메뉴 건너뛰기




Volumn 176, Issue 1-4, 1999, Pages 127-146

Recovery procedures in error estimation and adaptivity. Part II: Adaptivity in nonlinear problems of elasto-plasticity behaviour

Author keywords

[No Author keywords available]

Indexed keywords

ELASTOPLASTICITY; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; STRESS ANALYSIS;

EID: 0032633739     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00333-8     Document Type: Article
Times cited : (81)

References (31)
  • 1
    • 0032628283 scopus 로고    scopus 로고
    • Recovery procedures in error estimation and adaptivity, part I: Adaptivity in linear problems
    • [1] O.C. Zienkiewicz, B. Boroomand and J.Z. Zhu, Recovery procedures in error estimation and adaptivity, Part I: Adaptivity in linear problems, Comput. Methods Appl. Mech. Engrg. 176 (1999) 111-125.
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.176 , pp. 111-125
    • Zienkiewicz, O.C.1    Boroomand, B.2    Zhu, J.Z.3
  • 2
    • 0041127805 scopus 로고
    • Mesh generation and mesh refinement procedures for computational plasticity
    • D.R.J Owen et al., eds., Pineridge Press, Swansea
    • [2] H. Jin, L. Bernspang, R. Larsson and N.B. Wiberg, Mesh generation and mesh refinement procedures for computational plasticity, in: D.R.J Owen et al., eds., Computational Plasticity II: Models, Software and Applications (Pineridge Press, Swansea, 1989) 347-357.
    • (1989) Computational Plasticity II: Models, Software and Applications , pp. 347-357
    • Jin, H.1    Bernspang, L.2    Larsson, R.3    Wiberg, N.B.4
  • 4
    • 0026226423 scopus 로고
    • Adaptive mesh refinement in strain localization problems
    • [4] M. Ortiz and J.J. Quigley, IV, Adaptive mesh refinement in strain localization problems, Comput. Methods Appl. Mech. Engrg. 90 (1991) 781-804.
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.90 , pp. 781-804
    • Ortiz, M.1    Quigley J.J. IV2
  • 5
    • 0027004931 scopus 로고
    • Adaptive finite element methods in computational mechanics
    • [5] C. Johnson and P. Hansbo, Adaptive finite element methods in computational mechanics, Comput. Methods Appl. Mech. Engrg. 101 (1992) 143-181.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.101 , pp. 143-181
    • Johnson, C.1    Hansbo, P.2
  • 6
    • 0027838149 scopus 로고
    • W-adaptive finite element methods for dynamic problems, with emphasis on localization
    • [6] T. Belytschko and M. Tabbara, W-Adaptive finite element methods for dynamic problems, with emphasis on localization, Int. J. Numer. Methods Engrg. 36 (1993) 4245-4265.
    • (1993) Int. J. Numer. Methods Engrg. , vol.36 , pp. 4245-4265
    • Belytschko, T.1    Tabbara, M.2
  • 7
    • 0028425950 scopus 로고
    • Error indicators and adaptive remeshing in large deformation finite element analysis
    • [7] N.S. Lee and K.J. Bathe, Error indicators and adaptive remeshing in large deformation finite element analysis, Finite Elem. Anal. Des. 16 (1994) 99-139.
    • (1994) Finite Elem. Anal. Des. , vol.16 , pp. 99-139
    • Lee, N.S.1    Bathe, K.J.2
  • 8
    • 0028410330 scopus 로고
    • On error estimates and adaptivity in elastoplastic solids: Application to the numerical simulation of strain localization in classical and Cesserat continua
    • [8] D. Peric, J. Yu and D.R.J. Owen, On error estimates and adaptivity in elastoplastic solids: application to the numerical simulation of strain localization in classical and Cesserat continua, Int. J. Numer. Methods Engrg. 37 (1994) 1351-1379.
    • (1994) Int. J. Numer. Methods Engrg. , vol.37 , pp. 1351-1379
    • Peric, D.1    Yu, J.2    Owen, D.R.J.3
  • 10
    • 0028831685 scopus 로고
    • Localization problems in plasticity using finite elements with adaptive remeshing
    • [10] 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
  • 11
    • 0029539894 scopus 로고
    • Softening, localization and adaptive remeshing. Capture of discontinuous solution
    • [11] O.C. Zienkiewicz, M. Pastor and M. Huang, Softening, localization and adaptive remeshing. Capture of discontinuous solution, Comput. Mech. 17 (1995) 98-106.
    • (1995) Comput. Mech. , vol.17 , pp. 98-106
    • Zienkiewicz, O.C.1    Pastor, M.2    Huang, M.3
  • 14
    • 0031143929 scopus 로고    scopus 로고
    • Adaptive mesh refinement for localised phenomena
    • [14] A. Selman, E. Hinton and N. Bićanić, Adaptive mesh refinement for localised phenomena, Comput. Struct. 63(3) (1997) 475-495.
    • (1997) Comput. Struct. , vol.63 , Issue.3 , pp. 475-495
    • Selman, A.1    Hinton, E.2    Bićanić, N.3
  • 15
    • 0030212427 scopus 로고    scopus 로고
    • Computational modelling of impact damage in brittle materials
    • [15] G.T. Camacho and M. Ortiz, Computational modelling of impact damage in brittle materials, Int. J. Solids Struct. 33 (1996) 2899-2938.
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 2899-2938
    • Camacho, G.T.1    Ortiz, M.2
  • 16
    • 0031095101 scopus 로고    scopus 로고
    • Adaptive Lagrangian modelling of ballistic penetration of metallic targets
    • [16] G.T. Camacho and M. Ortiz, Adaptive Lagrangian modelling of ballistic penetration of metallic targets, Comput. Methods Appl. Mech. Engrg. 142 (1997) 269-301.
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.142 , pp. 269-301
    • Camacho, G.T.1    Ortiz, M.2
  • 17
    • 0039940945 scopus 로고
    • Adaptive mesh updating in plasticity problems and an improved solution process using SPR. A preliminary study
    • N. Wiberg, ed.
    • [17] O.C. Zienkiewicz and B. Boroomand, Adaptive mesh updating in plasticity problems and an improved solution process using SPR. A preliminary study, in: N. Wiberg, ed., Advances in Finite Element Technology (1995) 1-21.
    • (1995) Advances in Finite Element Technology , pp. 1-21
    • Zienkiewicz, O.C.1    Boroomand, B.2
  • 18
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique
    • [18] O.C. Zienkiewicz and J.Z. Zhu, The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique, Int. J. Numer. Methods Engrg. 33 (1992) 1331-1364.
    • (1992) Int. J. Numer. Methods Engrg. , vol.33 , pp. 1331-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 20
    • 0031233850 scopus 로고    scopus 로고
    • An improved REP recovery and the effectivity robustness test
    • [20] B. Boroomand and O.C. Zienkiewicz, An improved REP recovery and the effectivity robustness test, Int. J. Numer. Methods Engrg. 40 (1997) 3247-3277.
    • (1997) Int. J. Numer. Methods Engrg. , vol.40 , pp. 3247-3277
    • Boroomand, B.1    Zienkiewicz, O.C.2
  • 22
    • 0022678185 scopus 로고
    • A return mapping algorithm for plane stress elasto-plasticity
    • [22] R.L. Taylor and J.C. Simo, A return mapping algorithm for plane stress elasto-plasticity, Int. J. Numer. Methods Engrg. 22 (1986) 649-670.
    • (1986) Int. J. Numer. Methods Engrg. , vol.22 , pp. 649-670
    • Taylor, R.L.1    Simo, J.C.2
  • 23
    • 0022678405 scopus 로고
    • An analysis of a new class of integration algorithms for elasto-plastic constitutive relations
    • [23] M. Ortiz and J.C. Simo, An analysis of a new class of integration algorithms for elasto-plastic constitutive relations, Int. J. Numer. Methods Engrg. 23 (1986) 353-366.
    • (1986) Int. J. Numer. Methods Engrg. , vol.23 , pp. 353-366
    • Ortiz, M.1    Simo, J.C.2
  • 24
    • 0019057349 scopus 로고
    • Generalization of selective integration procedures to anisotropic and nonlinear media
    • [24] T.R.J. Hughes, Generalization of selective integration procedures to anisotropic and nonlinear media, Int. J. Numer. Methods Engrg. 15 (1980) 1413-1418.
    • (1980) Int. J. Numer. Methods Engrg. , vol.15 , pp. 1413-1418
    • Hughes, T.R.J.1
  • 25
    • 46549096707 scopus 로고
    • Variational and projection methods for the volume constraint in finite deformation plasticity
    • [25] J.C. Simo, R.L. Taylor and K.S. Pister, Variational and projection methods for the volume constraint in finite deformation plasticity, Comput. Methods Appl. Mech. Engrg. 51 (1985) 177-208.
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.51 , pp. 177-208
    • Simo, J.C.1    Taylor, R.L.2    Pister, K.S.3
  • 26
    • 0024734081 scopus 로고
    • Error estimates and convergence rates for various incompressible elements
    • [26] O.C. Zienkiewicz, Y.C. Liu and G.C. Huang, Error estimates and convergence rates for various incompressible elements, Int. J. Numer. Methods Engrg. 28 (1989) 2191-2202.
    • (1989) Int. J. Numer. Methods Engrg. , vol.28 , pp. 2191-2202
    • Zienkiewicz, O.C.1    Liu, Y.C.2    Huang, G.C.3
  • 27
    • 0023288565 scopus 로고
    • A simple error estimator and adaptive procedure for practical engineering analysis
    • [27] O.C. Zienkiewicz and J.Z. Zhu, A simple error estimator and adaptive procedure for practical engineering analysis, Int. J. Numer. Methods Engrg. 24 (1987) 337-357.
    • (1987) Int. J. Numer. Methods Engrg. , vol.24 , pp. 337-357
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 28
    • 0020927390 scopus 로고
    • Design of an optimal grid for finite element methods
    • [28] A.R. Daiz, P. Kikuchi and J.E. Taylor, Design of an optimal grid for finite element methods, J. Struct. Mech. 11 (1983).
    • (1983) J. Struct. Mech. , vol.11
    • Daiz, A.R.1    Kikuchi, P.2    Taylor, J.E.3
  • 30
    • 0015985456 scopus 로고
    • Local and global smoothing of discontinuous finite element functions using a least squares method
    • [30] E. Hinton and J.S. Campbell, Local and global smoothing of discontinuous finite element functions using a least squares method. Int. J. Numer. Methods Engrg. 8 (1974) 461-480.
    • (1974) Int. J. Numer. Methods Engrg. , vol.8 , pp. 461-480
    • Hinton, E.1    Campbell, J.S.2
  • 31
    • 0017558743 scopus 로고
    • Continuous stress fields in finite element analysis
    • [31] G. Loubignac, G. Cantin and G. Touzot, Continuous stress fields in finite element analysis, AIAA J. 15 (1977) 1645-1647.
    • (1977) AIAA J. , vol.15 , pp. 1645-1647
    • Loubignac, G.1    Cantin, G.2    Touzot, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.