H. Gong et al., ANALYTICAL NUMERICAL SOLUTIONS FOR A SINGLE HOLE-EDGE CRACK IN A WIDEPLATE UNDER PURE BENDING/, Engineering fracture mechanics, 46(5), 1993, pp. 743-749
Several solutions to the bending problem of an edge crack on a hole on
the neutral axis in a wide plate are presented. Linear elastic fractu
re mechanics is used to generate analytical solutions for pure bending
assuming no width or length effects. The finite element method is als
o used to analyze certain configurations. Obviously, the trade-off bet
ween the analytical and numerical analyses involves the required level
of accuracy in the solution. Therefore, some sensitivity and converge
nce studies using both analytical and numerical FE solutions are prese
nted. The analytical solution is found to be within a few percent of t
he numerical predictions.