Poromechanics of freezing materials
| Autor: | Olivier Coussy |
|---|---|
| Přispěvatelé: | Laboratoire Navier (navier umr 8205), École des Ponts ParisTech (ENPC)-Centre National de la Recherche Scientifique (CNRS)-Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR) |
| Rok vydání: | 2005 |
| Předmět: |
Materials science
Air voids Thermodynamic state Capillary action Poromechanics Pore radius distribution 0211 other engineering and technologies Thermodynamics 02 engineering and technology Unsaturated poroelasticity Physics::Geophysics law.invention [SPI]Engineering Sciences [physics] law 021105 building & construction Crystallization Porosity 021101 geological & geomatics engineering Ice crystals Mechanical Engineering Cryo-suction Condensed Matter Physics Freezing point Mechanics of Materials Solidification and melting Porous medium |
| Zdroj: | Journal of the Mechanics and Physics of Solids Journal of the Mechanics and Physics of Solids, Elsevier, 2005, 53 (8), pp.1689-1718. ⟨10.1016/j.jmps.2005.04.001⟩ |
| ISSN: | 0022-5096 |
| DOI: | 10.1016/j.jmps.2005.04.001 |
| Popis: | International audience; When subjected to a uniform cooling below the freezing point a water-infiltrated porous material undergoes a cryo-deformation resulting from various combined actions: (i) the difference of density between the liquid water and the ice crystal, which results in the initial build-up of an in-pore pressure at the onset of crystallization; (ii) the interfacial effects arising between the different constituents, which eventually govern the crystallization process in connection with the pore access radius distribution; (iii) the drainage of the liquid water expelled from the freezing sites towards the air voids; (iv) the cryo-suction process, which drives liquid water towards the already frozen pores as the temperature further decreases; (v) the thermomechanical coupling between the solid matrix, the liquid water and the ice crystal. We work out a comprehensive theory able to encompass this whole set of actions. A macroscopic approach first provides the constitutive equations of freezing poroelastic materials, including the interfacial energy effects. This approach reveals the existence of a thermodynamic state function—namely the liquid saturation degree as a function of the temperature only. The macroscopic ice-dependent poroelastic properties are then upscaled from the knowledge of the elastic properties of the solid matrix, of the pore access radius distribution, and of the capillary curve. The theory is finally illustrated by analysing quantitatively the effects of the cooling rate and of the pore radius distribution upon the cryo-deformation of water-infiltrated porous materials. The theory succeeds in accounting for the experimentally observed shrinkage of embedded air voids, while predicting the partial melting of the ice already formed when the cooling suddenly stops. |
| Databáze: | OpenAIRE |
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