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IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics

  • Conference proceedings
  • © 2004

Overview

Editors:
  1. A. B. Movchan

    1. University of Liverpool, UK

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  • Contributes towards wider dissemination of the recent developments in asymptotic analysis, mathematical modelling in continuum mechanics and engineering applications

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 113)

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Table of contents (56 papers)

  1. Front Matter

    Pages i-2
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  2. Wave propagation and scattering

    1. Front Matter

      Pages 3-3
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    2. Asymptotic Analysis of Higher Order Peripheral Modes in Acoustic Wave Scattering by an Elastic Cylinder or Sphere

      • J. Kaplunov, V. Kovalev, M. Wilde
      Pages 5-14

    3. Embedding Formulas and Singularities in Acoustic Scattering

      • C. M. Linton
      Pages 15-22

    4. Numerical Investigation of Photonic Crystal Fibers by Spectral and Multipole Methods

      • A. Nicolet, S. Guenneau, F. Zolla, C. Geuzaine, B. Kuhlmey, G. Renversez
      Pages 23-32

    5. Method of Hyperelliptic Surfaces for Vector Functional-Difference Equations

      • Y. A. Antipov, Silvestrov V. V.
      Pages 33-42

    6. Dynamics of Charge Rotators and Lattice Waves in a Plasma Environment

      • S.V. Vladimirov, M.P. Hertzberg, N.F. Cramer
      Pages 43-52

    7. Propagation of Elastic Waves along Interfaces in Layered Beams

      • O. Avila-Pozos, A. B. Movchan, S. V. Sorokin
      Pages 53-61

    8. Low Frequency Band Gaps and Localised Modes for Arrays of Coated Inclusions

      • S. B. Platts, N. V. Movchan
      Pages 63-71

    9. Phononic Band Gap Structures as Optimal Designs

      • Jakob S. Jensen, Ole Sigmund
      Pages 73-83

    10. A Parametric Investigation of the Acoustic Power in a Two-Dimensional Waveguide with Membrane Bounded Cavity

      • Idil M. Mohamed-Guled, Jane B. Lawrie
      Pages 85-94

    11. Vibrations of a Circular Cylinder in Oblique Incidence Revisited

      • J. Servant, S. Guenneau, A. B. Movchan, C. Poulton
      Pages 95-104

    12. Asymptotic Analysis of a “Crack” in a Layer of Finite Thickness

      • J. P. Bercial-Velez
      Pages 105-112

    13. Summation of Gaussian Beams in 3D Problems of Radiation and Scattering of Elastic Waves

      • V. Zalipaev
      Pages 113-123

  3. Asymptotics for eigenvalue problems

    1. Front Matter

      Pages 125-125
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    2. Asymptotics for the First Six Eigenfrequencies of a 1D-3D Multi-Structure

      • A. G. Aslanyan, A. B. Movchan, Ö. Selsil
      Pages 127-135

    3. The Two-Term Interior Asymptotic Expansion in the Case of Low-frequency Longitudinal Vibrations of an Elongated Elastic Rectangle

      • E. Babenkova, J. Kaplunov
      Pages 137-145

    4. Transverse Propagating Waves in Perturbed Periodic Structures

      • C. G. Poulton, S. Guenneau, A. B. Movchan, A. Nicolet
      Pages 147-157

    5. Anti-plane Harmonic Problems for a Class of Elastic Materials with Functional Inhomogeneity

      • D. J. Hasanyan, G. T. Piliposian, A. H. Kamalyan, M. I. Karakhanyan
      Pages 159-167

    6. On Analysing the Performance of a Dissipative Silencer: A Mode-Matching Approach

      • Jane B. Lawrie, Ray Kirby
      Pages 169-178
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Keywords

Editors and Affiliations

  • University of Liverpool, UK

    A. B. Movchan

Bibliographic Information

  • Book Title: IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics

  • Editors: A. B. Movchan

  • Series Title: Solid Mechanics and Its Applications

  • DOI: https://doi.org/10.1007/1-4020-2604-8

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media B.V. 2004

  • Hardcover ISBN: 978-1-4020-1780-3Published: 29 February 2004

  • eBook ISBN: 978-1-4020-2604-1Published: 09 May 2006

  • Series ISSN: 0925-0042

  • Series E-ISSN: 2214-7764

  • Edition Number: 1

  • Number of Pages: X, 624

  • Topics: Solid Mechanics, Vibration, Dynamical Systems, Control, Classical Mechanics

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