Large-Scale Simulations of a Bi-dimensional n-Ary Fragmentation Model

A bi-dimensional n-ary fragmentation model is numerically studied by large-scale simulations. Its main assumptions are the existence of random point flaws and a fracture mechanism based on the larger net force. For the 4-ary fragment size distribution it was obtained a power law with exponent 1.0≤ β ≤ 1.15 . The visualizations of the model resemble brittle material fragmentation.

[1]  Farid F. Abraham,et al.  Portrait of a crack: rapid fracture mechanics using parallel molecular dynamics , 1997 .

[2]  G. Hernández,et al.  Expected transient time and damage spreading for the NER automaton on geometrically connected graphs , 2006 .

[3]  Ben-Naim,et al.  Scale invariance and lack of self-averaging in fragmentation , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[4]  Lene Oddershede,et al.  Exponential and power-law mass distributions in brittle fragmentation. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  B. Lawn.  Fracture of Brittle Solids by Brian Lawn , 1993 .

[6]  Gonzalo Hernández.  Two-dimensional model for binary fragmentation process with random system of forces, random stopping and material resistance , 2003 .

[7]  Astrom,et al.  Universality in fragmentation , 2000, Physical review letters.

[8]  Gonzalo Hernández.  Discrete model for fragmentation with random stopping , 2001 .

[9]  P. Krapivsky,et al.  Stable distributions in stochastic fragmentation , 2001, cond-mat/0108547.

[10]  A. Ávila,et al.  n-ary fragmentation model with nearest point flaw and maximal net force fracture , 2006 .

[11]  Donald L. Turcotte,et al.  Fractals and fragmentation , 1986 .

[12]  G. Hernández,et al.  Parallel and distributed simulations and visualizations of the Olami–Feder–Christiensen earthquake model☆ , 2002 .

[13]  Gonzalo Hernández,et al.  Large Scale Simulations of a Neural Network Model for the Graph Bisection Problem on Geometrically Connected Graphs , 2004, Electron. Notes Discret. Math..