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Stress analysis of a deep rigid axially‐loaded cylindrical anchor in an elastic medium
Author(s) -
Luk V. K.,
Keer L. M.
Publication year - 1980
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.1610040303
Subject(s) - axial symmetry , deflection (physics) , hankel transform , radius , poisson's ratio , integral equation , shear (geology) , geometry , poisson distribution , structural engineering , mathematics , mathematical analysis , materials science , mechanics , geotechnical engineering , geology , physics , classical mechanics , engineering , bessel function , composite material , computer science , statistics , computer security
The elastostatic problem of an infinite elastic medium containing an axially‐loaded rigid cylindrical inclusion is investigated. This problem is of interest in connection with the geotechnical study of the time‐independent, load‐deflection characteristics of deep rigid anchors embedded in cohesive soil or rock media. The problem is formulated by means of Hankel integral transforms and reduced to a system of four coupled sing ular integral equations, where the unknown quantities are the normal and the shear stresses acting on the entire surface of the anchor. Numerical solutions are investigated for various Poisson's ratios and several values of the aspect ratio of radius to length of the cylindrical anchor.