The generalized Clapeyron equation and its application to confined ice growth
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, civ...
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2023
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crcambridgeupr:10.1017/jog.2023.28 2024-06-23T07:54:15+00:00 The generalized Clapeyron equation and its application to confined ice growth Style, Robert W. Gerber, Dominic Rempel, Alan W. Dufresne, Eric R. University of Oregon Eidgenössische Technische Hochschule Zürich National Science Foundation Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung 2023 http://dx.doi.org/10.1017/jog.2023.28 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S002214302300028X en eng Cambridge University Press (CUP) http://creativecommons.org/licenses/by/4.0/ Journal of Glaciology volume 69, issue 276, page 1091-1096 ISSN 0022-1430 1727-5652 journal-article 2023 crcambridgeupr https://doi.org/10.1017/jog.2023.28 2024-06-05T04:04:31Z 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. Article in Journal/Newspaper Journal of Glaciology Cambridge University Press Journal of Glaciology 69 276 1091 1096 |
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Open Polar |
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Cambridge University Press |
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English |
description |
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. |
author2 |
University of Oregon Eidgenössische Technische Hochschule Zürich National Science Foundation Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung |
format |
Article in Journal/Newspaper |
author |
Style, Robert W. Gerber, Dominic Rempel, Alan W. Dufresne, Eric R. |
spellingShingle |
Style, Robert W. Gerber, Dominic Rempel, Alan W. Dufresne, Eric R. The generalized Clapeyron equation and its application to confined ice growth |
author_facet |
Style, Robert W. Gerber, Dominic Rempel, Alan W. Dufresne, Eric R. |
author_sort |
Style, Robert W. |
title |
The generalized Clapeyron equation and its application to confined ice growth |
title_short |
The generalized Clapeyron equation and its application to confined ice growth |
title_full |
The generalized Clapeyron equation and its application to confined ice growth |
title_fullStr |
The generalized Clapeyron equation and its application to confined ice growth |
title_full_unstemmed |
The generalized Clapeyron equation and its application to confined ice growth |
title_sort |
generalized clapeyron equation and its application to confined ice growth |
publisher |
Cambridge University Press (CUP) |
publishDate |
2023 |
url |
http://dx.doi.org/10.1017/jog.2023.28 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S002214302300028X |
genre |
Journal of Glaciology |
genre_facet |
Journal of Glaciology |
op_source |
Journal of Glaciology volume 69, issue 276, page 1091-1096 ISSN 0022-1430 1727-5652 |
op_rights |
http://creativecommons.org/licenses/by/4.0/ |
op_doi |
https://doi.org/10.1017/jog.2023.28 |
container_title |
Journal of Glaciology |
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69 |
container_issue |
276 |
container_start_page |
1091 |
op_container_end_page |
1096 |
_version_ |
1802646340722753536 |