301 citations · 897 across the 43 of their papers we have counts for
44 papers
Axisymmetric deformation of compressible, nearly incompressible, and incompressible thin layers between two rigid surfaces
Alexander B. Movchan, Kirill R. Rebrov, Gregory J. Rodin
Accurate asymptotic solutions are presented for axisymmetric deformation of thin layers constrained by either two rigid plates or two rigid spheres. Those solutions are developed u…
Omnidirectional flexural invisibility of multiple interacting voids in vibrating elastic plates
D. Misseroni, A. B. Movchan, D. Bigoni
In elasticity, the design of a cloaking for an inclusion or a void to leave a vibrational field unperturbed by its presence, so to achieve its invisibility, is a thoroughly analyze…
On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions
Vladimir Maz'ya, Alexander Movchan, Michael Nieves
In this paper we consider formal asymptotic algorithms for a class of meso-scale approximations for problems of vibration of elastic membranes, which contain clusters of small iner…
Wave polarisation and dynamic degeneracy in a chiral elastic lattice
G. Carta, I. S. Jones, N. V. Movchan +1
This paper addresses fundamental questions arising in the theory of Bloch-Floquet waves in chiral elastic lattice systems. This area has received a significant attention in the con…
Scattering from a non-linear structured interface
Domenico Tallarico, Natalia V. Movchan, Alexander B. Movchan
We review the scattering from non-linear interfaces containing buckling elastic beams. An illustrative example is discussed here of scattering of linear elastic pressure waves from…
Platonic Localisation: One Ring to Bind Them
A. B. Movchan, R. C. McPhedran, G. Carta +1
In this paper, we present an asymptotic model describing localised flexural vibrations along a structured ring containing point masses or spring-mass resonators in an elastic plate…