107 citations · 245 across the 8 of their papers we have counts for
8 papers
Nested Bloch waves in elastic structures with configurational forces
Francesco Dal Corso, Domenico Tallarico, Natalia V. Movchan +2
Small axial and flexural oscillations are analyzed for a periodic and infinite structure, constrained by sliding sleeves and composed of elastic beams. A nested Bloch-Floquet techn…
Interfacial waveforms in chiral lattices with gyroscopic spinners
Marta Garau, Giorgio Carta, Michael Nieves +3
We demonstrate a new method of achieving topologically protected states in a discrete hexagonal lattice by attaching gyroscopic spinners, which bring chirality to the system. Dispe…
Parabolic Metamaterials and Dirac Bridges
D. J. Colquitt, N. V. Movchan, A. B. Movchan
A new class of multi-scale structures, referred to as `parabolic metamaterials' is introduced and studied in this paper. For an elastic two-dimensional triangular lattice, we ident…
Transformation elastodynamics and cloaking for flexural waves
D. J. Colquitt, M. Brun, M. Gei +3
The paper addresses an important issue of cloaking transformations for fourth-order partial differential equations representing flexural waves in thin elastic plates. It is shown t…
Localisation for a line defect in an infinite square lattice
D. J. Colquitt, M. J. Nieves, I. S. Jones +2
Localised defect modes generated by a finite line defect composed of several masses, embedded an infinite square cell lattice, are analysed using the linear superposition of Green'…
Vortex-type elastic structured media and dynamic shielding
Michele Brun, Ian S. Jones, Alexander B. Movchan
The paper addresses a novel model of metamaterial structure. A system of spinners has been embedded into a two-dimensional periodic lattice system. The equations of motion of spinn…
Periodically fighting shake, rattle and roll
M. Brun, A. B. Movchan, I. S. Jones
How easy is it to suppress shake, rattle and roll in a long bridge or a skyscraper? Most practical structures are designed so that long wave resonance vibrations can be avoided. Ho…
Asymptotic treatment of perforated domains without homogenization
V. Maz'ya, A. Movchan
As a main result of the paper, we construct and justify an asymptotic approximation of Green's function in a domain with many small inclusions. Periodicity of the array of inclusio…