Coupling of soil deformation and pore fluid flow using material point method

Computers and Geotechnics - Tập 63 - Trang 199-214 - 2015
Samila Bandara1, Kenichi Soga1
1Cambridge University, Department of Engineering, Trumpington Street, Cambridge CB2 1PZ, UK

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Tài liệu tham khảo

Hungr, 1995, A model for the runout analysis of rapid flow slides, debris flows, and avalanches, Can Geotech J, 32, 610, 10.1139/t95-063

Gingold, 1977, Smoothed particle hydrodynamics: theory and application to non-spherical stars, Mon Not R Astron Soc, 181, 399, 10.1093/mnras/181.3.375

Monaghan, 1994, Simulating free surface flows with SPH, J Comput Phys, 110, 399, 10.1006/jcph.1994.1034

Sulsky, 1995, Application of a particle-in-cell method to solid mechanics, Comput Phys Commun, 87, 236, 10.1016/0010-4655(94)00170-7

Onate, 1996, A stabilized finite point method for analysis of fluid mechanics problems, Comput Methods Appl Mech Eng, 139, 315, 10.1016/S0045-7825(96)01088-2

Belytschko, 1994, Element free Galerkin method, Int J Numer Methods, 37, 229, 10.1002/nme.1620370205

Brackbill, 1988, particle-in-cell method for fluid flow, Comput Phys Commun, 48, 25, 10.1016/0010-4655(88)90020-3

Liu, 2003

Monaghan, 1983, Shock simulation by the particle method sph, J Comput Phys, 52, 374, 10.1016/0021-9991(83)90036-0

Monaghan, 1983, On the problem of penetration in particle methods, J Comput Phys, 82, 1, 10.1016/0021-9991(89)90032-6

Sulsky, 2007, Using the material-point method to model sea ice dynamics, J Geophys Res, 112, C02S90, 10.1029/2005JC003329

Bardenhagen, 2004, The generalized interpolation material point method, Comput Model Eng Sci, 5, 477

Andersen SM. Material-point analysis of large-strain problems: modelling of landslides, Ph.D. thesis. Aalborg University; 2009.

Beuth, 2007, Large deformation analysis using a quasi-static material point method, J Theor Appl Mech, 38, 45

Coetzee, 2005, The modelling of anchors using the material point method, Int J Numer Anal Meth Geomech, 29, 879, 10.1002/nag.439

Alonso, 2011, Progressive failure of Aznalcóllar dam using the material point method, Geotechnique, 61, 795, 10.1680/geot.9.P.134

Jassim, 2013, Two-phase dynamic analysis by material point method, Int J Numer Anal Meth Geomech, 37, 2502, 10.1002/nag.2146

Abe, 2014, Material point method for coupled hydromechanical problems, J Geotech Geoenviron Eng, 140, 04013033, 10.1061/(ASCE)GT.1943-5606.0001011

Zhang, 2009, Material point method for dynamic analysis of saturated porous media under external contact/impact of solid bodies, Comput Methods Appl Mech Eng, 198, 1456, 10.1016/j.cma.2008.12.006

Shin W. Numerical simulation of landslides and debris flows using an enhanced material point method, Ph.D. thesis. University of Washington; 2009.

Mackenzie-Helnwein, 2010, Modeling strategies for multiphase drag interactions using the material point method, Int J Numer Meth Eng, 83, 295, 10.1002/nme.2823

Hughes, 1987

Preisig, 2010, Stabilization procedures in coupled poromechanics problems: a critical assessment, Int J Numer Anal Methods Geomech, 35, 1207, 10.1002/nag.951

Li, 2004, Dynamics of porous media at finite strain, Comput Methods Appl Mech Eng, 193, 3837, 10.1016/j.cma.2004.02.014

Zienkiewicz, 1999

Ehlers, 2004, Deformation and localisation analysis of partially saturated soil, Comput Methods Appl Mech Eng, 193, 2885, 10.1016/j.cma.2003.09.026

Lewis, 1998

Drumheller, 2000, On theories for reacting immiscible mixtures, Int J Eng Sci, 38, 347, 10.1016/S0020-7225(99)00047-6

Carrier, 2003, Goodbye, Hazen; Hello, Kozeny–Carman, J Geotech Geoenviron Eng, 129, 1054, 10.1061/(ASCE)1090-0241(2003)129:11(1054)

Bolton, 1986, The strength and dilatancy of sands, Geotechnique, 36, 65, 10.1680/geot.1986.36.1.65

Jassim I, Coetzee CJ, Vermeer PA. A dynamic material point method for geomechanics. In: Installation effects in geotechnical engineering; 2013. p. 15–23.

Bandara SS. Material point method to simulate large deformation problems in fluid-saturated granular medium, Ph.D. thesis. University of Cambridge; 2013.

Chen Z, Brannon R. An evaluation of the material point method, Tech. rep. Albuquerque, New Mexico: Sandia National Laboratories; 2002.

Courant, 1967, On the partial difference equations of mathematical physics, IBM J Res Dev, 11, 215, 10.1147/rd.112.0215

Zienkiewicz, 1986, The patch test for mixed formulations, Int J Numer Methods Eng, 23, 1873, 10.1002/nme.1620231007

Zienkiewicz, 1989

Brezzi, 1987

Mira, 2003, A new stabilized enhanced strain element with equal order of interpolation for soil consolidation problems, Comput Methods Appl Mech Eng, 192, 4257, 10.1016/S0045-7825(03)00416-X

Hughes, 1980, Finite rotation effects in numerical integration of rate constitutive equations arriving in large deformation analysis, Int J Numer Anal Meth Geomech, 15, 1862, 10.1002/nme.1620151210

Simo, 1990, A class of mixed assumed strain methods and the method of incompatible modes, Int J Numer Meth Eng, 29, 1595, 10.1002/nme.1620290802

Brezzi, 1991

Boffi, 2013

Huang, 2004, On the stable finite element procedures for dynamic problems of saturated porous media, Int J Numer Meth Eng, 61, 1421, 10.1002/nme.1115

Li, 2003, An iterative stabilized fractional step algorithm for finite element analysis in saturated soil dynamics, Comput Methods Appl Mech Eng, 192, 3845, 10.1016/S0045-7825(03)00378-5

Blanc, 2012, A stabilized Fractional Step, RungeKutta Taylor SPH algorithm for coupled problems in geomechanics, Comput Methods Appl Mech Eng, 221–222, 41, 10.1016/j.cma.2012.02.006

Salomoni, 2005, A CBS-type stabilizing algorithm for the consolidation of saturated porous media, Int J Numer Meth Eng, 63, 502, 10.1002/nme.1275

Terzaghi, 1943

Mandel, 1953, Consolidation des sols (étude mathématique), Geotechnique, 3, 287, 10.1680/geot.1953.3.7.287

Cryer, 1963, A Comparison of the three-dimensional consolidation theories of Biot and Terzaghi, Q J Mech Appl Math, 16, 401, 10.1093/qjmam/16.4.401

Sulsky, 1996, Axisymmetric form of the material point method with applications to upsetting and Taylor impact problems, Comput Methods Appl Mech Eng, 139, 409, 10.1016/S0045-7825(96)01091-2

Cheng, 1996, Mandel’s problem revisited, Geotechnique, 46, 187, 10.1680/geot.1996.46.2.187

Mason, 1991, Evolution of stress and strain during the consolidation of a fluid-saturated porous elastic sphere, J Appl Phys, 70, 4724, 10.1063/1.349065

Alonso, 1990, A constitutive model for partially saturated soils, Geotechnique, 40, 405, 10.1680/geot.1990.40.3.405

Nuth, 2008, Effective stress concept in unsaturated soils: clarification and validation of a unified framework, Int J Numer Anal Meth Geomech, 32, 771, 10.1002/nag.645

Robert, 2013, Soil pipeline interaction in unsaturated soils, 303

Eckersley, 1990, Instrumented laboratory flowslides, Geotechnique, 40, 489, 10.1680/geot.1990.40.3.489

Olson, 2000, 1907 static liquefaction flow failure of the north dike of Wachusett dam, J Geotech Geoenviron Eng, 126, 1184, 10.1061/(ASCE)1090-0241(2000)126:12(1184)