Tn. Farris et Jf. Doyle, A GLOBAL-LOCAL APPROACH TO LENGTHWISE CRACKED BEAMS - DYNAMIC ANALYSIS, International journal of fracture, 60(2), 1993, pp. 147-156
A simple model is developed for the calculation of dynamic stress inte
nsity factors for lengthwise cracked beams subjected to impact or tran
sient loading. The model is based on a Global/Local approach that sepa
rates the Global structural dynamics from the Local crack tip zone dom
inated by singular stresses. The Global model is that of connected wav
eguides while the Local model is based on a novel application of the J
-integral that converts dynamic structural resultants directly into st
rain energy release rate. The accuracy of this approach is assessed by
comparing it to a fully two-dimensional finite element analysis in wh
ich the modified crack closure integral is used to calculate the dynam
ic strain energy release rate. Both mode I and mode 11 examples are gi
ven, and situations with multiple wave reflections are emphasized.