Iutam Symposium on Scaling in Solid Mechanics: Proceedings of the Iutam Symposium Held in Cardiff, UK, 25-29 June, 2007
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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 fields. Scaling is a rapidly expanding area of research having multidisciplinaryapplications. The expertise represented in the Symposium was accordingly very wide, and many of the world's greatest authorities in their respective fields participated. Scaling methods apply wherever there is similarity across many scales or a 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 fundamental research issues of practical significance. The topics considered included damage accumulation, growth of fatigue cracks, development of patterns of flaws in the earth's core and in ice, abrasiveness of rough surfaces, and so on. The Symposium showed that scaling methods cannot be reduced solely to dimensional analysis and fractal approaches. Modern scaling approaches consist of a great diversity of techniques. These proceedings contain lectures on state-of-the-art developments in self-similar solutions, fractal models, models involving interplay between different scales, size effects in fracture of solids and bundles of fibres, scaling in problems of fracture mechanics, nanomechanics, contact mechanics and testing of materials by indentation, scaling issues in mechanics of agglomeration of adhesive particles, and in biomimetic of adhesive contact.
Universal Effective Toughness Distribution for Heterogeneous Brittle Materials S. Roux Y. Charles F. Hild D. Vandembroucq 1Scaling Transformations in Solid Mechanics Feodor M. Borodich 11Mathematical Foundations of Non-Classical Extensions of Similarity Theory Stephan Rudolph 27Perturbing Paths of Slow Cracks in PMMA by Local Heating L. Fradkin V. Mishakin N. Alford A Dobroskok A. Linkov G. Mishuris 37Multiscale Hybrid Materials with Negative Poisson's Ratio E. Pasternak A. V. Dyskin 49Modelling of Size Effects with Gradient-Enriched Continuum Theories Harm Askes Inna M. Gitman Angelo Simone Lambertus J. Sluys 59Internal Variables and Scale Separation in Dynamics of Microstructured Solids Arkadi Berezovski Juri Engelbrecht Gerard A. Maugin 69On Rational Boundary Conditions for Higher-Order Long-Wave Models J.D. Kaplunov A.V. Pichugin 81Scaling of Physical Processes in Fluid-Driven Fracture: Perspective from the Tip Dmitry I. Garagash 91Space and Time Scaling Laws Induced by the Multiscale Fracturing of The Arctic Sea Ice Cover Jerome Weiss David Marsan Pierre Rampal 101Similarity Approach to Hertz Type Contact Problems Boris A. Galanov 111Multiscale Modelling in Contact Mechanics Irina G. Goryacheva 123Recent Progress in Energetic Probablistic Scaling Laws for Quasi-Brittle Fracture Zdenek P. Bazant Jia-Liang Le 135The Fractal-Statistical Nature of Size-Scale Effects on Material Strength and Toughness Alberto Carpinteri Simone Puzzi 145Scaling Laws for Properties of Materials with Imperfect Interfaces J. Wang B.L. Karihaloo H.L. Duan 157Burst Statistics as a Criterion for Imminent Failure Srutarshi Pradhan Alex Hansen Per C. Hemmer165Scaling in Damage Accumulation L.R. Botvina 177Scaling of Effective Moduli of Generalised Continua A.V. Dyskin E. Pasternak 189An Influence of the Elastic Properties of Composite Components on the Mechanical Response of Polycrystalline Structures at Yield Level Tomasz Sadowski Eligiusz Postek 199Statistical Length Scale in Weibull Strength Theory and Its Interaction with Other Scaling Lengths in Quasibrittle Failure Miroslav Vorechovsky 209Finite Fracture Mechanics for Fractal Cracks Arash Yavari Michael P. Wnuk 223Fractal Geometry and Mechanics of Randomly Folded Thin Sheets Alexander S. Balankin Orlando Susarrey Huerta 233Contact Mechanics at the Insect-Plant Interface: How Do Insects Stick and How Do Plants Prevent This? Elena V. Gorb Stanislav N. Gorb 243Morphological Evolution of Inhomogeneities Due to Diffusion and Epitaxy H.L. Duan 253Some New Results on Fibre Models H.J. Herrmann F. Kun F. Raischel 263Self-Similar Structural Systems with No-Unloading and Scale-Invariant Strength Distributions Dmitry A. Onishchenko 273Scaling and Hierarhical Structure of Cohesive Agglomerates of Nanoparticles Leon M. Keer Feodor M. Borodich Binoy M. Shah 287Size-Dependent Bending of Thin Metallic Films H.X. Zhu B.L. Karihaloo 299
