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Dynamic Green's functions in discrete flexural systems
K. H. Madine, D. J. Colquitt
The paper presents an analysis of the dynamic behaviour of discrete flexural systems composed of Euler--Bernoulli beams. The canonical object of study is the discrete Green's funct…
An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces
P. T. Wootton, J. Kaplunov, D. J. Colquitt
We consider a periodic array of resonators, formed from Euler-Bernoulli beams, attached to the surface of an elastic half-space. Earlier studies of such systems have concentrated o…
Elastic wave control beyond band-gaps: shaping the flow of waves in plates and half-spaces
Andrea Colombi, Richard Craster, Daniel Colquitt +4
It is well known in metamaterials that local resonance and hybridization phenomena dramatically influence the shape of dispersion curves; the metasurface created by a cluster of re…
Fluid-loaded metasurfaces
E. A. Skelton, R. V. Craster, A. Colombi +1
We consider wave propagation along fluid-loaded structures which take the form of an elastic plate augmented by an array of resonators forming a metasurface, that is, a surface str…