M. Newby, ANALYZING CRACK-GROWTH, Proceedings of the Institution of Mechanical Engineers. Part G, Journal of aerospace engineering, 212(G3), 1998, pp. 157-166
Deterministic models of crack growth can be fitted to experimental dat
a. This paper shows that stochastic growth models are easy to use and
provides a simple framework for data analysis. A simple transformation
allows the standard linear regression model to be used and opens the
way for a fully Bayesian analysis. The Bayesian analysis allows the in
corporation of prior information and coherent predictions of crack len
gth to be made. The parameters of the Paris-Erdogan model are readily
evaluated directly from crack length data without the need for interme
diate estimates of the crack growth rate. The approach lends itself to
the analysis of properly designed experiments to determine the effect
of environmental factors on the parameters of the Paris-Erdogan equat
ion through the medium of accelerated failure time models. The paper a
lso emphasizes the need for adequate communication between experimente
r and statistician to ensure efficient experimental designs.