Quasi-static cracks and minimal energy surfaces

Details Quasi-static cracks and minimal energy surfaces Quasi-static cracks and minimal energy surfaces

1998-01-15

arxiv.org/abs/cond-mat/9801163v1

Phys. Rev. Lett. 80, 329 (98)

Physics

Condensed Matter

7 pages, aps.sty-latex, 7 figures

Scientific paper

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.

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