Magic angles and cross-hatching instability in hydrogel fracture
arXiv:0801.1557 · doi:10.1103/PhysRevLett.100.178303
Abstract
The full 2D analysis of roughness profiles of fracture surfaces resulting from quasi-static crack propagation in gelatin gels reveals an original behavior characterized by (i) strong anisotropy with maximum roughness at -independent symmetry-preserving angles, (ii) a sub-critical instability leading, below a critical velocity, to a cross-hatched regime due to straight macrosteps drifting at the same magic angles and nucleated on crack-pinning network inhomogeneities. Step height values are determined by the width of the strain-hardened zone, governed by the elastic crack blunting characteristic of soft solids with breaking stresses much larger that low strain moduli.
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- How hidden 3D structure within crack fronts reveals energy balance
- How Material Heterogeneity Creates Rough Fractures
- Nonlinear focusing in dynamic crack fronts and the micro-branching transition
- Quenched disorder and instability control dynamic fracture in three dimensions
- Configurational stability of a crack propagating in a material with mode-dependent fracture energy -- Part II: Drift of fracture facets in mixed-mode I+II+III
- Size selection of crack front defects: Multiple fracture-plane interactions and intrinsic lengthscales
- The dynamics of crack front waves in 3D material failure