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The behaviour of an elastic non‐homogeneous half‐space. Part I‐line and point loads
Author(s) -
Booker J. R.,
Balaam N. P.,
Davis E. H.
Publication year - 1985
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.1610090405
Subject(s) - homogeneity (statistics) , limiting , homogeneous , mathematics , mathematical analysis , modulus , half space , geometry , geotechnical engineering , geology , engineering , statistics , combinatorics , mechanical engineering
In the first part of this paper solutions are developed for the response of a non‐homogeneous half‐space subjected to either a surface point load or a surface line load. The non‐homogeneity considered is a variation in Young's modulus ( E ) with depth ( z ) which takes the form E = m E Z α where m E is a constant and α is referred to as the non‐homogeneity parameter. The variation of these solutions as the non‐homogeneity parameter α varies between the limits of zero (homogeneous soil) to unity (Gibson soil) gives some fresh insight into both these limiting cases.