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

PREFACE CHAPTER 1: Wave Propagation and ScatteringJ. Kaplunov, V. Kovalev and M. Wilde, Asymptotic Analysis of Higher Order Peripheral Modes in Acoustic Wave Scattering by an Elastic Cylinder or Sphere C.M. Linton, Embedding Formulas and Singularities in Acoustic Scattering A. Nicolet, S. Guenneau, F. Zolla, C. Geuzaine, B. Kulhmey and G. Renversez, Numerical Investigation of Photonic Crystal Fibers by Spectral and Multipole methods Y.A. Antipov and V.V. Silvestrov, Method of Hyperelliptic Surfaces for Vector Functional-Difference Equations S.V. Vladimirov, M.P. Hertzberg and N.F. Cramer, Dynamics of Charge Rotators and Lattice Waves in a Plasma Environment O. Avila-Pozos, A.B. Movchan and S.V. Sorokin, Propagation of Elastic Waves Along Interfaces in Layered Beams S.B. Platts and N.V. Movchan, Low Frequency Band Gaps and Localised Modes for Arrays of Coated Inclusions J.S. Jensen and O. Sigmund, Phononic Band Gap Structures as Optimal Designs I.M. Mohamed-Guled, J.B. Lawrie, A Parametric Investigation of the Acoustic Power in a Two-dimensional Waveguide with Membrane Bounded Cavity J. Servant, S. Guenneau, A.B. Movchan and C. Poulton, Vibrations of a Circular Cylinder in Oblique Incidence RevisitedI.F. Bercial-Velez, Asymptotic Analysis of a 'Crack' in a Layer of Finite ThicknessV. Zalipaev, Summation of Gaussian Beams in 3D Problems of Radiation and Scattering of Elastic Waves CHAPTER 2: Asymptotics for Eigenvalue Problems A.G. Aslanyan, A.B. Movchan and O. Selsil, Asymptotics for the First Six Eigenfrequencies of a 1D-3D Multi-structure E. Babenkova and J. Kaplunov, The Two-term Interior Asymptotic Expansion in the Case of Low-frequency Longitudinal Vibrations of an Elongated Elastic Rectangle C.G. Poulton, S. Guenneau, A.B. Movchan and A. Nicolet, Transverse Propagating Waves in Perturbed Periodic Structures D.J. Hasanyan, G.T. Piliposian, A.H. Kamalyan and M.I. Karakhanyan, Anti-Plane Harmonic Problems for a Class of Elastic Materials with Functional