Scaling of Crack Surfaces and Implications on Fracture Mechanics

Abstract

The scaling laws describing the roughness development of crack surfaces are incorporated into the Griffith criterion. We show that, in the case of a Family-Vicsek scaling, the energy balance leads to a purely elastic brittle behavior. On the contrary, it appears that an anomalous scaling reflects a R-curve behavior associated to a size effect of the critical resistance to crack growth in agreement with the fracture process of heterogeneous brittle materials exhibiting a microcracking damage.

Revtex, 4 pages, 3 figures, accepted for publication in Physical Review Letters

References in corpus (3)

• Super-roughening versus intrinsic anomalous scaling of surfaces
• Anomalous Scaling of Fracture Surfaces
• Anomalous roughening of wood fractured surfaces

Cited by in corpus (8)

• Statistical Models of Fracture
• Deformation of crystals: Connections with statistical physics
• Size effects in statistical fracture
• Role of disorder in the size-scaling of material strength
• Anomalous roughening of Hele-Shaw flows with quenched disorder
• Size Effect in Fracture: Roughening of Crack Surfaces and Asymptotic Analysis
• Anomalous Roughening in Experiments of Interfaces in Hele-Shaw Flows with Strong Quenched Disorder
• Universal dynamic scaling in chemical reactions at and away from equilibrium