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IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials pp 61–66Cite as

Numerical Solution of Soil Freezing Problem by a New Finite Element Scheme

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 87))

Abstract

A finite element scheme is presented for the numerical solution of soil freezing problem. It is based on the space-time finite element concept and on the appropriate choice of weighting functions.

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References

  1. Frémond, M. and Mikkola, M. Thermomechanical modelling of freezing soil. In Ground Freezing 91, Proceedings of the Sixth International Symposium on Ground Freezing, A. A. Balkema, Rotterdam, Netherlands, 17–24, 1991.

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  2. Freund, J. and Salonen, E.-M. Notes on Petrov-Galerkin Weighting Functions in Connection with the Scalar Convection-Diffusion equation. Report 28, Institute of Mechanics, Helsinki University of Technology, Finland, 1990.

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  3. Hughes, T. J. R. and Hulbert, G. M. Space-Time Finite Element Methods for Elastodynamics: Formulations and Error Estimates. Comput. Meths. Appl. Mech. Engrg., 66, 339–363, 1988.

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  4. Mikkola, M. and Hartikainen, J. Mathematical Model of Soil Freezing and Its Numerical Implementation. In Proceedings of the European Conference on Computational Mechanics, ECCM’ 99, München, Germany, August 31–September 3, 1999.

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  5. Williams, P. Properties and behaviour of freezing soils. Norwegian Geotech. Inst., Publ. 72, 1967.

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Author information

Authors and Affiliations

  1. Laboratory of Theoretical and Applied Mechanics, Helsinki University of Technology, P.O.Box 1100, FIN-02015, Hut, Finland

    J. Hartikainen & M. J. Mikkola

Authors
  1. J. Hartikainen
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  2. M. J. Mikkola
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Editor information

Editors and Affiliations

  1. Institute of Applied Mechanics, University of Stuttgart, Germany

    Wolfgang Ehlers

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© 2001 Kluwer Academic Publishers

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Cite this paper

Hartikainen, J., Mikkola, M.J. (2001). Numerical Solution of Soil Freezing Problem by a New Finite Element Scheme. In: Ehlers, W. (eds) IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials. Solid Mechanics and Its Applications, vol 87. Springer, Dordrecht. https://doi.org/10.1007/0-306-46953-7_8

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  • DOI: https://doi.org/10.1007/0-306-46953-7_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6766-6

  • Online ISBN: 978-0-306-46953-4

  • eBook Packages: Springer Book Archive

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