Research Article
Jan 1968
Stresses and Displacements in Nonlinear Soil Media
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VIEW THE REPLYPublication: Journal of the Soil Mechanics and Foundations Division
Volume 94, Issue 1
Abstract
A method is presented for determining the vertical stresses and displacements in semi-infinite nonlinear soil media under circular loaded areas. The soil is assumed to be incompressible with an elastic modulus varying with the state of the stresses. The medium is arbitrarily divided into seven layers in which the stresses and displacements are determined by a high speed computer using Burmister's layered theory and the principle of successive approximations. The results of this study reveal that the nonlinear behavior of soils has a relatively small effect on stresses but a large effect on displacements. This may explain why Boussinesq's solution of stresses based on linear theory has been applied to soils with great success even though soils themselves are basically nonlinear. Because the differences in stresses between linear and nonlinear theory are not too significant, the displacement in a nonlinear medium can be estimated by a simplified method based on Boussinesq's stress distribution. It is found that this simplified method checks closely with the method presented, especially at large radial distances.
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Published In
Journal of the Soil Mechanics and Foundations Division
Volume 94 • Issue 1 • January 1968
Pages: 1 - 19
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Jan 1968
Published online: Feb 12, 2021
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Authors
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Y. H. Huang, M.ASCE
Asst. Prof. of Civ. Engrg., Univ. of Kentucky, Lexington, Ky.; formerly, Highway
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
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