IUTAM Symposium on Scaling in Solid Mechanics

1. Front Matter

   Pages I-XIV

   PDF

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

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.

• IUTAM
• Metall
• development
• geometry
• linear optimization
• mechanics
• microstructure
• modeling
• scaling
• solid mechanics
• statistics
• transformation

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

  F.M. Borodich

Policies and ethics