Results have shown that the crack induced damage increased nonlinearly with a larger crack size.
Instead of estimating the largest crack size with the distribution of maxima, prediction of the shortest expectable initiation time is obtained using the distribution of minima.
Two types of size effect are considered––Type I, characterizing failure of structures with large cracks or notches, and Type II, characterizing failure at crack initiation.
Similarly as for the failure strain, the analysis shows that the failure stress remains significantly higher than the corresponding LEFM prediction even at very large relative crack sizes.
Higher-order integration methods, such as the midpoint method, allow larger step size but require evaluation of crack growth rate at crack sizes larger than the current one.
One-Step Generalized Estimating Equations with Large Cluster Sizes.
Can work with large file sizes.
After a discussion of the efficiencies of the methods, we first consider the crack growth example (1) with the initial crack size being uncertain.
These observations suggest that delamination crack sizes scale with loading of the primary crack front expressed in terms of J/σ0.
The quake, with a magnitude of 6.9, left a large crack in a dam in the area.
