Font Size:
A generalized dimensional analysis approach to fatigue crack growth
Last modified: 2013-05-03
Abstract
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.
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.
Full Text:
PDF