Yf. Chen et F. Erdogan, THE INTERFACE CRACK PROBLEM FOR A NONHOMOGENEOUS COATING BONDED TO A HOMOGENEOUS SUBSTRATE, Journal of the mechanics and physics of solids, 44(5), 1996, pp. 771-787
The debonding problem for a composite layer that consists of a homogen
eous substrate and a nonhomogeneous coating is considered. It is assum
ed that the problem is one of plane strain or generalized plane stress
and the elastic medium contains a crack along the interface. It is fu
rther assumed that the thermomechanical properties of the medium are c
ontinuous functions of the thickness coordinate with discontinuous der
ivatives and the kink line of the property distributions corresponds t
o the ''interface''. The mixed-mode crack problem is formulated for ar
bitrary crack surface tractions and sample results are given for unifo
rm normal and shear tractions. The main variables in the problem are t
wo dimensionless length parameters and a nonhmogeneity constant. Calcu
lated results consist of primarily the stress intensity factors and th
e strain energy release rate and are partly intended to provide benchm
ark solutions for further numerical studies.