New model for crack growth using random walkers

1993/02/16 by Peter Ossadnik, Ossadnik, Peter
Computer Science · Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Mathematical functions and polynomials #Matrix Theory and Algorithms #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9302021

27 pages, LaTex, article style, figures on request, HLRZ-preprint 106/92

arxiv created 1993/02/16 · openalex publication_date 1993/02/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In close analogy to diffusion limited aggregation (DLA) and inspired by a work of Roux, a random walker algorithm is constructed to solve the problem of crack growth in an elastic medium. In contrast to conventional lattice approaches, the stress field is not calculated throughout the whole medium, but random walkers are used to detect only the hot sites on the surface of the crack. Using this new method we generate crack-clusters up to sizes of 20,000 particles on simple workstations within reasonable time.

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