The generalized Clapeyron equation and its application to confined ice growth
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 engine...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2023-08-01
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| Series: | Journal of Glaciology |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S002214302300028X/type/journal_article |
| _version_ | 1797770517330001920 |
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| author | Robert W. Style Dominic Gerber Alan W. Rempel Eric R. Dufresne |
| author_facet | Robert W. Style Dominic Gerber Alan W. Rempel Eric R. Dufresne |
| author_sort | Robert W. Style |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T21:23:26Z |
| format | Article |
| id | doaj.art-2cee0ce36935480086e199cceee69073 |
| institution | Directory Open Access Journal |
| issn | 0022-1430 1727-5652 |
| language | English |
| last_indexed | 2024-03-12T21:23:26Z |
| publishDate | 2023-08-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Journal of Glaciology |
| spelling | doaj.art-2cee0ce36935480086e199cceee690732023-07-28T10:47:45ZengCambridge University PressJournal of Glaciology0022-14301727-56522023-08-01691091109610.1017/jog.2023.28The generalized Clapeyron equation and its application to confined ice growthRobert W. Style0https://orcid.org/0000-0001-5305-7658Dominic Gerber1https://orcid.org/0000-0002-4231-0694Alan W. Rempel2Eric R. Dufresne3Department of Materials, ETH Zürich, 8093 Zürich, SwitzerlandDepartment of Materials, ETH Zürich, 8093 Zürich, SwitzerlandDepartment of Earth Sciences, University of Oregon, Eugene, Oregon, USADepartment of Materials, ETH Zürich, 8093 Zürich, SwitzerlandMost 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.https://www.cambridge.org/core/product/identifier/S002214302300028X/type/journal_articleAnisotropic icecrystal growthfrozen groundrecrystallizationice physics |
| spellingShingle | Robert W. Style Dominic Gerber Alan W. Rempel Eric R. Dufresne The generalized Clapeyron equation and its application to confined ice growth Journal of Glaciology Anisotropic ice crystal growth frozen ground recrystallization ice physics |
| title | 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_short | The generalized Clapeyron equation and its application to confined ice growth |
| title_sort | generalized clapeyron equation and its application to confined ice growth |
| topic | Anisotropic ice crystal growth frozen ground recrystallization ice physics |
| url | https://www.cambridge.org/core/product/identifier/S002214302300028X/type/journal_article |
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