Cellular automaton for the fracture of disordered media

Details Cellular automaton for the fracture of disordered media Cellular automaton for the fracture of disordered media

1992-11-21

arxiv.org/abs/cond-mat/9211015v1

Physics

Condensed Matter

9 pages, 6 figures (3 included), plain TeX (using vanilla.sty, epsf.tex), HLRZ-preprint 46/92

Scientific paper

We study numerically the growth of a crack in an elastic medium under the influence of a travelling shockwave. We describe the implementation of a fast algorithm which is perfectly suited for a data parallel computer. Using large scale simulations on the Connection Machine we generate cracks with more than 10000 sites on a $\scriptstyle 1024 \times 1024$ lattice. We show that the resulting patterns are fractal with a fractal dimension that depends on the chosen breaking criterion and varies between $\scriptstyle 1.$ and $\scriptstyle 2.$

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