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The eccentric loading of a rigid circular foundation embedded in an isotropic elastic medium
Author(s) -
Selvadurai A. P. S.
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.1610040203
Subject(s) - rotational symmetry , isotropy , foundation (evidence) , integral equation , rotation (mathematics) , hankel transform , displacement (psychology) , stress (linguistics) , mathematical analysis , mathematics , classical mechanics , mechanics , geometry , physics , bessel function , optics , psychology , linguistics , philosophy , archaeology , psychotherapist , history
This paper examines the problem of the eccentric loading of a rigid circular disc‐shaped foundation embedded in bonded contact with an istropic elastic medium of infinite extent. The solution of this problem is achieved by using a Hankel integral transform technique which reduces the problem to two sets of dual integral equations. These systems of dual integral equations represent the equations which govern the axisymmetric and asymmetric states of deformation induced by the loaded foundation. Explicit results are derived both for the displacement and rotation of the circular foundation and for the contact stress at the interface.