메뉴 건너뛰기




Volumn 174, Issue 1-2, 1999, Pages 219-234

Stabilized low-order finite elements for failure and localization problems in undrained soils and foundations

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPRESSIBILITY OF LIQUIDS; FOUNDATIONS; INTERPOLATION; SOIL MECHANICS;

EID: 0033522609     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00316-8     Document Type: Article
Times cited : (52)

References (29)
  • 2
    • 0029492782 scopus 로고
    • A patch test for mesh alignment effects in localized failure
    • [2] M. Pastor and M. Quecedo, A patch test for mesh alignment effects in localized failure, Comm. Appl. Numer. Methods Engrg. 11 (1995) 1015-1024.
    • (1995) Comm. Appl. Numer. Methods Engrg. , vol.11 , pp. 1015-1024
    • Pastor, M.1    Quecedo, M.2
  • 3
    • 0016102164 scopus 로고
    • On numerically accurate finite element solutions in the fully plastic range
    • [3] J.C. Nagtegaal, D.M. Parks and J.R. Rice, On numerically accurate finite element solutions in the fully plastic range, Comput. Methods Appl. Mech. Engrg. 4 (1974) 153-177.
    • (1974) Comput. Methods Appl. Mech. Engrg. , vol.4 , pp. 153-177
    • Nagtegaal, J.C.1    Parks, D.M.2    Rice, J.R.3
  • 4
    • 0019998397 scopus 로고
    • Numerical prediction of collapse loads using finite element methods
    • [4] S.W. Sloan and M.F. Randolph, Numerical prediction of collapse loads using finite element methods, Int. J. Numer. Anal. Methods Geomech. 6 (1982) 47-76.
    • (1982) Int. J. Numer. Anal. Methods Geomech. , vol.6 , pp. 47-76
    • Sloan, S.W.1    Randolph, M.F.2
  • 5
    • 0028831685 scopus 로고
    • Localization problems in plasticity using finite elements with adaptive remeshing
    • [5] O.C. Zienkiewicz, M. Huang and M. Pastor, Localization problems in plasticity using finite elements with adaptive remeshing. Int. J. Numer. Anal. Methods Geomech. 19 (1995) 127-148.
    • (1995) Int. J. Numer. Anal. Methods Geomech. , vol.19 , pp. 127-148
    • Zienkiewicz, O.C.1    Huang, M.2    Pastor, M.3
  • 6
    • 34250459417 scopus 로고
    • The finite element method with Lagrange multipliers
    • [6] I. Babǔska, The finite element method with Lagrange multipliers, Numer. Math. 20 (1973) 179-192.
    • (1973) Numer. Math. , vol.20 , pp. 179-192
    • Babǔska, I.1
  • 7
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle point problems arising from Lagrangian multipliers
    • [7] F. Brezzi, On the existence, uniqueness and approximation of saddle point problems arising from Lagrangian multipliers, RAIRO 8-R2 (1974) 129-151.
    • (1974) RAIRO 8-R2 , pp. 129-151
    • Brezzi, F.1
  • 9
    • 0345643551 scopus 로고
    • General theory of three-dimensional consolidation
    • [9] M.A. Biot, General theory of three-dimensional consolidation, J. Appl. Phys. 12 (1941) 155-164.
    • (1941) J. Appl. Phys. , vol.12 , pp. 155-164
    • Biot, M.A.1
  • 10
    • 24944571072 scopus 로고
    • Theory of elasticity and consolidation for a porous anisotropic solid
    • [10] M.A. Biot, Theory of elasticity and consolidation for a porous anisotropic solid, J. Appl. Phys. 26 (1955) 182-185.
    • (1955) J. Appl. Phys. , vol.26 , pp. 182-185
    • Biot, M.A.1
  • 11
    • 0019229736 scopus 로고
    • Drained, undrained, consolidating dynamic behaviour assumptions in soils
    • [11] O.C. Zienkiewicz, C.T. Chan and P. Bettess, Drained, undrained, consolidating dynamic behaviour assumptions in soils, Geotechnique 30 (1980) 385-395.
    • (1980) Geotechnique , vol.30 , pp. 385-395
    • Zienkiewicz, O.C.1    Chan, C.T.2    Bettess, P.3
  • 12
    • 0043186527 scopus 로고
    • Soils and other saturated media under transient, dynamic conditions: General formulation and the validity of the various simplifying assumptions
    • G.N. Pande and O.C. Zienkiewicz, eds., Chap. 1 Wiley, New York
    • [12] O.C. Zienkiewicz and P. Bettess, Soils and other saturated media under transient, dynamic conditions: general formulation and the validity of the various simplifying assumptions, in: G.N. Pande and O.C. Zienkiewicz, eds., Soil mechanics: Transient and Cyclic loads, Chap. 1 (Wiley, New York, 1982).
    • (1982) Soil Mechanics: Transient and Cyclic Loads
    • Zienkiewicz, O.C.1    Bettess, P.2
  • 13
    • 0021120563 scopus 로고
    • Dynamic behaviour of saturated porous media: The generalized Biot formulation and its numerical solution
    • [13] O.C. Zienkiewicz and T. Shiomi, Dynamic behaviour of saturated porous media: The generalized Biot formulation and its numerical solution, Int. J. Numer. Anal. Methods Geomech. 8 (1984) 71-96.
    • (1984) Int. J. Numer. Anal. Methods Geomech. , vol.8 , pp. 71-96
    • Zienkiewicz, O.C.1    Shiomi, T.2
  • 15
    • 0022810283 scopus 로고
    • A new finite element formulation for fluid dynamics. V. Circumventing the Babǔska-Brezzi condition: A stable Petrov-Galerkin formulation of the stokes problem accommodating equal order interpolation
    • [15] T.J.R. Hughes, L.P. Franca and M. Balestra, A new finite element formulation for fluid dynamics. V. Circumventing the Babǔska-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal order interpolation, Comput. Methods Appl. Mech. Engrg. 59 (1986) 85-99.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.59 , pp. 85-99
    • Hughes, T.J.R.1    Franca, L.P.2    Balestra, M.3
  • 16
    • 0041469517 scopus 로고
    • Numerical solution of the incompressible Navier-Stokes equations in primitive variables on unstaggered grids
    • 1561 - CP
    • [16] M. Hafez and M. Soliman, Numerical solution of the incompressible Navier-Stokes equations in primitive variables on unstaggered grids, Proc. AIAA Conf. 91 - 1561 - CP, 368-379, 1991.
    • (1991) Proc. AIAA Conf. 91 , pp. 368-379
    • Hafez, M.1    Soliman, M.2
  • 17
    • 0026239793 scopus 로고
    • Incompressibility without tears! How to avoid restrictions of mixed formulations
    • [17] O.C. Zienkiewicz and J. Wu, Incompressibility without tears! How to avoid restrictions of mixed formulations, Int. J. Numer. Methods Engrg. 32 (1991) 1184-1203.
    • (1991) Int. J. Numer. Methods Engrg. , vol.32 , pp. 1184-1203
    • Zienkiewicz, O.C.1    Wu, J.2
  • 18
    • 0002634212 scopus 로고
    • A new algorithm for the coupled soil - Pore fluid problem
    • [18] O.C. Zienkiewicz, M. Huang, J. Wu and S. Wu, A new algorithm for the coupled soil - pore fluid problem, Shock Vib. 1 (1993) 3-14.
    • (1993) Shock Vib. , vol.1 , pp. 3-14
    • Zienkiewicz, O.C.1    Huang, M.2    Wu, J.3    Wu, S.4
  • 19
    • 0002915710 scopus 로고
    • Computational soil dynamics - A new algorithm for drained and undrained conditions
    • H.J. Siriwardne and M.M. Zaman, eds. Balkema
    • [19] O.C. Zienkiewicz, M. Huang and M. Pastor, Computational soil dynamics - A new algorithm for drained and undrained conditions, Comput. Methods Adv. Geomech, 47-59. H.J. Siriwardne and M.M. Zaman, eds. (Balkema, 1994).
    • (1994) Comput. Methods Adv. Geomech , vol.47-59
    • Zienkiewicz, O.C.1    Huang, M.2    Pastor, M.3
  • 20
    • 0344326143 scopus 로고    scopus 로고
    • A mixed displacement-pressure formulation for numerical analysis of plastic failure
    • [20] M. Pastor, M. Quecedo and O.C. Zienkiewicz, A mixed displacement-pressure formulation for numerical analysis of plastic failure, Comput. Struct. (1996).
    • (1996) Comput. Struct.
    • Pastor, M.1    Quecedo, M.2    Zienkiewicz, O.C.3
  • 21
    • 0033458168 scopus 로고    scopus 로고
    • Stabilized finite elements with equal order of interpolation for soil dynamics problems
    • [21] M. Pastor, O.C. Zienkiewicz, T. Li, L. Xiaoqing and M. Huang, Stabilized finite elements with equal order of interpolation for soil dynamics problems, Arch. Comput. Mech. 6(1) (1999) 3-34.
    • (1999) Arch. Comput. Mech. , vol.6 , Issue.1 , pp. 3-34
    • Pastor, M.1    Zienkiewicz, O.C.2    Li, T.3    Xiaoqing, L.4    Huang, M.5
  • 23
    • 0003120070 scopus 로고
    • Numerical solution of incompressible flow problems
    • [23] A.J. Chorin, Numerical solution of incompressible flow problems, Studies Numer Anal. 2 (1968) 64-71.
    • (1968) Studies Numer Anal. , vol.2 , pp. 64-71
    • Chorin, A.J.1
  • 24
    • 0018153282 scopus 로고
    • Finite element analysis of incompressible flow incorporating equal order pressure and velocity interpolation
    • C. Taylor, K. Morgan and C. Brebbia, eds., Pentech Press, Plymouth
    • [24] G.E. Schneider, G.D. Raithby and M.M. Yovanovich, Finite element analysis of incompressible flow incorporating equal order pressure and velocity interpolation, in: C. Taylor, K. Morgan and C. Brebbia, eds., Numerical Methods for Laminar and Turbulent Flow (Pentech Press, Plymouth, 1978).
    • (1978) Numerical Methods for Laminar and Turbulent Flow
    • Schneider, G.E.1    Raithby, G.D.2    Yovanovich, M.M.3
  • 25
    • 0022153145 scopus 로고
    • Finite element analysis of density flow using velocity correction method
    • [25] M. Kawahara and K. Ohmiya, Finite element analysis of density flow using velocity correction method, Int. J. Numer. Methods Fluids 5 (1985) 981-993.
    • (1985) Int. J. Numer. Methods Fluids , vol.5 , pp. 981-993
    • Kawahara, M.1    Ohmiya, K.2
  • 26
    • 0029104589 scopus 로고
    • A general algorithm for compressible and incompressible flow. Part I: The split characteristic based scheme
    • [26] O.C. Zienkiewicz, R. Codina, K. Morgan and B.V.P. Satya Sai, A general algorithm for compressible and incompressible flow. Part I: The split characteristic based scheme, Int. J. Numer. Methods Fluids 20 (1995) 869-885.
    • (1995) Int. J. Numer. Methods Fluids , vol.20 , pp. 869-885
    • Zienkiewicz, O.C.1    Codina, R.2    Morgan, K.3    Satya Sai, B.V.P.4
  • 28
    • 0001956201 scopus 로고
    • A fractional step method for compressible flows: Boundary conditions and incompressible limit
    • M. Morandi Cecchi, K. Morgan, J. Periaux, B. Schrefler and O.C. Zienkiewicz, eds., Venezia, 15-21 Oct.
    • [28] R. Codina, M. Vázquez and O.C. Zienkiewicz, A fractional step method for compressible flows: boundary conditions and incompressible limit, in: M. Morandi Cecchi, K. Morgan, J. Periaux, B. Schrefler and O.C. Zienkiewicz, eds., Proc. Int. Conf. on Finite Elements in Fluids - New Trends and Applications, Venezia, 15-21 Oct. 1995, pp. 409-418.
    • (1995) Proc. Int. Conf. on Finite Elements in Fluids - New Trends and Applications , pp. 409-418
    • Codina, R.1    Vázquez, M.2    Zienkiewicz, O.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.