Influence of layer thickness on the stress distribution in the vicinit
y of a crack lip is examined, taking into account the fact that the co
nventional stress intensity factor concept becomes invalid if the thic
kness of the layer is not much more than the size of the fracture proc
ess zone. An eigen-problem is considered which is characterized by two
asymptotes. The first is a near one; it is formed in a small vicinity
of the crack tip in the layer thickness scale. The second asymptote i
s a far one in the same scale. The regions of validity of these asympt
otes are determined and shown to depend upon layer thickness, material
parameters and crack tip speed. The complete stress distribution in f
ront of the crack is obtained, as well. Some conclusions are made conc
erning the stress distribution and energy release rate for the general
problem. Mode III crack propagation is considered in detail.