Research Article
Apr 1965
Stochastic Model for Predicting Subsidence
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VIEW THE REPLYAuthors: Arnold L. Sweet and John L. BogdanoffAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 91, Issue 2
Abstract
A stochastic model for predicting the subsidence of a granular medium is presented. The mathematics prove amenable in the case of small subsidence, and explicit expressions for the average subsidence, and variance of the subsidence, are derived, as functions of the statistics of the particle size distribution and the angle of repose of the medium under consideration. Time is eliminated as a variable by examining the subsidence only after motion has ceased. The analogy of this problem to certain results in the theory of Brownian motion is explained in terms of this model.
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Published In
Journal of the Engineering Mechanics Division
Volume 91 • Issue 2 • April 1965
Pages: 21 - 45
Copyright
© 1965 American Society of Civil Engineers.
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Published in print: Apr 1965
Published online: Feb 3, 2021
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Arnold L. Sweet
Asst. Prof. of Aeronautics, Astronautics, and Engrg. Sciences, Purdue Univ., Lafayette Ind.
John L. Bogdanoff
Prof. of Aeronautics, Astronautics, and Engrg. Sciences, Purdue Univ., Lafayette, Ind.
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