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Analytical solutions for stresses and displacements around tunnels driven in cross‐anisotropic rocks
Author(s) -
Hefny A. M.,
Lo K. Y.
Publication year - 1999
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(199902)23:2<161::aid-nag963>3.0.co;2-b
Subject(s) - orthotropic material , anisotropy , stress (linguistics) , geotechnical engineering , materials science , mechanics , geology , structural engineering , engineering , physics , finite element method , optics , linguistics , philosophy
Abstract In this paper, closed‐form solutions for the stresses and displacements around unlined circular tunnels excavated in an elastic, orthotropic (cross‐anisotropic) medium are developed. The effect of both the elastic parameters characterizing the behaviour of the medium and the anisotropy of the initial stress system on the stresses and displacements induced are evaluated. An example of utilizing the theoretical solution for design analysis is given. For convenience of application, design charts are prepared for the determination of stresses and displacements for given values of initial stresses and the elastic parameters. Copyright © 1999 John Wiley & Sons, Ltd.