An asymptotic analysis for a crack lying on the interface of a damaged plas
tic material and a linear elastic material is presented in this paper. The
present results show that the stress distributions along the crack tip are
quite similar to those with HRR singularity field and the crack faces open
obviously. Material constants n, mu and mo are varied to examine their effe
cts on the resulting stress distributions and displacement distributions in
the damaged plastic region. It is found that the stress components sigma(r
r), sigma(theta theta), sigma(r theta) and sigma(e) are slightly affected b
y the changes of material constants n, mu and m(0), but the damaged plastic
region are greatly disturbed by these material parameters.