Mathematical Modelling of Waves in Multi-Scale Structured Media

• Utgivningsdatum: 2017-11-08
• Mått: 156 x 234 x 20 mm
• Vikt: 498 g
• Format: Inbunden
• Språk: Engelska
• Serie: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
• Antal sidor: 258
• Förlag: Taylor & Francis Inc
• ISBN: 9781498782098

• Tillämpad matematik
• Fysik
• Matematik
• Materietillstånd

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.

"This book is aimed at specialists in applied mathematics, physics and engineering. The material is based upon the authors’ research into waves in structured media, dealing with the dynamic response of elastic structures, cracks and interfaces. The mathematical techniques mostly used are Green’s function, asymptotic approximations and numerical simulations. Chapter 1 contains a brief introduction to some ideas and notions and a description of the material in the book. In Chapter 2, dispersion is discussed using linear water waves; also, Bloch-Floquet waves, standing waves and asymptotic lattice approximations are introduced. The elastic problems involving flexural waves on an elastic foundation and waves in chains of particles are discussed. Chapter 3 deals with waves in structured media and ligaments. The asymptotic problems arising from thin interfaces and disintegrating are also dealt with. In Chapter 4, dispersion in periodic structures, dynamic localization and defects in lattices are discussed. Chapter 5 deals with cloaking of waves in which the scattered wave is suppressed by an encompassing structure. In Chapter 6, the models of structured interfaces and chiral media are introduced. Although prerequisite notions are briefly discussed in Chapter 2, some knowledge of asymptotic and singular perturbations and waves in continuous media would be desirable."-Fiazud Din Zaman (Lahore) - Zentralblatt MATH 1397 — 1

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