Mikko J Alava et al 2009 J. Phys. D: Appl. Phys. 42 214012 doi:10.1088/0022-3727/42/21/214012
Mikko J Alava1, Phani K V V Nukala2 and Stefano Zapperi3,4
Show affiliationsWe 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.
81.40.Np Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure
02.50.-r Probability theory, stochastic processes, and statistics
Issue 21 (7 November 2009)
Received 29 December 2008, in final form 16 March 2009
Published 22 October 2009
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