Mathematical Modelling of Waves in Multi-Scale Structured Media

Alexander B. Movchan, Natasha V. Movchan, Ian S. Jones, Daniel J. Colquitt

November 8, 2017 by Chapman and Hall/CRC
Reference - 248 Pages - 40 B/W Illustrations
ISBN 9781498782098 - CAT# K30027
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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Features

  • Provides a comprehensive modelling guide to wave propagation in elastic metamaterials
  • Brings novel insights into the dynamic response of solids, which include multi-scale resonators. The book is based on the results of original research.
  • Addresses the very rare topic of the dynamic response of "disintegrating solids", using advanced tools of singular perturbation analysis
  • Includes a step-by-step explanation of dynamic anisotropy and directional localisation for structured solids. This also includes analysis of so-called stop-band Green’s functions
  • Presents cloaking as a method of channelling of waves around obstacles. Special attention is also given to methods of cloaking for flexural waves in elastic plates.

Summary

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.

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