Universal Size Effect Law and Effect of Crack Depth on Quasi-Brittle Structure Strength
Publication: Journal of Engineering Mechanics
Volume 135, Issue 2
Abstract
In cohesive fracture of quasi-brittle materials such as concrete, rock, fiber composites, tough ceramics, rigid foams, sea ice, and wood, one can distinguish six simple and easily modeled asymptotic cases: the asymptotic behaviors of very small and very large structures, structures failing at crack initiation from a smooth surface and those with a deep notch or preexisting deep crack, the purely statistical Weibull-type size effect, and the purely energetic (deterministic) size effect. Size effect laws governing the transition between some of these asymptotic cases have already been formulated. However, a general and smooth description of the complex transition between all of them has been lacking. Here, a smooth universal law bridging all of these asymptotic cases is derived and discussed. A special case of this law is a formula for the effect of notch or crack depth at fixed specimen size, which overcomes the limitations of a recently proposed empirical formula by Duan et al., 2003, 2004, 2006.
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Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 2 • February 2009
Pages: 78 - 84
Copyright
© 2009 ASCE.
History
Received: May 18, 2006
Accepted: Jul 29, 2008
Published online: Feb 1, 2009
Published in print: Feb 2009
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