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Finite Deformation Models and Field Performance

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Abstract

This paper reports about the derivation of a fully nonlinear model characterized by finite deformations without smallness assumptions. The soil is assumed to be saturated, and no restrictions are introduced on the constitutive laws. Initial boundary value problems are formulated with reference to geotechnical problems, such as consolidation under own weight or sedimentation of solid particles in a quiescent fluid, and back-analyses of field performance of an embankment resting on a soft clay deposit.

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References

  1. Lancellotta, R. and Preziosi, L.: Int. J. Engng. Sci. 35(10-11) (1997), 1045-1063.

    Google Scholar 

  2. Davis, E. H. and Raymond, G. P.: A non-linear theory of consolidation, Geotechnique 15 (1965), 161-173.

    Google Scholar 

  3. Janbu, N.: Consolidation of clay layers based on non-linear stress strain, Proc. VI ICSMFE, Montreal, 1965, pp. 83-87.

  4. Mikasa, M.: The Consolidation of Soft Clay, Civil Engineering in Japan, Japanese Society of Civil Engineering, 1965, pp. 21-26.

  5. Cornetti, P. and Battaglio, M.: Nonlinear consolidation of soil: modelling and solution techniques, Math. Comput. Modelling 20 (1994), 1-12.

    Google Scholar 

  6. de Boer, R.: Highlights in the historical development of the porous media theory: toward a consistent macroscopic theory, Appl. Mech. Rev. 49 (1996), 201-262.

    Google Scholar 

  7. Lancellotta, R.: Geotechnical Engineering, Balkema, 1995.

  8. Lee, I. K., White, W. and Ingles, O. G.: Geotechnical Engineering, Pitman, 1983.

  9. Bowen, R. M.: Incompressible porous media models by the use of the theory of mixtures, Int. J. Engng. Sci. 18 (1980), 1129-1148.

    Google Scholar 

  10. Preziosi, L.: The theory of deformable porous media and its application to composite material manufacturing, Surveys Math. Indust. 6 (1996), 167-214.

    Google Scholar 

  11. Munaf, D., Wineman, A. S., Rajagopal, K. R. and Lee, D. W.: A boundary value problem in groundwater motion analysis-Comparison of predictions based on Darcy's law and the continuum theory of mixtures, Math. Models Methods Appl. Sci. 3 (1993), 231-248.

    Google Scholar 

  12. Bellomo, N. and Preziosi, L.: Mathematical Modelling, Analysis and Scientific Computation, CRC Press, Boca Raton, 1995.

    Google Scholar 

  13. Billotta, E. and Viggiani, C.: Una indagine sperimentale in vera grandezza sul comportamento di un banco di argilla normalmente consolidata, XII Conv. Naz. Geotecnica, Cosenza, 1975, pp. 232-240.

  14. Skempton, A. W.: The consolidation of clays by gravitational compaction, Q. J. Geol. Soc. London 125 (1970), 373-412.

    Google Scholar 

  15. Burland, J. B.: On the compressibility and shear strength of natural clays, Geotechnique 40 (1990), 329-378.

    Google Scholar 

  16. Hegg, U., Jamiolkowski, M. B., Lancellotta, R. and Parvis, E.: Performance of large oil tanks on soft ground, Proc. Piling and Ground Treatment for Foundations, T. Telford, London, 1983, pp. 87-94.

    Google Scholar 

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Arnod, S., Battaglio, M., Bellomo, N. et al. Finite Deformation Models and Field Performance. Transport in Porous Media 34, 17–27 (1999). https://doi.org/10.1023/A:1006596921390

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