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Performance of the SPH Method for Deformation Analyses of Geomaterials

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Bifurcations, Instabilities and Degradations in Geomaterials

Part of the book series: Springer Series in Geomechanics and Geoengineering ((SSGG,volume 0))

Abstract

Various types of behaviors of different soils have been predicted by using the finite element method (FEM) with comprehensive constitutive models developed in geomechanics. There are, however, still some problems for the large deformation analyses within the framework of FEM. Numerical instabilities arise due to the distortion of the FE mesh. In this work, deformation analyses of geomaterials using Smoothing Particle Hydrodynamics (SPH) method are carried out. The SPH method belongs to the class of particle methods. In this paper, the analytical accuracy and the stability of SPH method are investigated for deformation analyses of geomaterials which are assumed to be solid or fluid.

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References

  1. Uzuoka, R.: Analytical study on the mechanical behavior and prediction of soil liquefaction and flow, Ph. D. Dissertation, Gifu University (2000) (in Japanese)

    Google Scholar 

  2. Hadush, S.: Fluid dynamics based large deformation analysis in geomechanics with emphasis in liquefaction induced lateral spread, Ph. D. Dissertation, Gifu University (2002)

    Google Scholar 

  3. Moriguchi, S.: CIP-based numerical analysis for large deformation of geomaterials, Ph. D. Dissertation, Gifu University (2005)

    Google Scholar 

  4. Lucy, L.B.: A numerical approach to the testing of the fission hypothesis. Astron. J. 82, 1023–1024 (1977)

    Article  Google Scholar 

  5. Gingold, R.A., Monaghan, J.J.: Smoothed particle hydrodynamics: theory and application to non-spherical stars. Monthly Notices of the Royal Astronomical Society 181, 375–389 (1977)

    MATH  Google Scholar 

  6. Liu, G.R., Liu, M.B.: Smoothed Particle Hydrodynamics: A Meshfree Particle Method, p. 449. World Scientific, Singapore (2003)

    Book  MATH  Google Scholar 

  7. Libersky, L.D., et al.: High Strain Lagrangian Hydrodynamics. J. Comput. Phys. 109, 67–75 (1993)

    Article  MATH  Google Scholar 

  8. Maeda, K., et al.: Development of seepage failure analysis method of ground with smoothed particle hydrodynamics. Journal of structural and earthquake engineering, JSCE 23(2), 307–319 (2006)

    Article  Google Scholar 

  9. Monaghan, J.J., Lattanzio, J.C.: A refined particle method for astrophysical problems. Astronomy and Astrophysics 149, 135–143 (1985)

    MATH  Google Scholar 

  10. Randles, P.W., Libersky, L.D.: Smoothed Particle Hydrodynamics: Some recent improvements and applications. Comput. Methods in Appl. Mech. Eng. 138, 375–408 (1996)

    Article  MathSciNet  Google Scholar 

  11. Monaghan, J.J., Gingold, R.A.: Shock Simulation by the Particle Method SPH. J. Comput. Phys. 52, 374–389 (1983)

    Article  MATH  Google Scholar 

  12. Schofield, A.N., Wroth, C.P.: Critical State Soil Mechanics, p. 310. Mcgraw-Hill, New York (1968)

    Google Scholar 

  13. Amsdam, A.A., Harlow, F.H.: The SMAC Method: A Numerical Technique for Calculating Incompressible Fluid Flow. LA-4370. Los Alamos Scientic Laboratory (1970)

    Google Scholar 

  14. Sakai, Y., et al.: Incompressible viscous flow analysis by SPH. Journal of the Japan Society of Mechanical Engineers. Series B 70(696), 1949–1956 (2004) (in Japanese)

    Google Scholar 

  15. Cleary, W., Monaghan, J.J.: Conduction modeling using smoothed particle hydrodynamics. J. Comput. Phys. 148, 227–264 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  16. Martin, J.C., Moyce, W.J.: An Experimental Study of the Collapse of Liquid Columns on a Rigid Horizontal Plane. Philosophical Transactions of the Royal Society of London, Ser. A 244, 312–324 (1952)

    Article  MathSciNet  Google Scholar 

  17. Koshizuka, S., et al.: Particle Method for Incompressible Viscous Flow with Fluid Fragmentation. Computational Fluid Dynamics Journal 4(1), 29–46 (1995)

    Google Scholar 

  18. Prandtl, L.: Über die Härte plastischer Körper: Nachrichten von der Königlichen Gesellschaft der Wissenschaften zu Göttingen. Math. Phys. KI. 12, 74–85 (1920)

    Google Scholar 

  19. Tamura, T., et al.: Limit analysis of soil structure by rigid plastic finite element method. Soils and Foundations 24(1), 34–42 (1984)

    Google Scholar 

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Nonoyama, H., Yashima, A., Sawada, K., Moriguchi, S. (2011). Performance of the SPH Method for Deformation Analyses of Geomaterials. In: Wan, R., Alsaleh, M., Labuz, J. (eds) Bifurcations, Instabilities and Degradations in Geomaterials. Springer Series in Geomechanics and Geoengineering, vol 0. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18284-6_15

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  • DOI: https://doi.org/10.1007/978-3-642-18284-6_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-18283-9

  • Online ISBN: 978-3-642-18284-6

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