Quasi-static cracks and minimal energy surfaces
Condensed Matter
2015-06-25 v1
Abstract
We compare the roughness of minimal energy(ME) surfaces and scalar ``quasi-static'' fracture surfaces(SQF). Two dimensional ME and SQF surfaces have the same roughness scaling, w sim L^zeta (L is system size) with zeta = 2/3. The 3-d ME and SQF results at strong disorder are consistent with the random-bond Ising exponent zeta (d >= 3) approx 0.21(5-d) (d is bulk dimension). However 3-d SQF surfaces are rougher than ME ones due to a larger prefactor. ME surfaces undergo a ``weakly rough'' to ``algebraically rough'' transition in 3-d, suggesting a similar behavior in fracture.
Cite
@article{arxiv.cond-mat/9801163,
title = {Quasi-static cracks and minimal energy surfaces},
author = {V. I. Raisanen and E. T. Seppala and M. J. Alava and P. M. Duxbury},
journal= {arXiv preprint arXiv:cond-mat/9801163},
year = {2015}
}
Comments
7 pages, aps.sty-latex, 7 figures