F. Erdogan et Bh. Wu, THE SURFACE CRACK PROBLEM FOR A PLATE WITH FUNCTIONALLY GRADED PROPERTIES, Journal of applied mechanics, 64(3), 1997, pp. 449-456
In this study rite plane elasticity problem for a nonhomogeneous layer
containing a crack perpendicular to the boundaries is considered. It
is assumed that the Young's modulus of the medium varies continuously
in the thickness direction. The problem is solved under three differen
t loading conditions, namely fired grip, membrane loading, and bending
applied to the layer away from the crack region. Mode I stress intens
ity factors are presented for embedded as well as edge cracks for vari
ous values of dimensionless parameters representing the size and the l
ocation of the crack and the material nonhomogeneity. Some sample resu
lts are also given for the crack-opening displacement and the stress d
istribution.