The fractal two-level finite element method has been proved to be very effi
cient and accurate for determining the stress intensity factor (SIF) for mo
de I and mode II two-dimensional crack problem. One main reason is that the
method does not require new finite element and can be implemented easily w
ith existing commercial packages. In this paper we extend the two-level fin
ite element method to mode III (out of plane deformation) two-dimensional c
rack. Accurate determination of SIF will be demonstrated and results will b
e compared with the literature.