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Volume 69 - October 2023

Contents

Page 7 of 7

Letter

  • The generalized Clapeyron equation and its application to confined ice growth

  • Robert W. Style, Dominic Gerber, Alan W. Rempel, Eric R. Dufresne
  • Published online by Cambridge University Press:
    17 May 2023, pp. 1091-1096
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  • 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.

Front Cover (OFC, IFC) and matter

  • JOG volume 69 issue 276 Cover and Front matter

  • Published online by Cambridge University Press:
    28 July 2023, pp. f1-f2
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Back Cover (IBC, OBC) and matter

  • JOG volume 69 issue 276 Cover and Back matter

  • Published online by Cambridge University Press:
    28 July 2023, pp. b1-b2
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Page 7 of 7