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Propagation of a shear crack in a compressed plane with a circular hole
Author(s) -
Galybin A. N.
Publication year - 1998
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/(sici)1096-9853(199803)22:3<175::aid-nag913>3.0.co;2-3
Subject(s) - breakout , classification of discontinuities , borehole , mohr–coulomb theory , shear (geology) , coulomb , geology , geotechnical engineering , excavation , boundary value problem , plane (geometry) , mechanics , structural engineering , geometry , engineering , mathematics , physics , mathematical analysis , finite element method , economics , electron , petrology , finance , quantum mechanics
The problem of the equilibrium of a plane with a circular hole and a shear crack is considered to model failure of an excavation (borehole or circular opening) in rocks weakened by discontinuities (planes of weakness). It is assumed that sliding occurs in a part of the plane of weakness when the Mohr–Coulomb friction criterion is satisfied due to the stress redistribution caused by the excavation. The method of singular integral equations is employed to solve the boundary value problem. Geomechanical problems concerning borehole breakout and rockburst caused by fault‐opening interaction are discussed. © 1998 John Wiley & Sons, Ltd.