  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.
