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Fractal models in rock fracture analysis
Author(s) -
Silberschmidt V.V.,
Silberschmidt V.G.
Publication year - 1990
Publication title -
terra nova
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.353
H-Index - 89
eISSN - 1365-3121
pISSN - 0954-4879
DOI - 10.1111/j.1365-3121.1990.tb00106.x
Subject(s) - fractal , fracture (geology) , discretization , brittleness , geology , fractal dimension , basis (linear algebra) , rock mass classification , fractal analysis , geotechnical engineering , geometry , materials science , mathematics , mathematical analysis , composite material
On the basis of a statistical‐thermodynamic description, we have derived constitutive equations of a medium with microstructural defects. Using a fractal approach, we account for the stochastic nature of mechanical properties and their effect on the process of fracture development. As an example, we have performed a numerical simulation of quasi‐brittle fracture of a beam having a rectangular cross‐section. We have studied the effect of non‐uniform strength on the fracture process. We propose an effective computational procedure to study the fracture development in time and space compatible with the conventional discretization schemes (finite elements or others). Prospects of application of this approach to the fracture of a real rock mass are discussed.