Quasistatic Cracks and Minimal Energy Surfaces
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© 1998 American Physical Society (APS). This is the accepted version of the following article: Räisänen, V. I. & Seppala, E. T. & Alava, Mikko J. & Duxbury, P. M. 1998. Quasistatic Cracks and Minimal Energy Surfaces. Physical Review Letters. Volume 80, Issue 2. 329-332. ISSN 0031-9007 (printed). DOI: 10.1103/physrevlett.80.329, which has been published in final form at http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.80.329.
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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329-332
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Physical Review Letters, Volume 80, Issue 2
Abstract
We compare the roughness of minimal energy (ME) surfaces and scalar “quasistatic” fracture (SQF) surfaces. Two-dimensional ME and SQF surfaces have the same roughness scaling, w∼Lζ ( L is the system size) with ζ=23. The 3d ME and SQF results at strong disorder are consistent with the random-bond Ising exponent ζ(d≥3)≈0.21(5−d) ( d is the bulk dimension). However, 3d SQF surfaces are rougher than ME surfaces due to a larger prefactor. ME surfaces undergo a “weakly rough” to “algebraically rough” transition in 3d, suggesting a similar behavior in fracture.Description
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Räisänen, V. I. & Seppala, E. T. & Alava, Mikko J. & Duxbury, P. M. 1998. Quasistatic Cracks and Minimal Energy Surfaces. Physical Review Letters. Volume 80, Issue 2. 329-332. ISSN 0031-9007 (printed). DOI: 10.1103/physrevlett.80.329.