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 byindentation, scaling issues in mechanics of
agglomeration of adhesive particles, and in biomimetic of adhesive
contact.
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