigi Vergori
We derive the hydrodynamic equations for nematic liquid crystals lying on curved substrates. We invoke the Lagrange-Rayleigh variational principle to adapt the Ericksen-Leslie theo…
Surface free energies for nematic shells
Gaetano Napoli, Luigi Vergori
We propose a continuum model to describe the molecular alignment in thin nematic shells. By contrast with previous accounts, the two-dimensional free energy, aimed at describing th…