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Elastoplastic deformation around underground openings under biaxial initial stress field
Author(s) -
Obara Yuzo,
Sugawara Katsuhiko
Publication year - 1997
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(199710)21:10<721::aid-nag904>3.0.co;2-2
Subject(s) - displacement (psychology) , displacement field , deformation (meteorology) , plasticity , hydrostatic equilibrium , stress field , boundary element method , stress (linguistics) , finite element method , mechanics , hydrostatic stress , structural engineering , stress–strain curve , geotechnical engineering , field (mathematics) , boundary value problem , materials science , geology , engineering , mathematics , composite material , mathematical analysis , physics , psychology , linguistics , philosophy , quantum mechanics , pure mathematics , psychotherapist
Estimation of elastoplastic deformation around an underground opening induced by the excavation of it, especially displacement and strain field in plastic region, is presented in this paper, as well as the formulation for calculating the displacement and strain in the plastic region around the underground opening by the coupled Boundary Element Method ‐ Characteristics Method (BEM‐CM). In this method, the non‐associated flow rule is adopted to calculate the displacement and strain field in the plastic region, which is determined by the integration of the displacement along characteristics lines under the boundary condition of the elastic displacement on an elastoplastic interface analysed. It is shown that this method is one of the accurate and effective methods for estimating not only the shape and extent of the plastic region but also the state of the displacement and strain in the plastic region around the underground opening, comparing the theoretical solution with numerical results by this method for a circular opening under hydrostatic initial stress condition. Furthermore, this method is applied to rectangular and horse‐shoe shaped openings and the characteristics of the strain field in the plastic region are discussed. © 1997 by John Wiley & Sons, Ltd.