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Title: Frost heave in colloidal soils
Authors: Peppin, Stephen
Majumdar, Apala
Style, Robert
Sander, Graham C.
Keywords: Frost heave
Lie-Backlund transformation
Issue Date: 2011
Publisher: © Society for Industrial and Applied Mathematics
Citation: PEPPIN, S. ... et al., 2011. Frost heave in colloidal soils. SIAM Journal on Applied Mathematics, 71 (5), pp. 1717 - 1732.
Abstract: We develop a mathematical model of frost heave in colloidal soils. The theory accounts for heave and consolidation while not requiring a frozen fringe assumption. Two solidification regimes occur: a compaction regime in which the soil consolidates to accommodate the ice lenses, and a heave regime during which liquid is sucked into the consolidated soil from an external reservoir, and the added volume causes the soil to heave. The ice fraction is found to vary inversely with the freezing velocity V, while the rate of heave is independent of V, consistent with field and laboratory observations.
Description: This article was published in the SIAM Journal on Applied Mathematics [© Society for Industrial and Applied Mathematics] and the definitive version is available at: http://dx.doi.org/10.1137/100788197
Version: Published
DOI: 10.1137/100788197
URI: https://dspace.lboro.ac.uk/2134/11066
Publisher Link: http://dx.doi.org/10.1137/100788197
ISSN: 0036-1399
Appears in Collections:Published Articles (Architecture, Building and Civil Engineering)

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