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Determination of plastic regions around underground openings by a coupled boundary‐element‐characteristics method
Author(s) -
Obara Yuzo,
Nakayama Tomoharu,
Sugawara Katsuhiko,
Aoki Toshiro,
Jang Hyun Kuk
Publication year - 1992
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/nag.1610161002
Subject(s) - boundary element method , boundary (topology) , coupling (piping) , structural engineering , boundary knot method , geotechnical engineering , finite element method , geology , geometry , materials science , mathematics , engineering , mathematical analysis , composite material
A two‐dimensional hybrid method for solving elastoplastic problems in engineering is presented by coupling two existing methods, namely, the boundary element method and the characteristics method. The formulation of this method is presented, as well as an excellent procedure for the determination of the boundary between elastic and plastic regions. It is shown not only that this method is a powerful and accurate method for evaluating the shape and extent of the plastic region around rock caverns, which is of prime importance for the construction of rock caverns, but also applicable to a given range of the initial stress field ratio where only compressive failure occurs. Then, some typical examples are solved in order to check the accuracy of the solution by this method. Furthermore, its successful applications are presented and discussed to determine the shape and the extent of the plastic regions around parallel, circular and rectangular openings.