Roughness of fracture surfaces

Abstract

We study the fracture surface of three dimensional samples through a model for quasi-static fractures known as Born Model. We find for the roughness exponent a value of 0.5 expected for ``small length scales'' in microfracturing experiments. Our simulations confirm that at small length scales the fracture can be considered as quasi-static. The isotropy of the roughness exponent on the crack surface is also shown. Finally, considering the crack front, we compute the roughness exponents for longitudinal and transverse fluctuations of the crack line (both 0.5). They result in agreement with experimental data, and supports the possible application of the model of line depinning in the case of long-range interactions.

10 pages, 5 figures, Latex

References in corpus (2)

• Quasi-static cracks and minimal energy surfaces
• Dynamics of Fractures in Quenched Disordered Media

Cited by in corpus (5)

• Statistical Models of Fracture
• 2-loop Functional Renormalization Group Theory of the Depinning Transition
• The large-scale organization of chemical reaction networks in astrophysics
• Effect of the porosity on the fracture surface roughness of sintered materials: From anisotropic to isotropic self-affine scaling
• Brittle Crack Roughness in Three-Dimensional Beam Lattices