Frictional contact algorithms in SPH for the simulation of soil–structure interaction

International Journal for Numerical and Analytical Methods in Geomechanics - Tập 38 Số 7 - Trang 747-770 - 2014
Jian Wang1, Dave Chan2
1Department of Water Conservancy and Hydropower Engineering Hohai University Nanjing Jiangsu China
2Department of Civil and Environmental Engineering, University of Alberta, Edmonton, Alberta, Canada

Tóm tắt

SUMMARYSimulation of frictional contact between soils and rigid or deformable structure in the framework of smoothed particle hydrodynamics (SPH) is presented in this study. Two algorithms are implemented into the SPH code to describe contact behavior, where the contact forces are calculated using the law of conservation of momentum based on ideal plastic collision or using the criteria of partial penetrating. In both algorithms, the problem of boundary deficiency inherited from SPH is properly handled so that the particles located at contact boundary can have precise acceleration, which is critical for contact detection. And the movement and rotation of the rigid structure are taken into account so that it is easy to simulate the process of pile driving or movement of a retaining wall in geotechnical engineering analysis. Furthermore, the capability of modeling deformability of a structure during frictional contact simulations broadens the fields of SPH application. In contrast to previous work dealing with contact in SPH, which usually use particle‐to‐particle contact or ignoring sliding between particles and solid structure, the method proposed here is more efficient and accurate, and it is suitable to simulate interaction between soft materials and rigid or deformable structures, which are very common in geotechnical engineering. A number of numerical tests are carried out to verify the accuracy and stability of the proposed algorithms, and their results are compared with analytical solutions or results from finite element method analysis. Good agreement obtained from these comparisons suggests that the proposed algorithms are robust and can be applied to extend the capability of SPH in solving geotechnical problems. Copyright © 2013 John Wiley & Sons, Ltd.

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Tài liệu tham khảo

10.1086/112164

10.1093/mnras/181.3.375

10.1006/jcph.1994.1034

Takeda H, 1994, Numerical simulation of viscous flow by smoothed particle hydrodynamics, Progress of Theoretical Physics, 92, 939, 10.1143/ptp/92.5.939

10.1006/jcph.1997.5776

Clear PW, 1999, Conducting modeling using smoothed particle hydrodynamics, Journal of Computational Physics, 148, 227, 10.1006/jcph.1998.6118

Libersky LD, 1991, Proceedings of the Next Free Lagrange Conference, 248

10.1006/jcph.1993.1199

10.1016/0010-4655(94)00176-3

10.1016/S0045-7825(96)01090-0

10.1088/0034-4885/68/8/R01

Liu GR, 2004, Smoothed Particle Hydrodynamics: A Meshfree Particle Method

McDougall S, 2004, A model for the analysis of rapid landslide motion across three‐dimensional terrain, Canadian Geotechnical Journal, 41, 1084, 10.1139/t04-052

10.1002/nag.705

Bui HH, 2005, Sixth European Conference on Numerical Methods in Geotechnical Engineering, 257

BuiHH SakoK.SPH‐based numerical simulations for large deformation of geomaterial considering soil–structure interaction. In12th International Conference of International Association for Computer Methods and Advances in Geomechanics. Goa India 2008;570–578.

10.1016/j.jterra.2007.10.003

10.1002/nag.688

10.1002/nag.1084

10.1680/geot.9.P.046

10.1016/j.cpc.2009.05.008

10.1016/0021-9991(89)90032-6

10.1146/annurev.aa.30.090192.002551

10.1002/(SICI)1097-0207(20000228)47:6<1189::AID-NME830>3.0.CO;2-I

10.1002/nme.2010

10.1016/S0045-7825(99)00442-9

10.1007/s00466-003-0534-0

10.1016/j.cpc.2006.06.015

10.1006/jcph.1997.5681

Monaghan JJ, 1985, A refined particle method for astrophysical problems, Astronomic and Astrophysics, 149, 135

10.1016/S0021-9991(03)00324-3

10.1002/nme.4324

10.1146/annurev-fluid-120710-101220

10.1016/S0021-9991(95)90221-X

Chen WF, 1990, Nonlinear Analysis in Soil Mechanics: Theory and Implementation

10.1006/jcph.2000.6439

10.1016/S0045-7825(01)00254-7

Chen WF, 1975, Limit Analysis and Soil Plasticity

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International Journal for Numerical and Analytical Methods in Geomechanics

Tập 38 Số 7

747-770

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