Technical Papers
May 23, 2011

Numerical Simulations for Large Deformation of Granular Materials Using Smoothed Particle Hydrodynamics Method

Publication: International Journal of Geomechanics
Volume 12, Issue 2

Abstract

Application of the smoothed particle hydrodynamics (SPH) method to the simulation of granular materials under large deformation is presented. The Drucker–Prager constitutive model with nonassociated flow rule is implemented in the SPH formulations to model granular flow in a continuum framework. The model developed is validated by experiments on the collapse of two-dimensional granular columns as reported in the literature. Simulations of the collapse of three-dimensional axisymmetric sand columns with various aspect ratios are also conducted. Numerical results of the granular flow pattern, final runout distance, final deposit height, and nondeformed region are in good agreement with the experimental observations as reported in the literature. It is suggested that despite being a continuum-scale model, the SPH model developed can be used to effectively simulate large deformation and dense flow of granular materials, and geomaterials in general, if proper constitutive models are implemented. The model developed may thus find applications in various problems involving dense granular flow and large deformations, such as landslides and debris flow.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

Support of this study is partially provided by the U.S. National Science Foundation under Grant No. CMMI-0826097. This support is gratefully acknowledged.

References

Bui, H. H., Fukgawa, R., Sako, K., and, S Ohno. (2008). “Lagrangian mesh-free particle method (SPH) for large deformation and post-failure flows of geomaterial using elastic-plastic soil constitutive model.” Int. J. Numer. Anal. Meth. Geomech., 32(12), 1537–1570.
Chen, W. F., and Mizuno, E. (1990). Nonlinear analysis in soil mechanics: Theory and implementation, Elsevier, Amsterdam, Netherlands.
Khoei, A. R. and Lewis, R. W. (1999). “Adaptive finite element remeshing in a large deformation analysis of metal powder forming.” Int. J. Numer. Methods Eng.IJNMBH, 45(7), 801–820.
Libersky, L. D., Petschek, A. G., Carney, T. C., J. R. Hipp, and, F. A. Allahdadi (1993). “High strain Lagrangian hydrodynamics: A three dimensional SPH code for dynamic material response.” J. Comput. Phys., 109(1), 67–75.JCTPAH
Liu, G. R., and Liu, M. B. (2004). Smoothed particle hydrodynamics: A meshfree particle method, World Scientific, Singapore.
Lube, G., Huppert, H. E., Sparks, R. S. J., and Freundt, A. (2005). “Collapses of two-dimensional granular column.” Phys. Rev. E, 72(4), 1301–1310.PLEEE8
Lube, G., Huppert, H. E., Sparks, R. S. J., and Hallworth, M. A. (2004). “Axisymmetric collapses of granular columns.” J. Fluid Mech., 508, 175–199.JFLSA7
Lucy, L. (1977). “A numerical approach to testing the fission hypothesis.” Astron. J., 82(12), 1013–1024.ANJOAA
Gingold, R. A., and Monaghan, J. J. (1977). “Smoothed particle hydrodynamics: Theory and application to nonspherical stars.” Mon. Not. R. Astron. Soc., 181(2), 375–389.MNRAA4
Gray, J. P., Monaghan, J. J., and Swift, R. P. (2001). “SPH elastic dynamics.” Comput. Meth. Appl. Mech. Eng., 190(49/50), 6641–6662.CMMECC
Monaghan, J. J. (1992). “Smooth particle hydrodynamics.” Annu. Rev. Astron. Astrophys., 30, 543–574.ARAAAJ
Monaghan, J. J. (1994). “Simulating free surface flows with SPH.” J. Comput. Phys., 110(2), 399–406.JCTPAH
Monaghan, J. J., and Kocharyan, A. (1995). “SPH simulation of multi-phase flow.” Comput. Phys. Commun., 87(1–2), 225–235.CPHCBZ
Monaghan, J. J., Kos, A., and Issa, N. (2003). “Fluid motion generated by impact.” J. Waterw., Port, Coast., Ocean Eng., 129(6), 250–259.
Monaghan, J. J. and Lattanzio, J. C. (1985). “A refined particle method for astrophysical problems.” Astron. Astrophys., 149(1), 135–143.AAEJAF
Morris, J. P., Fox, P. J., and Zhu, Y. (1997). “Modeling low Reynolds number incompressible flows using SPH.” J. Comput. Phys., 136(1), 214–226.JCTPAH
Potapov, A. V., Hunt, M. L., and Campbell, C. S. (2001). “Liquid–solid flows using smoothed particle hydrodynamics and the discrete element method.” Powder Technol., 116(2–3), 204–213.POTEBX
Zhu, Y., Fox, P. J., and Morris, J. P. (1999). “A pore-scale numerical model for flow through porous media.” Int. J. Numer. Anal. Meth. Geomech., 23(9), 881–904.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 12Issue 2April 2012
Pages: 127 - 135

History

Received: Oct 27, 2010
Accepted: May 19, 2011
Published online: May 23, 2011
Published in print: Apr 1, 2012

Permissions

Request permissions for this article.

Authors

Affiliations

Graduate Student, Dept. of Civil & Environmental Engineering, Pennsylvania State Univ., Univ. Park, PA 16802. E-mail: [email protected]
Tong Qiu, M. ASCE [email protected]
Assistant Professor, Dept. of Civil & Environmental Engineering, Pennsylvania State Univ., Univ. Park, PA 16802 (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share