CELLULAR AUTOMATON FOR THE FRACTURE OF ELASTIC MEDIA

Peter Ossadnik
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Peter Ossadnik: HLRZ, KFA Jülich, Postfach 1913, D-5170 Jülich, Germany

International Journal of Modern Physics C (IJMPC), 1993, vol. 04, issue 01, 127-136

Abstract: 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 a1024 × 1024lattice. We show that the resulting patterns are fractal with a fractal dimension that depends on the chosen breaking criterion and varies between 1. and 2.

Date: 1993
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DOI: 10.1142/S0129183193000148

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