2000/04/30 by Andrea Parisi, A Parisi, Guido Caldarelli +3 · 2 citations
Engineering · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #Numerical methods in engineering #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1209/epl/i2000-00439-9
published as Europhys. Lett. 52(3), pp. 304-310 (2000) · 10 pages, 5 figures, Latex
openalex publication_date 2000/11/01 · arxiv created 2002/05/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We study the roughness of fracture surfaces of three-dimensional samples through numerical simulations of a model for quasi-static cracks known as Born Model. We find for the roughness exponent a value ζ ≃ 0.5 measured 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 showed. Finally, considering the crack front, we compute the roughness exponents of longitudinal and transverse fluctuations of the crack line (ζ ∥ ∼ ζ ⊥ ∼ 0.5). They result in agreement with experimental data, and support the possible application of the model of line depinning in the case of long-range interactions.