The generalized Clapeyron equation and its application to confined ice growth
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Date
2023-08
Publication Type
Journal Article
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yes
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Abstract
Most theoretical descriptions of stresses induced by freezing are rooted in the (generalized) Clapeyron equation, which predicts the pressure that a solid can exert as it cools below its melting temperature. This equation is central for topics ranging beyond glaciology to geomorphology, civil engineering, food storage and cryopreservation. However, it has inherent limitations, requiring isotropic solid stresses and conditions near bulk equilibrium. Here, we examine when the Clapeyron equation is applicable by providing a rigorous derivation that details all assumptions. We demonstrate the natural extension for anisotropic stress states, and we show how the temperature and pressure ranges for validity depend on well-defined material properties. Finally, we demonstrate how the range of applicability of the (linear) Clapeyron equation can be extended by adding higher-order terms, yielding results that are in good agreement with experimental data for the pressure melting of ice.
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published
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Journal / series
Volume
69 (276)
Pages / Article No.
1091 - 1096
Publisher
Cambridge University Press
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Date collected
Date created
Subject
Anisotropic ice; Crystal growth; Frozen ground; Recrystallization; Ice physics
Organisational unit
09573 - Dufresne, Eric (ehemalig) / Dufresne, Eric (former)
Notes
Funding
ETH-38 18-2 - Freezing of soft materials (ETHZ)
212066 - Transport and damage in freezing porous materials (SNF)
212066 - Transport and damage in freezing porous materials (SNF)