Can crack front waves explain the roughness of cracks ?
arXiv:cond-mat/0108261 · doi:10.1016/S0022-5096(01)00137-5
Abstract
We review recent theoretical progress on the dynamics of brittle crack fronts and its relationship to the roughness of fracture surfaces. We discuss the possibility that the intermediate scale roughness of cracks, which is characterized by a roughness exponent approximately equal to 0.5, could be caused by the generation, during local instabilities by depinning, of diffusively broadened corrugation waves, which have recently been observed to propagate elastically along moving crack fronts. We find that the theory agrees plausibly with the orders of magnitude observed. Various consequences and limitations, as well as alternative explanations, are discussed. We argue that another mechanism, possibly related to damage cavity coalescence, is needed to account for the observed large scale roughness of cracks that is characterized by a roughness exponent approximately equal to 0.8
26 pages, 3 .eps figure. Submitted to J. Mech. Phys. Solids
References in corpus (1)
Cited by in corpus (39)
- Statistical Models of Fracture
- Glass breaks like metals, but at the nanometer scale
- Origin of the Universal Roughness Exponent of Brittle Fracture Surfaces: Correlated Percolation in the Damage Zone
- Width distribution of contact lines on a disordered substrate
- Effective toughness of heterogeneous brittle materials
- Fracture Roughness Scaling: a case study on planar cracks
- Non-steady relaxation and critical exponents at the depinning transition
- Thermal rounding of the depinning transition
- Intermittency and roughening in the failure of brittle heterogeneous materials
- Universal Statistics of the Critical Depinning Force of Elastic Systems in Random Media
- Numerical Approaches on Driven Elastic Interfaces in Random Media
- Spatio-temporal patterns in ultra-slow domain wall creep dynamics
- Can non-linear elasticity explain contact-line roughness at depinning?
- Turbulent fracture surfaces: A footprint of damage percolation?
- Thermal rounding exponent of the depinning transition of an elastic string in a random medium
- Universality Classes in Constrained Crack Growth
- Fractographic aspects of crack branching instability using a phase field model
- Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films
- Random-Manifold to Random-Periodic Depinning of an Elastic Interface
- Roughness of moving elastic lines - crack and wetting fronts
- Roughness of tensile crack fronts in heterogenous materials
- Dynamics of cracks in disordered materials
- The elastic depinning transition of vortex lattices in two dimensions
- Crack fronts and damage in glass at the nanometer scale
- Uniqueness of the thermodynamic limit for driven disordered elastic interfaces
- Crossed-ratchet effects and domain wall geometrical pinning
- Quasi-Static Brittle Fracture in Inhomogeneous Media and Iterated Conformal Maps: Modes I, II and III
- X-ray spectrum of a pinned charge density wave
- Effect of disorder geometry on the critical force in disordered elastic systems
- Crack path instabilities in DCDC experiments in the low speed regime
- Anisotropic finite-size scaling of an elastic string at the depinning threshold in a random-periodic medium
- Thermal Effects in the dynamics of disordered elastic systems
- A multiple scales approach to crack front waves
- Exact results for a toy model exhibiting dynamic criticality
- Coulombian Disorder in Periodic Systems
- Dynamic crack growth along heterogeneous planar interfaces: interaction with unidimensional strips
- Depinning as a coagulation process
- Dual Role for Heterogeneity in Dynamic Fracture
- Finite temperature crossovers in periodic disordered systems