HOW TO FIND K-DOMINANT REGION

hii all..

i am working on fracture mechanics. i had modeled a 4 pt bend specimen having single notch crack(in ABAQUS). i am trying to find the range of K-dominant region at the crack tip.i had modelled radial mesh at the crack tip and using 20 noded reduced integration elements. To analyze the K-dominat region, primarily i had compared the theoritical stress plots and computational stress plots. stress plots means Sxx Syy Sxy values plotted againt the angle(angle measured from uncracked segment) at particular radius.

 i request your suggestions, relevent papers and comments.

thanks

best wishes

ravitej