Two-dimensional, plane strain, finite element analyses of strength-mismatch
ed welded joints have been performed using the modified boundary layer form
ulation. The welds were idealized as two-material joints with the material
interface running parallel to the crack, which was embedded in the weld mat
erial. The Rousselier ductile damage model was employed within the weld mat
erial to simulate crack extension due to the growth and coalescence of micr
ovoids. By analysing models with different levels of material mismatching,
weld dimensions and applied T-stress levels, it was possible to analyse the
effects of crack tip constraint due to both material mismatching and speci
men geometry on the fracture resistance of the weld material.
The results show that material strength overmatching (where the weld materi
al is stronger than the base material) reduces the level of constraint ahea
d of the crack, which can increase the resistance to fracture of the weld m
aterial. Conversely, material strength undermatching increases crack tip co
nstraint, reducing the fracture resistance of the joint. By employing estim
ates for the crack tip constraint levels, Q(M), based on the applied load,
level of material mismatching and weld region thickness, it has been possib
le to 'order' the F-resistance curves of overmatched joints by generating a
family of F-Q(M) loci which describe the effects Of constraint on the frac
ture resistance of the weld material. However, it is shown that the Q(M)-st
ress parameter is not capable of describing the effect of material strength
undermatching on the fracture resistance of a joint, which can be much low
er than that obtained from a high-constraint homogeneous specimen of weld m
aterial.