Elastic and Particulate Mediaby James M. Hill, Sr. Lect.; Dept. of Mathematics, Univ. of Wollongong, New South Wales, Australia,
Milton E. Harr, (F.ASCE), Prof. of Geotechnical Engrg.; Purdue Univ., Lafayette, Ind.,
Serial Information: Journal of the Engineering Mechanics Division, 1982, Vol. 108, Issue 4, Pg. 596-604
Document Type: Journal Paper
Constitutive relations for soil are proposed which given rise to a diffusion-like equation for the normal stress component. This partial differential equation includes both particulate media theory and the classical linear theory of elasticity, in the sense that the solutions of concentrated load problems for half-spaces, coincide with those due to Flamant and Boussinesq for special values of the contained parameters. This means that all stress boundary value problems for infinite half-spaces in the classical linear theory of elasticity arise as special cases of the theory described here. On the other hand the particulate media theory arises from probabilistic considerations and the results given present for the first time a formal connection with classical elasticity theory.
Subject Headings: Elastic analysis | Linear functions | Half space | Soil stress | Concentrated loads | Differential equations | Diffusion (porous media) | Constitutive relations
Services: Buy this book/Buy this article
Return to search