2000/11/06 by Stefano Zapperi, Michael Zaiser, Zapperi, Stefano +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0011083
8 pages, 4 figures. To appear in the proceedings of the Dislocations2000 meeting (published by Materials Science and Engeneering A)
arxiv created 2000/11/06 · arxiv updated 2009/11/30
The theory of the depinning transition of elastic manifolds in random media provides a framework for the statistical dynamics of dislocation systems at yield. We consider the case of a single flexible dislocation gliding through a random stress field generated by a distribution of immobile dislocations threading through its glide plane. The immobile dislocations are arranged in a "restrictedly random" manner and provide an effective stress field whose statistical properties can be calculated explicitly. We write an equation of motion for the dislocation and compute the associated depinning force, which may be identified with the yield stress. Numerical simulations of a discretized version of the equation confirm these results and allow us to investigate the critical dynamics of the pinning-depinning transition.