Quasistatic Cracks and Minimal Energy Surfaces
Loading...
Journal Title
Journal ISSN
Volume Title
School of Science |
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Unless otherwise stated, all rights belong to the author. You may download, display and print this publication for Your own personal use. Commercial use is prohibited.
Date
1998
Major/Subject
Mcode
Degree programme
Language
en
Pages
329-332
Series
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
Keywords
minimal energy surfaces, scalar quasistatic fracture surfaces, roughness
Other note
Citation
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.
