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IUTAM Symposium on Scaling in Solid Mechanics

Proceedings of the IUTAM Symposium held in Cardiff, UK, 25-29 June, 2007

  • Conference proceedings
  • © 2009

Overview

Editors:
  1. F.M. Borodich

    1. School of Engineering, Cardiff University, Cardiff CF24 3AA, UK

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  • IUTAM Symposia represent the state of the art in their field, with contributions from leading scientists

Part of the book series: IUTAM Bookseries (IUTAMBOOK, volume 10)

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Table of contents (28 papers)

  1. Front Matter

    Pages I-XIV
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  2. Universal Effective Toughness Distribution for Heterogeneous Brittle Materials

    • S. Roux, Y. Charles, F. Hild, D. Vandembroucq
    Pages 1-10

  3. Scaling Transformations in Solid Mechanics

    • Feodor M. Borodich
    Pages 11-26

  4. Mathematical Foundations of Non-Classical Extensions of Similarity Theory

    • Stephan Rudolph
    Pages 27-35

  5. Perturbing Paths of Slow Cracks in PMMA by Local Heating

    • L. Fradkin, V. Mishakin, N. Alford, A Dobroskok, A. Linkov, G. Mishuris
    Pages 37-47

  6. Multiscale Hybrid Materials with Negative Poisson’s Ratio

    • E. Pasternak, A.V. Dyskin
    Pages 49-58

  7. Modelling of Size Effects with Gradient-Enriched Continuum Theories

    • Harm Askes, Inna M. Gitman, Angelo Simone, Lambertus J. Sluys
    Pages 59-68

  8. Internal Variables and Scale Separation in Dynamics of Microstructured Solids

    • Arkadi Berezovski, Jüri Engelbrecht, Gérard A. Maugin
    Pages 69-80

  9. On Rational Boundary Conditions for Higher-Order Long-Wave Models

    • J.D. Kaplunov, A.V. Pichugin
    Pages 81-90

  10. Scaling of Physical Processes in Fluid-Driven Fracture: Perspective from the Tip

    • Dmitry I. Garagash
    Pages 91-100

  11. Space and Time Scaling Laws Induced by the Multiscale Fracturing of The Arctic Sea Ice Cover

    • Jérôme Weiss, David Marsan, Pierre Rampal
    Pages 101-109

  12. Similarity Approach to Hertz Type Contact Problems

    • Boris A. Galanov
    Pages 111-122

  13. Multiscale Modelling in Contact Mechanics

    • Irina G. Goryacheva
    Pages 123-134

  14. Recent Progress in Energetic Probablistic Scaling Laws for Quasi-Brittle Fracture

    • Zdeněk P. Bažant, Jia-Liang Le
    Pages 135-144

  15. The Fractal-Statistical Nature of Size-Scale Effects on Material Strength and Toughness

    • Alberto Carpinteri, Simone Puzzi
    Pages 145-155

  16. Scaling Laws for Properties of Materials with Imperfect Interfaces

    • J. Wang, B.L. Karihaloo, H.L. Duan
    Pages 157-163

  17. Burst Statistics as a Criterion for Imminent Failure

    • Srutarshi Pradhan, Alex Hansen, Per C. Hemmer
    Pages 165-175

  18. Scaling in Damage Accumulation

    • L.R. Botvina
    Pages 177-187

  19. Scaling of Effective Moduli of Generalised Continua

    • A.V. Dyskin, E. Pasternak
    Pages 189-198

  20. An Influence of the Elastic Properties of Composite Components on the Mechanical Response of Polycrystalline Structures at Yield Level

    • Tomasz Sadowski, Eligiusz Postek
    Pages 199-208
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Keywords

About this book

This volume constitutes the Proceedings of the IUTAM Symposium on ‘Scaling in Solid Mechanics’, held in Cardiff from 25th to 29th June 2007. The Symposium was convened to address and place on record topical issues in theoretical, experimental and computational aspects of scaling approaches to solid mechanics and related elds. Scaling is a rapidly expanding area of research having multidisciplinary - plications. The expertise represented in the Symposium was accordingly very wide, and many of the world’s greatest authorities in their respective elds participated. Scaling methods apply wherever there is similarity across many scales or one need to bridge different scales, e. g. the nanoscale and macroscale. The emphasis in the Symposium was upon fundamental issues such as: mathematical foundations of scaling methods based on transformations and connections between multi-scale approaches and transformations. The Symposium remained focussed on fundam- tal research issues of practical signicance. The considered topics included damage accumulation, growth of fatigue cracks, development of patterns of aws in earth’s core and inice, abrasiveness of rough surfaces, and soon. The Symposium consisted of forty-two oral presentations. All of the lectures were invited. Full record of the programme appears as an Appendix. Several of the lectures are not represented, mainly because of prior commitments to publish elsewhere. The proceedings p- vide a reasonable picture of understanding as it exists at present. The Symposium showed that scaling methods cannot be reduced solely to dimensional analysis and fractal approaches.

Editors and Affiliations

  • School of Engineering, Cardiff University, Cardiff CF24 3AA, UK

    F.M. Borodich

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