Formulation of Three-Dimensional Elastic Problem for Nonhomogeneous Medium and Its Analytical Development for Semi-Infinite Body

This paper treats the three-dimensional elastic problem for a nonhomogeneous medium whose shear modulus G increases with coordinate variable z according to relation G (z)=Go (1+z/a)m (Go, a and m are constants). The fundamental equations system for such nonhomogeneous medium is given by using three...

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Bibliographic Details
Published inTransactions of the Japan Society of Mechanical Engineers Series A Vol. 64; no. 623; pp. 1849 - 1856
Main Authors TANIGAWA, Yoshinobu, MORISHITA, Hiroyuki
Format Journal Article
LanguageJapanese
Published The Japan Society of Mechanical Engineers 1998
Subjects
Analytical Treatment
Elasticity
Nonhomogeneous Medium
Semi-Infinite Body
Three-Dimensional Problem
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ISSN0387-5008
1884-8338
DOI10.1299/kikaia.64.1849

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Summary:This paper treats the three-dimensional elastic problem for a nonhomogeneous medium whose shear modulus G increases with coordinate variable z according to relation G (z)=Go (1+z/a)m (Go, a and m are constants). The fundamental equations system for such nonhomogeneous medium is given by using three kinds of displacement functions. As an analytical model, a nonhomogeneous semi-infinite body subject to an arbitrary shaped distributed load on its boundary surface is considered. Numerical calculations are carried out for several cases taking into account the variation of nonhomogeneous elastic properties, and the numerical results are shown graphically.
ISSN:0387-5008
1884-8338
DOI:10.1299/kikaia.64.1849