Incollection,

Fracture, wetting, and polymer statistics

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

A pearl possesses a remarkable layered structure on nano-scales, nacre, which gives not only the beauty but the strength. We first discuss studies on fracture of such structures where hard sheets are glued together by soft and thin layers as in nacre 1. We limit ourselves to the case in which soft part is extremely soft and derive an analytical solution of the stress field around a crack tip. The solution reveals a reduction of stress concentration at the tip due to the special structure, which could account for the strength of the structure. We next briefly discuss different but recent works on fracture, wetting, and polymer statistics: (A) wetting transitions on and liquid penetration to textured substrates (theory 2 plus experiment 3), (B) fracture of soft polymer foam (experiment 4), (C) possibility of a single molecular observation of polymer statistics (theory 5,6), (D) stress concentration in networks (simulation 7), and (E) fate of a two-dimensional bubble (experiment 8). \noindent References enumerate Ko Okumura and Pierre-Gilles de Gennes, Why is nacre strong? : Elastic theory and fracture mechanics for biocomposites with stratified structures, Eur. Phys. J. E 4 (2001) 121-127. Chieko Ishino and Ko Okumura, Nucleation scenarios for wetting transition on textured surfaces: the effect of contact angle hysteresis, Europhys. Lett. 76 (2006) 464-470. Chieko Ishino, Mathilde Reyssat, Etienne Reyssat, Ko Okumura and David Quéré, Wicking in a forest of micro-pillars (submitted) Yumi Shiina, Yukari Hamamoto and Ko Okumura, Fracture of soft cellular solids - case of noncrosslinked polyethylene foam, Europhys. Lett. 76 (2006) 588-594. Kyoko Kawai and Ko Okumura, Correlation in a Gaussian chain with the ends fixed, Eur. Phys. J. E 21 (2006) 223-230. Kyoko Kawai and Ko Okumura, Single molecular statistics of an optically tweezed polymer: a theoretical consideration, Chem. Phys. Lett. (accepted for publication). Satoko Nakagawa and Ko Okumura, Crack-tip stress concentration and mesh size in networks (submitted). Ayako Eri and Ko Okumura, Thinning of liquid film encapsulating a two-dimensional air bubble (submitted). enumerate

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