Digital Repository, ICF12, Ottawa 2009

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A generalized dimensional analysis approach to fatigue crack growth
M. Ciavarella, M. Paggi, A. Carpinteri

Last modified: 2013-05-03


Barenblatt & Botvina have pioneered dimensional analysis arguments to show
that Paris' power-law shows "incomplete similarity", and the Paris' parameters C
and m are not true material constants. We generalize the approach to explore the
functional dependencies of m and C on more dimensionless parameters than
Barenblatt & Botvina, and more experimental results, for materials including both
metals and concrete. We discuss the size-scale dependencies of m and C which
are quite different for the two class of materials, but explain known empirical
correlations between the constants C and m.

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