Size Effect in Fracture: Roughening of Crack Surfaces and Asymptotic Analysis

Details Size Effect in Fracture: Roughening of Crack Surfaces and Asymptotic Analysis Size Effect in Fracture: Roughening of Crack Surfaces and Asymptotic Analysis

2002-01-04

arxiv.org/abs/cond-mat/0201045v1

Physics

Condensed Matter

Materials Science

9 pages, 6 figures, accepted for publication in Physical Review B

Scientific paper

10.1103/PhysRevB.65.104101

Recently the scaling laws describing the roughness development of fracture surfaces was proposed to be related to the macroscopic elastic energy released during crack propagation [Mor00]. On this basis, an energy-based asymptotic analysis allows to extend the link to the nominal strength of structures. We show that a Family-Vicsek scaling leads to the classical size effect of linear elastic fracture mechanics. On the contrary, in the case of an anomalous scaling, there is a smooth transition from the case of no size effect, for small structure sizes, to a power law size effect which appears weaker than the linear elastic fracture mechanics one, in the case of large sizes. This prediction is confirmed by fracture experiments on wood.

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