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Mathematical Modelling of Waves in Multi-Scale Structured Media

Alexander B. Movchan | Natasha V. Movchan | Ian S. Jones | Daniel J. Colquitt
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A. B. Movchan
A01=Alexander B. Movchan
A01=Daniel J. Colquitt
A01=Ian S. Jones
A01=Natasha V. Movchan
Ambient Lattice
Asymptotic Homogenisation
asymptotic methods
Author_Alexander B. Movchan
Author_Daniel J. Colquitt
Author_Ian S. Jones
Author_Natasha V. Movchan
Bloch Floquet Waves
Category=PB
Category=PBW
Category=PH
Category=PHFP
Cloaking
cloaking in solids
D. J. Colquitt
Dispersion Diagram
Dispersion Equation
Dispersion Surfaces
Dynamic Anisotropy
elastic lattices and discretised elastic membranes
elastic wave propagation
Elastic Waves
Elementary Cell
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Floquet-Bloch theory
Floquet-Bloch waves
Green's Functions
Green’s Functions
I. S. Jones
Infinite Periodic Structure
Leading Order Problem
Linear differential operators
Localised Defect Mode
Localised Waveform
Monatomic Lattice
N. V. Movchan
Negative Refraction
Non-dimensional Mass
Out-of Plane Displacement
periodic media analysis
phononic band gaps
Shear Wave
Singular perturbation analysis
Slowness Contours
Spinner Constant
Standing Waves
Stop Band
structured elastic lattice modeling
Structured Interfaces
Vortex-type resonators

Product details

  • ISBN 9781498782098
  • Weight: 498g
  • Dimensions: 156 x 234mm
  • Publication Date: 08 Nov 2017
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Description

Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic, phononic, and platonic crystals.
About Alexander B. Movchan | Daniel J. Colquitt | Ian S. Jones | Natasha V. Movchan

Alexander Movchan is a Professor at the University of Liverpool, Natasha Movchan is a Professor at the University of Liverpool, Ian Jones is a Professor at Liverpool John Moores University and an Honorary Fellow at the University of Liverpool, and Daniel Colquitt is a Lecturer at the University of Liverpool. The authors have worked on wave propagation in multi-scale elastic media over many years and have developed novel modelling approaches, which have opened efficient ways to design and study the dynamic response of multi-scale structures known as elastic metamaterials introduced within the last decade.

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