Ba. Bilby et al., THE USE OF CONSTRAINT-MODIFIED FAILURE ASSESSMENT LINES IN FAILURE ASSESSMENT DIAGRAMS, International journal of fracture, 75(4), 1996, pp. 323-334
Two possible methods of including the effect of constraint in a failur
e assessment diagram (FAD) of the R6 type are to change the definition
of the quantity K-tau (the ratio of the operative crack driving force
to the current material toughness) or to modify the failure assessmen
t line (FAL). An analysis of the relation between the treatment of duc
tile tearing using the FAD and the R-curve diagram, extended recently
to include constraint effects in modified diagrams of the first type i
s shown here also to hold for the second. Provided that the projected
growth path image (PGPI) is used to specify the motion of the assessme
nt point during crack growth there is a complete correspondence of R-c
urve analysis with either type of FAD. The two methods, both formulate
d for any number of generic constraint parameters, are compared using
a simple illustrative example in which the constraint is parametrized
by T. The methods previously discussed for testing the consistency or
conservatism of an engineering FAD can be extended to both types of ge
neralized diagram which allow for crack tip constraint.