Introduction of scaling techniques in brittle fracture of rocks

Details Introduction of scaling techniques in brittle fracture of rocks Introduction of scaling techniques in brittle fracture of rocks

Dec 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994pepi...87...85a&link_type=abstract

Physics of the Earth and Planetary Interiors (ISSN 0031-9201), vol. 87, no. 1-2, p. 85-93

Mathematics

Probability

27

Brittle Materials, Creep Properties, Failure Analysis, Fracture Mechanics, Geophysics, Renormalization Group Methods, Rocks, Scaling Laws, Anisotropy, Mathematical Models, Probability Theory, Stress Distribution

Scientific paper

We use renormalization group approach to model the fracture behavior of rocks. Unlike our previous model which was one dimensional, we consider an anisotropic model with normal and tangential probabilities of fractures, and interactions between them. Under simplified assumptions, we are able to model the transition between creep and macroscopic failure, the 'catastrophic' brittle failure, with different orientations of fracture depending on the degree of confinement. All these results are a consequence of anisotropic stress.

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