In this paper, a finite element procedure to determine a fracture para
meter hd is presented for welded structures with consideration of resi
dual stresses. The method is based on the energy difference of two cra
cked solids with slightly different crack sizes. Our computational res
ults show that J(1d) and the I integral agree well for a cracked plate
without consideration of residual stresses. When the residual stresse
s are considered, the values of J(1d) for different contours close to
the crack tip in the cracked plate subject to remote tensile stresses
are in good agreement. The computational results also indicate that fo
r the given residual stress distribution, the values of J(1d) with con
sideration of residual stresses are lower than those without considera
tion of residual stresses for the cracked plate subject to large remot
e tensile stresses.