An improved SPH method for saturated soils and its application to investigate the mechanisms of embankment failure: Case of hydrostatic pore‐water pressure

作者: Ha H. Bui , Ryoichi Fukagawa

DOI: 10.1002/NAG.1084

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摘要: SUMMARY The method of smoothed particle hydrodynamics (SPH) has recently been applied to computational geomechanics and shown be a powerful alternative the standard numerical method, that is, finite element for handling large deformation post-failure geomaterials. However, very few studies apply SPH model saturated or submerged soil problems. Our recent this matter revealed significant errors may made if gradient pore-water pressure is handled using formulation. To overcome problem enhance applications geomechanics, article proposes general formulation, which can straightforwardly dry soils. For simplicity, current work assumes hydrostatic pressure. It proposed formulation remove error mentioned earlier. Moreover, automatically satisfies dynamic boundary conditions at ground surface, thereby saving cost. Discussions on new formulations are also given through some tests. Furthermore, techniques obtain correct solution discussed throughout. As an application effect dilatancy angle failure mechanism two-sided embankment subjected high groundwater table presented compared with other solutions. Finally, considered basic further developments Copyright © 2011 John Wiley & Sons, Ltd.

参考文章(13)
Larry D. Libersky, Albert G. Petschek, Theodore C. Carney, Jim R. Hipp, Firooz A. Allahdadi, High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response Journal of Computational Physics. ,vol. 109, pp. 67- 75 ,(1993) , 10.1006/JCPH.1993.1199
M. Pastor, B. Haddad, G. Sorbino, S. Cuomo, V. Drempetic, A depth-integrated, coupled SPH model for flow-like landslides and related phenomena International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 33, pp. 143- 172 ,(2009) , 10.1002/NAG.705
J.J. Monaghan, Simulating Free Surface Flows with SPH Journal of Computational Physics. ,vol. 110, pp. 399- 406 ,(1994) , 10.1006/JCPH.1994.1034
Joseph P. Morris, Patrick J. Fox, Yi Zhu, Modeling Low Reynolds Number Incompressible Flows Using SPH Journal of Computational Physics. ,vol. 136, pp. 214- 226 ,(1997) , 10.1006/JCPH.1997.5776
J.P. Gray, J.J. Monaghan, R.P. Swift, SPH elastic dynamics Computer Methods in Applied Mechanics and Engineering. ,vol. 190, pp. 6641- 6662 ,(2001) , 10.1016/S0045-7825(01)00254-7
Ha H. Bui, K. Sako, R. Fukagawa, Numerical simulation of soil-water interaction using smoothed particle hydrodynamics (SPH) method Journal of Terramechanics. ,vol. 44, pp. 339- 346 ,(2007) , 10.1016/J.JTERRA.2007.10.003
P. A. Cundall, O. D. L. Strack, A discrete numerical model for granular assemblies Géotechnique. ,vol. 29, pp. 47- 65 ,(1979) , 10.1680/GEOT.1979.29.1.47
Ha H. Bui, Ryoichi Fukagawa, Kazunari Sako, Shintaro Ohno, Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic–plastic soil constitutive model International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 32, pp. 1537- 1570 ,(2008) , 10.1002/NAG.688
L. B. Lucy, A numerical approach to the testing of the fission hypothesis The Astronomical Journal. ,vol. 82, pp. 1013- 1024 ,(1977) , 10.1086/112164
K. H. Roscoe, THE INFLUENCE OF STRAINS IN SOIL MECHANICS Geotechnique. ,vol. 20, pp. 129- 170 ,(1970) , 10.1680/GEOT.1970.20.2.129