Anomalous roughness of fracture surfaces in 2D fuse models (Articolo in rivista)

Type
Label
  • Anomalous roughness of fracture surfaces in 2D fuse models (Articolo in rivista) (literal)
Anno
  • 2008-01-01T00:00:00+01:00 (literal)
Alternative label
  • Nukala, PKVV; Zapperi, S; Alava, MJ; Simunovic, S (2008)
    Anomalous roughness of fracture surfaces in 2D fuse models
    in International journal of fracture (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Nukala, PKVV; Zapperi, S; Alava, MJ; Simunovic, S (literal)
Pagina inizio
  • 119 (literal)
Pagina fine
  • 130 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 154 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • \"[Nukala, Phani K. V. V.; Simunovic, Srdan] Oak Ridge Natl Lab, Div Math & Comp Sci, Oak Ridge, TN 37831 USA; [Zapperi, Stefano] Univ Modena & Reggio Emilia, CNR, Dipartimento Fis, INFM, Modena, Italy; [Zapperi, Stefano] ISI Fdn, I-10133 Turin, Italy; [Alava, Mikko J.] Helsinki Univ Technol, Dept Appl Phys, FIN-02150 Espoo, Finland (literal)
Titolo
  • Anomalous roughness of fracture surfaces in 2D fuse models (literal)
Abstract
  • We study anomalous scaling and multi-scaling of two-dimensional crack profiles in the random fuse model using both periodic and open boundary conditions. Our large scale and extensively sampled numerical results reveal the importance of crack branching and coalescence of microcracks, which induce jumps in the solid-on-solid crack profiles. Removal of overhangs (jumps) in the crack profiles eliminates the multiscaling observed in earlier studies and reduces anomalous scaling. We find that the probability density distribution p(Delta h(l)) of the height differences Delta h(l) = [h(x+l)-h(x)] of the crack profile obtained after removing the jumps in the profiles has the scaling form p(Delta h(l)) = (Delta h(2)(l)>(-1/2) f(Delta h(l)/(Delta h(2)(l)>(1/2)), and follows a Gaussian distribution even for small bin sizes l. The anomalous scaling can be summarized with the scaling relation [(1/2)/(Delta h(2)(L/2)>(1/2)](1/zeta loc)+(l-L/2)(2)/(L/2)(2) = 1, where (1/2) similar to L-zeta and L is the system size. (literal)
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