Titlebook: IUTAM Symposium on Scaling in Solid Mechanics; Proceedings of the I F.M. Borodich (borodichfm@cardiff.ac.uk) Conference proceedings 2009 Sp

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IUTAM Symposium on Scaling in Solid Mechanics978-1-4020-9033-2Series ISSN 1875-3507 Series E-ISSN 1875-3493

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https://doi.org/10.1007/978-1-4020-9033-2IUTAM; Metall; development; geometry; linear optimization; mechanics; microstructure; modeling; scaling; soli

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Perturbing Paths of Slow Cracks in PMMA by Local Heating,e micro-cracks act as notches and alleviate crack redirection. Therefore, one of our conclusions is that it might be possible to use relatively weak sources to redirect fast cracks that propagate with a super-critical speed. This hypothesis is advanced because fast cracks are also known to possess a

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,Multiscale Hybrid Materials with Negative Poisson’s Ratio,how that the minimum value of Poisson’s ratio achievable in this way is −1/3. Materials with positive and negative Poisson’s ratio can be combined into hybrid materials. For multiscale distribution of inclusions (wide distribution of sizes with the same concentration at each scale) we show that nega

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The Fractal-Statistical Nature of Size-Scale Effects on Material Strength and Toughness,mic plot, by the positive slope 1/2. These slopes are the natural consequence of perfect self-similarity of the flaw (or grain) size distribution. Eventually, the theoretical results regarding the link between fractals and statistics will be confirmed by numerical simulations.

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Scaling in Damage Accumulation, of propagating microcracks whose length is significantly larger than the grain size leads to initiation of the accelerated stage of damage development which is described by a power–like cumulative size – frequency distribution of defects. The slope of this distribution decreases with load and fract

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