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2D and 3D upper bound solutions for tunnel excavation using ‘elastic’ flow fields
Author(s) -
Klar Assaf,
Osman Ashraf S.,
Bolton Malcolm
Publication year - 2007
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.597
Subject(s) - upper and lower bounds , excavation , elasticity (physics) , compressibility , geotechnical engineering , flow (mathematics) , mathematics , engineering , mechanics , geology , geometry , mathematical analysis , physics , thermodynamics
This paper presents 2D and 3D upper bound solutions for the problem of tunnel excavation in soft ground. The solution invokes the use of incompressible flow fields derived from the theory of elasticity and the concept of sinks and sources. Comparison is made with previously published results. For some geometries the current calculation results in lower (better) upper bound values; however, the results were generally close to previously published values. Copyright © 2007 John Wiley & Sons, Ltd.