Abstract
We investigate by means of numerical simulation the system-size dependence of the sheardelamination strength of thin elastic films. The films are connected to a rigid substrateby a disordered interface containing a pre-existing crack. The size dependenceof the strength of this system is found to depend crucially on the crack shape.For circular cracks, we observe a crossover between a size-independent regime atlarge crack radii which is controlled by propagation of the pre-existing crack,and a size-dependent regime at small radii which is dominated by nucleation ofnew cracks in other locations. For cracks of finite width that span the systemtransversely, we observe for all values of the crack length a logarithmic system-sizedependence of the failure stress. The results are interpreted in terms of extreme valuestatistics.
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