The propagation of interlayer cracks and:the resulting failure of the inter
face is a typical mode occurring in rock engineering and masonry structure.
On the basis of the theory of elastoplasticity and fracture mechanics, the
shear beam model for the solution of interface failure was presented. The
concept of 'cohesive crack' was adopted to describe the constitutive behavi
or of the cohesive interfacial layer. Related fundamental equations such as
equilibrium equation, constitutive equations were presented. The behavior
of a double shear beam bonded through cohesive layer was analytically calcu
lated. The stable propagation of interface crack and process zone was inves
tigated.