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Vertical and horizontal deformation of an inhomogeneous elastic half‐space
Author(s) -
Oner Mete
Publication year - 1990
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.1610140903
Subject(s) - geometry , deformation (meteorology) , half space , point (geometry) , horizontal and vertical , mathematics , space (punctuation) , constant (computer programming) , shear modulus , poisson's ratio , poisson distribution , surface (topology) , mathematical analysis , geotechnical engineering , mechanics , physics , geology , linguistics , philosophy , statistics , meteorology , computer science , thermodynamics , programming language
Abstract Vertical and horizontal deformations of surface footings have been studied for an inhomogeneous elastic half‐space in which the shear modulus increases with an arbitrary power of depth, n , and Poisson's ratio is constant. A general solution for displacements has been obtained first for point loads applied in vertical and horizontal directions. These are then used in obtaining closed‐form solutions for displacements of uniformly loaded circular and rectangular footings. Finally, a numerical method is described that can be used to analyse a rigid footing of an arbitrary shape, and results for rigid rectangular footings are given.