Zusammenfassung
In many branches of engineering, e.g. material science, soil constructions, and geotechnics, freezing and thawing processes of fluid filled porous media play an important role. The coupled fluid-ice-solid behavior is strongly influenced by phase transition, heat and mass transport as well as interactions of fluid-solid/ice pressure depending on the entropy of fusion, and is accompanied by a volume expansion. In this contribution, a macroscopic model based on the Theory of Porous Media (TPM) is presented toward the description of freezing and thawing processes/ freeze-thaw cycles in fluid filled porous media. Therefore, a quadruple model consisting of the constituents solid, ice, liquid and gas is used. Attention is paid to the description of capillary effects, especially, the frost suction, the distribution of fluid and ice pressure as well as solid deformation before, during and after the ice formation in consideration of energetic effects under cycling thermal loading. Numerical examples are presented to demonstrate the usefulness of the model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Literaturverzeichnis
Alsabry K, Wilmanski A (2011) Iterative description of freezing and thawing processes in porous materials. J. Appl. Math. Mech. (ZAMM) 91(9):753–760
Aquirre-Punte J, Philippe A (1969) Quelques recherches effectu´ees en france sur le probl`emede la cong´elation des sols. Revue Generale de Thermique 96:1123–1141
Ateshian G, Ricken T (2010) Multigenerational interstitial growth of biological tissues, Biomech. Model. Mechanobiol. 9(6):689–702, DOI 10.1007/s10237–010–0205–y
Atkins P (1998) Physical chemistry. Oxford University Press
Biot M (1941) General theory of three-dimensional consolidation. J. Appl. Phys. 12:155–164
Bluhm J, Bloßfeld M, Ricken T (2013) Energetic effects during phase transition under freezing-thawing load in porous media – a continuums multiphase description and fesimulation. Zeitschr. Angew. Math. Mech. (ZAMM) submitted for publication
Bluhm J, Ricken T, BloßfeldM (2008) Energetische Aspekte zum Gefrierverhalten vonWasser in porösen Strukturen. Proc. Appl. Math. Mech. (PAMM) 8:10483–10484
Bluhm J, Ricken T, Bloßfeld M (2009) Freezing and thawing load in porous media – experiment and simulation. Proc. Appl. Math. Mech. (PAMM) 9:387–388
Bowen R (1980) Incompressible porous media models by use of the theory of mixtures. Int. J. Eng. Sci. 18:1129–1148
Bowen R (1982) Compressible porous media models by use of the theory of mixtures. Int. J. Eng. Sci. 20:697–735
Brooks R, Corey A (1964) Hydraulic propertiesof porous media. In: Tech. Rep. 3, Colorado State University, Fort Collins
Coussy O (2004) Poromechanics. John Wiley & Sons
Coussy O (2005) Poromechanics of freezing materials. J. Mech. Phys. Solids 53(8):1689–1718
Coussy O, Monteiro P (2008) Poroelastic model for concrete exposed to freezing temperatures. Cem. Concr. Res. 38(1):40–48
de Boer R (2000) Theory of Porous Media – highlights in the historical development and current state. Springer
Ehlers W (1989) On the thermodynamics of elasto-plastic porous media. Arch. Mech. 41:73–93
Ehlers W (1993) Constitutive equations for granular materials in geomechanical contexts. In: Continuum mechanics in environmental sciences and geophysics, edited by K. Hutter No. 337 in CISM Courses and Lecture Notes (Springer):313–402
Ehlers W (2002) Foundations of multiphasic and porous materials. In: Porous Media: Theory, Experiments and Numerical Applications, edited by W. Ehlers and J. Bluhm (Springer):3–86
Ehlers W, Bluhm J (eds.) (2002) Porous media: Theory, experiments and numerical applications. Springer
Fayer M (2000) UNSAT-H Version 3.0: Unsaturated soil water and heat flow model. Theory, user manual, and examples, Pacific Northwest National Laboratory, Richland, WA
Flerchinger G, Saxton K (1989) Simultaneous heat and water model of a freezing snowresidue-soil system – I. Theory and development. Trans. ASAE 32(2):565–571
Graf T (2008) Multiphsic flow processes in deformable porous media under consideration of fluid phase transition. PhD thesis, Report No.: II-17, Institut für Mechanik (Bauwesen), Lehrstuhl II, Prof. Dr.-Ing. W. Ehlers, Universität Stuttgart
Guymon G, Hromadka II T, Berg R (1980) A one dimensional frost heave model based uponsimulation of simultaneous heat and water flux. Cold Reg. Sci. Technol. 3:253–262
Hansson K, Simunek J, Mizoguchi M, Lundin L C, van Genuchten M T (2004) Water flow and heat transport in frozen soil: numerical solution and freeze-thaw applications. Vadose Zone 3:693–704
Helmig R (1997) Multiphase flow and transport processes in the subsurface: a contribution to the modeling of hydrosystems. Springer
Humphrey J, Rajagopal K (2002) A constrained mixture model for growth and remodelling of soft tissues. Math. Models Methods Appl. Sci. 12:407–430
Ippisch O (2003) Coupled Transport in Natural Porous Media. PhD thesis, University of Heidelberg
Li N, Chen F, Xu B, Swoboda B (2008) Theoretical modeling framework for an unsaturated freezing soil, Cold Reg. Sci. Technol. 54(1):19–35
Meschke G, Leonhart D, Timothy J, Zhou M (2011) Computational mechanics of multiphase materials – modeling strategies at different scales. Comput. Assisted Mech. Eng. Sci. (CAMES) 18:73–89
Mikkola M, Hartikainen J (2001) Mathematical model of soil freezing and its numerical implementation. Int. J. Numer. Meth. Engng 52:543–557
Miller R (1980) Freezing phenomena in soils. In: Applications of Soil Physics, edited by D. Hillel. Academic Press:254–299.
Nassar I, Horton R (1992) Simultaneous transfer of heat, water, and solute in porous media: I. Theoretical development. Soil Sci. Soc. Am. J. 56:1350–1356
O’Neill K, RD M (1985) Exploration of a rigid ice model of frost heave.Water Resour. Res. 21(3):281–296
Richards L (1931) Capillary conduction of liquids through porous mediums, Physics 1:318–333
Ricken T, Bluhm J (2010) Modeling fluid saturated porousmedia under frost attack. GAMMMitteilungen 33(1):40–56 , DOI 10.1002/gamm.201010004.
Ricken T, de Boer R (2003) Multiphase flow in a capillary porous medium. Comput. Mater. Sci. 28:704–713
Rodriguez E, Hoger A, McCulloch A (1994) Stress-dependent finite growth in soft elastic tissues. J. Biomech. 27(4):455–467
Selvadurai A, Hu J, Konuk I (1999) Computational modelling of frost heave induced soilpipeline interaction: I. Modelling of frost heave. Cold Reg. Sci. Technol. 29(3):215–228
Setzer M (2004) Modelling and testing the freeze-thaw attack by micro-ice-lens modeland CDF/CIF-Test. In: Proceedings of the International Workshop on Microstructure and Durability to Predict Service Life of Concrete Structures, Hokkaido University, Sapporo, Japan:17–28.
Setzer M, P H, Palecki S, Auberg R, Feldrappe V, Siebel E (2004) CIF-Test – capillary suction, internal damage and freeze-thaw test, Reference method and alternative methods. Mater. Struct. 37(247):743–753
Zhou M, Meschke G (2011) Numerical modelling of coupling mechanisms during freezing in porous materials. Proc. Appl. Math. Mech. (PAMM) 11:495–496, DOI10.1002/pamm.201110239
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ricken, T., Bluhm, J. (2014). Modeling of liquid and gas saturated porous solids under freezing and thawing cycles. In: Schanz, T., Hettler, A. (eds) Aktuelle Forschung in der Bodenmechanik 2013. Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37542-2_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-37542-2_2
Published:
Publisher Name: Springer Vieweg, Berlin, Heidelberg
Print ISBN: 978-3-642-37541-5
Online ISBN: 978-3-642-37542-2
eBook Packages: Life Science and Basic Disciplines (German Language)