메뉴 건너뛰기




Volumn 37, Issue 1, 2013, Pages 1-30

A stabilized Smoothed Particle Hydrodynamics, Taylor-Galerkin algorithm for soil dynamics problems

Author keywords

Dynamics; Localization; Numerical diffusion and dispersion; SPH; Taylor Galerkin; Taylor SPH; Tensile instability

Indexed keywords

GALERKIN; LOCALIZATION; NUMERICAL DIFFUSION; SPH; TAYLOR-SPH; TENSILE INSTABILITIES;

EID: 84871229866     PISSN: 03639061     EISSN: 10969853     Source Type: Journal    
DOI: 10.1002/nag.1082     Document Type: Article
Times cited : (39)

References (70)
  • 5
    • 0033883295 scopus 로고    scopus 로고
    • Application of a fractional step method to localization problems
    • Quecedo M, Pastor M, Zienkiewicz OC. Application of a fractional step method to localization problems. Computers and Structures 2000; 74:535-545.
    • (2000) Computers and Structures , vol.74 , pp. 535-545
    • Quecedo, M.1    Pastor, M.2    Zienkiewicz, O.C.3
  • 8
    • 0141796472 scopus 로고    scopus 로고
    • A new stabilized enhanced strain element with equal order of interpolation for soil consolidation problems
    • Mira P, Pastor M, Li T, Liu X. A new stabilized enhanced strain element with equal order of interpolation for soil consolidation problems. Computer Methods in Applied Mechanics and Engineering 2003; 192:4257-4277.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 4257-4277
    • Mira, P.1    Pastor, M.2    Li, T.3    Liu, X.4
  • 10
    • 0018704408 scopus 로고
    • A multi-dimensional upwind scheme with no crosswind diffusion
    • Hughes TJR (ed.). ASME: New-York
    • Hughes TJR, Brooks AN. A multi-dimensional upwind scheme with no crosswind diffusion. In Applied Mechanics Division, Hughes TJR (ed.). ASME: New-York, 1979.
    • (1979) Applied Mechanics Division
    • Hughes, T.J.R.1    Brooks, A.N.2
  • 14
    • 84871201493 scopus 로고
    • A finite element method for convection dominated flows. Ph.D. Thesis, University College of Swansea, Swansea
    • Peraire J. A finite element method for convection dominated flows. Ph.D. Thesis, University College of Swansea, Swansea, 1986.
    • (1986)
    • Peraire, J.1
  • 16
    • 0000390445 scopus 로고
    • An analysis of time discretization in the finite element solution of hyperbolic problems
    • Donea J, Quartapelle L, Selmin V. An analysis of time discretization in the finite element solution of hyperbolic problems. Journal of Computational Physics 1987; 70:463-499.
    • (1987) Journal of Computational Physics , vol.70 , pp. 463-499
    • Donea, J.1    Quartapelle, L.2    Selmin, V.3
  • 17
    • 0030196801 scopus 로고    scopus 로고
    • A time domain unstructured grid approach to the simulation of electromagnetic scattering in piecewise homogeneous media
    • Morgan K, Hassan O, Peraire J. A time domain unstructured grid approach to the simulation of electromagnetic scattering in piecewise homogeneous media. Computer Methods in Applied Mechanics and Engineering 1996; 134:17-36.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.134 , pp. 17-36
    • Morgan, K.1    Hassan, O.2    Peraire, J.3
  • 20
    • 0037436148 scopus 로고    scopus 로고
    • A Taylor-Galerkin algorithm for shock wave propagation and strain localization failure of viscoplastic continua
    • Mabssout M, Pastor M. A Taylor-Galerkin algorithm for shock wave propagation and strain localization failure of viscoplastic continua. Computer Methods in Applied Mechanics and Engineering 2003; 192:955-971.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 955-971
    • Mabssout, M.1    Pastor, M.2
  • 21
  • 22
    • 0027554904 scopus 로고
    • High-Order Taylor-Galerkin and Adaptive H-P Methods for 2nd-Order Hyperbolic Systems - Application to Elastodynamics
    • Safjan A, Oden JT. High-Order Taylor-Galerkin and Adaptive H-P Methods for 2nd-Order Hyperbolic Systems - Application to Elastodynamics. Computer Methods in Applied Mechanics and Engineering 1993; 103:187-230.
    • (1993) Computer Methods in Applied Mechanics and Engineering , vol.103 , pp. 187-230
    • Safjan, A.1    Oden, J.T.2
  • 23
    • 0001281652 scopus 로고
    • High-Order Taylor-Galerkin Methods for Linear Hyperbolic Systems
    • Safjan A, Oden JT. High-Order Taylor-Galerkin Methods for Linear Hyperbolic Systems. Journal of Computational Physics 1995; 120:206-230.
    • (1995) Journal of Computational Physics , vol.120 , pp. 206-230
    • Safjan, A.1    Oden, J.T.2
  • 24
    • 38249031645 scopus 로고
    • An Explicit Velocity Based Lax-Wendroff Taylor-Galerkin Methodology of Computation for the Dynamics of Structures
    • Tamma KK, Namburu RR. An Explicit Velocity Based Lax-Wendroff Taylor-Galerkin Methodology of Computation for the Dynamics of Structures. Computers and Structures 1988; 30:1017-1024.
    • (1988) Computers and Structures , vol.30 , pp. 1017-1024
    • Tamma, K.K.1    Namburu, R.R.2
  • 25
    • 0003120070 scopus 로고
    • Numerical solution of incompressible flow problems
    • Chorin AJ. Numerical solution of incompressible flow problems. Studies in Numerical Analysis 1968; 2:64-71.
    • (1968) Studies in Numerical Analysis , vol.2 , pp. 64-71
    • Chorin, A.J.1
  • 26
    • 0018153282 scopus 로고
    • Finite element analysis of incompressible flow incorporating equal order pressure and velocity interpolation
    • Taylor C, Morgan K, Brebbia C (eds). Pentech Press: Plymouth
    • Schneider GE, Raithby GD, Yovanovich MM. Finite element analysis of incompressible flow incorporating equal order pressure and velocity interpolation. In Numerical Methods for Laminar and Turbulent Flow, Taylor C, Morgan K, Brebbia C (eds). Pentech Press: Plymouth, 1978.
    • (1978) Numerical Methods for Laminar and Turbulent Flow
    • Schneider, G.E.1    Raithby, G.D.2    Yovanovich, M.M.3
  • 29
    • 0033522609 scopus 로고    scopus 로고
    • Stabilized low-order finite elements for failure and localization problems in undrained soils and foundations
    • Pastor M, Li T, Liu X, Zienkiewicz OC. Stabilized low-order finite elements for failure and localization problems in undrained soils and foundations. Computer Methods in Applied Mechanics and Engineering 1999; 174:219-234.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.174 , pp. 219-234
    • Pastor, M.1    Li, T.2    Liu, X.3    Zienkiewicz, O.C.4
  • 30
    • 0042925521 scopus 로고    scopus 로고
    • An iterative stabilized fractional step algorithm for finite element analysis in saturated soil dynamics
    • Li X, Han X, Pastor M. An iterative stabilized fractional step algorithm for finite element analysis in saturated soil dynamics. Computer Methods in Applied Mechanics and Engineering 2003; 192:3845-3859.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 3845-3859
    • Li, X.1    Han, X.2    Pastor, M.3
  • 31
    • 0027035536 scopus 로고
    • Generalizing the finite element methods: diffuse approximation and diffuse elements
    • Nayroles B, Touzot G, Villon P. Generalizing the finite element methods: diffuse approximation and diffuse elements. Computational Mechanics 1992; 10:307-318.
    • (1992) Computational Mechanics , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 32
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri SN, Zhu T. A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Computational Mechanics 1998; 22:117-127.
    • (1998) Computational Mechanics , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 35
    • 84871223634 scopus 로고
    • The partition of unity element method. (Report)
    • Babuska BI, Melenk J. The partition of unity element method. (Report), 1995.
    • (1995)
    • Babuska, B.I.1    Melenk, J.2
  • 36
    • 0032071696 scopus 로고    scopus 로고
    • A mesh free finite point method for advective-diffusive transport and fluid flow problems
    • Oñate E, Idelsohn S. A mesh free finite point method for advective-diffusive transport and fluid flow problems. Computational Mechanics 1998; 21:283-292.
    • (1998) Computational Mechanics , vol.21 , pp. 283-292
    • Oñate, E.1    Idelsohn, S.2
  • 38
    • 0001765873 scopus 로고
    • Numerical Approach to Testing of Fission Hypothesis
    • Lucy LB. Numerical Approach to Testing of Fission Hypothesis. The Astronomical Journal 1977; 82:1013-1024.
    • (1977) The Astronomical Journal , vol.82 , pp. 1013-1024
    • Lucy, L.B.1
  • 40
    • 84871250730 scopus 로고    scopus 로고
    • Analysis of smoothed particle hydrodynamics woth applications. Ph.D. Thesis, Monash University
    • Morris JP. Analysis of smoothed particle hydrodynamics woth applications. Ph.D. Thesis, Monash University, 1996.
    • (1996)
    • Morris, J.P.1
  • 42
    • 0001364855 scopus 로고
    • Numerical-Simulation of Viscous-Flow by Smoothed Particle Hydrodynamics
    • Takeda H, Miyama SM, Sekiya M. Numerical-Simulation of Viscous-Flow by Smoothed Particle Hydrodynamics. Progress of Theoretical Physics 1994; 92:939-960.
    • (1994) Progress of Theoretical Physics , vol.92 , pp. 939-960
    • Takeda, H.1    Miyama, S.M.2    Sekiya, M.3
  • 44
    • 0031237355 scopus 로고    scopus 로고
    • Modeling low Reynolds number incompressible flows using SPH
    • Morris JP, Fox PJ, Zhu Y. Modeling low Reynolds number incompressible flows using SPH. Journal of Computational Physics 1997; 136:214-226.
    • (1997) Journal of Computational Physics , vol.136 , pp. 214-226
    • Morris, J.P.1    Fox, P.J.2    Zhu, Y.3
  • 46
    • 0034723949 scopus 로고    scopus 로고
    • Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations
    • Bonet J, Kulasegaram S. Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations. International Journal for Numerical Methods in Engineering 2000; 47:1189-1214.
    • (2000) International Journal for Numerical Methods in Engineering , vol.47 , pp. 1189-1214
    • Bonet, J.1    Kulasegaram, S.2
  • 49
    • 84871205271 scopus 로고    scopus 로고
    • A New continuum dynamic model for the analysis of extremely rapid landslide motion across complex 3D terrain. Ph.D. Thesis, University of Britiesh Columbia
    • McDougall S. A New continuum dynamic model for the analysis of extremely rapid landslide motion across complex 3D terrain. Ph.D. Thesis, University of Britiesh Columbia, 1998.
    • (1998)
    • McDougall, S.1
  • 51
    • 34248182376 scopus 로고    scopus 로고
    • Numerical simulation of fluid-structure interaction by SPH
    • Antoci C, Gallati M, Sibilla S. Numerical simulation of fluid-structure interaction by SPH. Computers and Structures 2007; 85:879-890.
    • (2007) Computers and Structures , vol.85 , pp. 879-890
    • Antoci, C.1    Gallati, M.2    Sibilla, S.3
  • 52
    • 40049105200 scopus 로고    scopus 로고
    • Numerical simulation of soil-water interaction using smoothed particle hydrodynamics (SPH) method
    • 346.
    • Bui HH, Sako K, Fukagawa R. Numerical simulation of soil-water interaction using smoothed particle hydrodynamics (SPH) method. Journal of Terramechanics 2007; 44:339-346.
    • (2007) Journal of Terramechanics , vol.44 , pp. 339
    • Bui, H.H.1    Sako, K.2    Fukagawa, R.3
  • 53
    • 50449105133 scopus 로고    scopus 로고
    • Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic-plastic soil constitutive model
    • Bui HH, Fukagawa R, Sako K, Ohno S. 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 2008; 32:1537-1570.
    • (2008) International Journal for Numerical and Analytical Methods in Geomechanics , vol.32 , pp. 1537-1570
    • Bui, H.H.1    Fukagawa, R.2    Sako, K.3    Ohno, S.4
  • 55
    • 0029410993 scopus 로고
    • An Approach for Tension Instability in Smoothed Particle Hydrodynamics (SPH)
    • Dyka CT, Ingel RP. An Approach for Tension Instability in Smoothed Particle Hydrodynamics (SPH). Computers and Structures 1995; 57:573-580.
    • (1995) Computers and Structures , vol.57 , pp. 573-580
    • Dyka, C.T.1    Ingel, R.P.2
  • 58
    • 84871199538 scopus 로고
    • Wave propagation, localistation and dispersion in softening solids. Ph.D. Thesis, Delft University of Technology, Delft
    • Sluys LJ. Wave propagation, localistation and dispersion in softening solids. Ph.D. Thesis, Delft University of Technology, Delft, 1992.
    • (1992)
    • Sluys, L.J.1
  • 60
    • 85025050441 scopus 로고
    • Correspondence on 'The yielding and dilatation of clay'
    • Burland JB. Correspondence on 'The yielding and dilatation of clay'. Geotechnique 1965; 15:211-214.
    • (1965) Geotechnique , vol.15 , pp. 211-214
    • Burland, J.B.1
  • 67
    • 84871229906 scopus 로고
    • Centro de Estudios y Experimentación de Obras Publicas: Madrid
    • Pastor M. Rotura por localizacion en geomateriales. Centro de Estudios y Experimentación de Obras Publicas: Madrid, 1994.
    • (1994) Rotura por localizacion en geomateriales
    • Pastor, M.1
  • 70
    • 84871241392 scopus 로고    scopus 로고
    • The Runge-Kutta Taylor-SPH model, a new improved model for soil dynamics problems. Ph.D. Thesis, ETSI de Ingenieros de Caminos, Canales y Puertos - Universidad Politécnica de Madrid, Madrid
    • Blanc T. The Runge-Kutta Taylor-SPH model, a new improved model for soil dynamics problems. Ph.D. Thesis, ETSI de Ingenieros de Caminos, Canales y Puertos - Universidad Politécnica de Madrid, Madrid, 2010.
    • (2010)
    • Blanc, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.