One-dimensional consolidation with a threshold gradient: a Stefan problem with rate-dependent latent heat

SUMMARY During the process of one‐dimensional consolidation with a threshold gradient, the seepage front moves downward gradually, and the problem is indicated as a Stefan problem. The novel feature in this Stefan problem is a latent heat that varies inversely with the rate of the moving boundary. A...

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Bibliographic Details
Published in:International journal for numerical and analytical methods in geomechanics 2013-11, Vol.37 (16), p.2825-2832
Main Authors: Zhou, Yang, Bu, Wan-kui, Lu, Meng-meng
Format: Article
Language:English
Subjects:
Applied sciences
Buildings. Public works
Computation methods. Tables. Charts
Exact sciences and technology
exact solution
Geotechnics
one-dimensional consolidation
Stabilization. Consolidation
Stefan problem
Structural analysis. Stresses
threshold gradient
variable latent heat
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Summary:SUMMARY During the process of one‐dimensional consolidation with a threshold gradient, the seepage front moves downward gradually, and the problem is indicated as a Stefan problem. The novel feature in this Stefan problem is a latent heat that varies inversely with the rate of the moving boundary. An exact solution for the external load that increases in proportion to the square root of time is constructed using the similarity transformation technique. Computational examples concerning the effect of different parameters on the motion of the seepage front are presented. The exact solution provides a worthwhile benchmark for verifying the accuracy of numerical and approximate methods. Copyright © 2013 John Wiley & Sons, Ltd.
ISSN:0363-9061
1096-9853
DOI:10.1002/nag.2219