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Size effects in statistical fracture

Mikko J Alava1, Phani K V V Nukala2 and Stefano Zapperi3,4

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We review statistical theories and numerical methods employed to consider the sample size dependence of the failure strength distribution of disordered materials. We first overview the analytical predictions of extreme value statistics and fibre bundle models and discuss their limitations. Next, we review energetic and geometric approaches to fracture size effects for specimens with a flaw. Finally, we overview the numerical simulations of lattice models and compare with theoretical models.


PACS

81.40.Np Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure

02.50.-r Probability theory, stochastic processes, and statistics

61.43.-j Disordered solids

62.20.M- Structural failure of materials

Subjects

Computational physics

Condensed matter: structural, mechanical & thermal

Dates

Issue 21 (7 November 2009)

Received 29 December 2008, in final form 16 March 2009

Published 22 October 2009



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