Volume 59, Number 2, July 2002
|Page(s)||232 - 238|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 July 2002|
Chemical fracture statistics and universal distribution of extreme values
Laboratoire de Physique de la Matière
Condensée, Ecole Polytechnique 91128 Palaiseau, France
2 CMLA, Ecole Normale Supérieure - 94235 Cachan, France
3 INFM, Dipartimento di Fisica, Università di Roma “La Sapienza” P.le A. Moro, 2, I-00185 Roma, Italy
Accepted: 23 April 2002
When a corrosive solution reaches the limits of a solid sample, a chemical fracture occurs. An analytical theory for the probability of this chemical fracture is proposed and confirmed by extensive numerical experiments on a two-dimensional model. This theory follows from the general probability theory of extreme events given by Gumbel. The analytic law differs from the Weibull law commonly used to describe mechanical failures for brittle materials. However, a three-parameter fit with the Weibull law gives good results, confirming the empirical value of this kind of analysis.
PACS: 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 81.40.Np – Fatigue, corrosion fatigue, embrittlement, cracking, fracture and failure
© EDP Sciences, 2002
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