Crack front \'echelon instability in mixed mode fracture of a strongly nonlinear elastic solid

Abstract

Mixed mode (I+III) loading induces segmented crack front \'echelon structures connected by steps. We study this instability in a highly deformable, strain-hardening material. We find that \'echelons develop beyond a finite, size-independent mode mixity threshold, markedly growing with energy release rate. They appear via nucleation of localized helical front distortions, and their emergence is the continuation of the mode I cross-hatching instability of gels and rubbers, shifted by the biasing effect of shear. This result, at odds with the direct bifurcation predicted by linear elastic fracture mechanics, can be assigned to the controlling role of elastic nonlinearity.