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Quasistatic Cracks and Minimal Energy Surfaces
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Physical Review Letters, Volume 80, issue 2, pp. 329-332
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.
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Räisänen, V I, Seppälä, E T, Alava, M J & Duxbury, P M 1998, 'Quasistatic Cracks and Minimal Energy Surfaces', Physical Review Letters, vol. 80, no. 2, pp. 329-332. https://doi.org/10.1103/PhysRevLett.80.329