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Expansion of cavities in layered elastic system
Author(s) -
Sayed S. M.,
Hamed M. A.
Publication year - 1987
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.1610110209
Subject(s) - axial symmetry , geomechanics , settlement (finance) , mechanics , deformation (meteorology) , matrix (chemical analysis) , stress (linguistics) , field (mathematics) , stress field , materials science , geology , geotechnical engineering , structural engineering , physics , finite element method , engineering , mathematics , composite material , computer science , linguistics , philosophy , world wide web , pure mathematics , payment
Theoretical formulations to the problem of expansion of spherical and cylindrical cavities in a layered elastic system are presented. The medium surrounding the cavity is assumed to consist of several layers, and each is idealized as a linear elastic solid. The solutions are expressed in matrix forms and can be obtained using a programmable calculator. The developed solutions are of some importance in geomechanics. The spherical cavity solution can be used to compute the settlement of single axially loaded piles. The predicted settlement using the analysis outlined herein agrees reasonably well with one case of field measurements. The cylindrical cavity solution can be used to manifest the effect of disturbed mass at the cavity wall on the stress–strain and deformation characteristics of the intact mass.