Instability, shear banding, and failure in granular materials

Conditions for steady-state growth of buckling-driven delamination in thin film systems can be calculated by a simplified method where details around the growing front are not required. The simplified method relies upon estimates of the phase angle of loading along the propagating front of delamination and the accuracy of these estimates are investigated by comparing with finite element calculations of the fracture mechanics parameters along the growing front. The sensitivity of the parameters to the shape of the front is investigated and it is shown that the simplified approach for estimating the phase angle of loading on the growing front of delamination is very accurate. A comparison is made between steady-state delamination growth along circular paths of different curvatures but with identical widths so that the phase angle of loading on the growing front can be assumed to be the same independent of the curvature.