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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. Homogenisation analysis and models of composite media

    1. Stochastic Homogenisation of Fluid Flows in Heterogeneous Porous Media

      • Ali Fadili, Philippe M. J. Tardy, J. R. Anthony Pearson
      Pages 351-361

    2. On Micromechanics-Based Nonlocal Modeling of Elastic Matrices Containing Non-Spherical Heterogeneities

      • I. Monetto, W. J. Drugan
      Pages 363-373

    3. Artificial Ferro-Magnetic Anisotropy: Homogenization of 3D Finite Photonic Crystals

      • F. Zolla, S. Guenneau
      Pages 375-384

    4. Homogenized Stiffnesses of Periodic Fibre-Reinforced Composites

      • Julian Bravo-Castillero, Raúl Guinovart-Diaz, Reinaldo Rodriguez-Ramos, Federico J. Sabina, Oscar C. Valdiviezo-Mijangos
      Pages 385-392

    5. Asymptotic Homogenisation in Strength and Fatigue Durability Analysis of Composites

      • S. E. Mikhailov, J. Orlik
      Pages 393-403

  2. Models associated with elastic plates, shells, rods and thin-walled composite structures

    1. Front Matter

      Pages 405-405
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    2. On a Kind of Singular Perturbations for Transmission Problems

      • E. Sanchez-Palencia
      Pages 407-416

    3. Asymptotics of Laminated Shells. Membrane — Bending Coupling and Numerical Implementation

      • H. Ranarivelo, J. Sanchez-Hubert
      Pages 417-429

    4. Exact Singular Solutions for an Inhomogeneous Thick Elastic Plate

      • A. J. M. Spencer
      Pages 431-443

    5. Stretch, Flexure and Twist in Finite Elasticity

      • David F. Parker
      Pages 445-454

    6. Asymptotic Analysis of Heat Transfer in a System of Channels Connected by Thin Conducting Walls

      • A. Selsil, A. B. Movchan, N. V. Movchan
      Pages 455-464

  3. Asymptotics of fields near non-smooth boundaries

    1. Front Matter

      Pages 465-465
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    2. Effect of a Thin Coating on the Stress Singularity at the Vertex of a Thin Conical Inclusion

      • D. Esparza, N.V. Movchan
      Pages 467-476

    3. 3D Singularities with Applications to Fatigue Crack Growth

      • Karsten Kolk, Günther Kuhn, Gennady Mishuris
      Pages 477-486

  4. Mathematical models of gas and fluid flows

    1. Front Matter

      Pages 487-487
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    2. A Diffusing Vortex Circle in a Viscous Fluid

      • L. E. Fraenkel, J. B. McLeod
      Pages 489-500

    3. Low Axial Reynolds Number, High Swirl Ratio, Vortex Breakdown in a Slowly Varying Tube

      • D. A. MacDonald
      Pages 501-511

    4. Supersonic Leading-Edge Noise

      • C. J. Powles
      Pages 513-521

  5. Non-linear waves

    1. Front Matter

      Pages 523-523
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    2. Envelope Equations for Modulated Non-Conservative Waves

      • Vadim N. Biktashev
      Pages 525-535
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Editors and Affiliations

  • University of Liverpool, UK

    A. B. Movchan

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