Deterministic and probabilistic lifetimes from kinetic crack growth—generalized forms

The lifetime prediction methodology developed here is an addendum to and a generalization of that given earlier by Christensen and Miyano [Christensen RM, Miyano Y (2006) Int J Frac 137:77-87]. The previous results were not sufficiently general to model some of the results in the intermediate time ranges. The present results still retain the kinetic crack formalism but include more general forms that are in accordance with data. This new method admits both deterministic and probabilistic forms. Specific applications are given for creep rupture and constant strain rate programs. Possible applications are for any materials types whose very long term creep rupture behavior takes a power law form.