This work is devoted so show the appearance of different cracking modes in
linearly elastic thin film systems by means of an asymptotic analysis as the
thickness tends to zero. By superposing two thin plates, and upon suitable
scaling law assumptions on the elasticity and fracture parameters, it is proven
that either debonding or transverse cracks can emerge in the limit. A model
coupling debonding, transverse cracks and delamination is also discussed
