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Volumn 30, Issue 5-6, 2003, Pages 421-427

Limit analysis of viscoplastic flows using an extended general algorithm sequentially: Convergence analysis and validation

Author keywords

H lder inequality; Sequential limit analysis; Upper bound; Viscoplasticity

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; CYLINDERS (SHAPES); PRESSURE;

EID: 0038604294     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-003-0419-2     Document Type: Article
Times cited : (15)

References (24)
  • 1
    • 0022129964 scopus 로고
    • Finite element formulations for non-steady-state large viscoplastic deformation
    • Bohatier C, Chenot JL (1985) Finite element formulations for non-steady-state large viscoplastic deformation. Int. J. Numer. Meth. Eng. 21: 1697-1708
    • (1985) Int. J. Numer. Meth. Eng. , vol.21 , pp. 1697-1708
    • Bohatier, C.1    Chenot, J.L.2
  • 2
    • 0032761625 scopus 로고    scopus 로고
    • An improved iterative method for large strain viscoplastic problems
    • Cao HL, Potier-Ferry M (1999) An improved iterative method for large strain viscoplastic problems. Int. J. Numer. Meth. Eng. 44: 155-176
    • (1999) Int. J. Numer. Meth. Eng. , vol.44 , pp. 155-176
    • Cao, H.L.1    Potier-Ferry, M.2
  • 3
    • 0003812783 scopus 로고
    • Limit analysis and soil plasticity
    • Amsterdam: Elsevier
    • Chen WF (1975) Limit analysis and soil plasticity. Amsterdam: Elsevier
    • (1975)
    • Chen, W.F.1
  • 4
    • 85137263885 scopus 로고
    • A definition of stable inelastic material in the mechanics of continua
    • Drucker DC (1959) A definition of stable inelastic material in the mechanics of continua. J. Appl. Mech. 81: 101-106
    • (1959) J. Appl. Mech. , vol.81 , pp. 101-106
    • Drucker, D.C.1
  • 5
    • 0001960486 scopus 로고
    • First course in functional analysis
    • Prentice-Hall, Englewood Cliffs, NJ
    • Goffman C, Pedrick G (1965) First course in functional analysis. Prentice-Hall, Englewood Cliffs, NJ, pp. 2-6
    • (1965) , pp. 2-6
    • Goffman, C.1    Pedrick, G.2
  • 6
    • 44949281272 scopus 로고
    • A general algorithm for limit solutions of plane stress problems
    • Huh H, Yang WH (1991) A general algorithm for limit solutions of plane stress problems. Int. J. Solids Struct. 28: 727-738
    • (1991) Int. J. Solids Struct. , vol.28 , pp. 727-738
    • Huh, H.1    Yang, W.H.2
  • 7
    • 0027539965 scopus 로고
    • Eulerian finite-element modeling of the extrusion process for work-hardening materials with the extended concept of limit analysis
    • Huh H, Lee CH (1993) Eulerian finite-element modeling of the extrusion process for work-hardening materials with the extended concept of limit analysis. J. Mater. Processing Tech. 38: 51-62
    • (1993) J. Mater. Processing Tech. , vol.38 , pp. 51-62
    • Huh, H.1    Lee, C.H.2
  • 8
    • 0031147232 scopus 로고    scopus 로고
    • An upper bound finite element procedure for solving large plane strain deformation
    • Hwan CL (1997) An upper bound finite element procedure for solving large plane strain deformation. Int. J. Numer. Meth. Eng. 40: 1909-1922
    • (1997) Int. J. Numer. Meth. Eng. , vol.40 , pp. 1909-1922
    • Hwan, C.L.1
  • 9
    • 0028457060 scopus 로고
    • Regularized method in limit analysis
    • Jiang GL (1994) Regularized method in limit analysis. J. Eng. Mech. 120: 1179-1197
    • (1994) J. Eng. Mech. , vol.120 , pp. 1179-1197
    • Jiang, G.L.1
  • 10
    • 0029359458 scopus 로고
    • Nonlinear finite element formulation of kinematic limit analysis
    • Jiang GL (1995) Nonlinear finite element formulation of kinematic limit analysis. Int. J. Numer. Meth. Eng. 38: 2775-2807
    • (1995) Int. J. Numer. Meth. Eng. , vol.38 , pp. 2775-2807
    • Jiang, G.L.1
  • 11
    • 0038549476 scopus 로고
    • Numerical solution of viscoplastic flow problems by augmented Lagrangians
    • Le Tallec P (1986) Numerical solution of viscoplastic flow problems by augmented Lagrangians. IMA J. Numer. Anal. 6: 185-219
    • (1986) IMA J. Numer. Anal. , vol.6 , pp. 185-219
    • Le Tallec, P.1
  • 13
    • 0003488911 scopus 로고
    • Linear and nonlinear programming
    • Addison-Wesley, Reading, MA
    • Luenberger DG (1984) Linear and nonlinear programming. Addison-Wesley, Reading, MA
    • (1984)
    • Luenberger, D.G.1
  • 14
    • 0021172614 scopus 로고
    • A tangent modulus method for rate dependent solids
    • Peirce D, Shih CF, Needleman A (1984) A tangent modulus method for rate dependent solids. Comput. Struct. 18: 875-887
    • (1984) Comput. Struct. , vol.18 , pp. 875-887
    • Peirce, D.1    Shih, C.F.2    Needleman, A.3
  • 15
    • 0003542359 scopus 로고
    • Theory of perfectly plastic solids
    • John Wiley and Sons, New York
    • Prager W, Hodge PG (1951) Theory of perfectly plastic solids. John Wiley and Sons, New York, pp. 115-118
    • (1951) , pp. 115-118
    • Prager, W.1    Hodge, P.G.2
  • 16
    • 0003391485 scopus 로고
    • Applied functional analysis and variational methods in engineering
    • New York: McGraw-Hill
    • Reddy JN (1986) Applied functional analysis and variational methods in engineering. New York: McGraw-Hill
    • (1986)
    • Reddy, J.N.1
  • 17
    • 0003410798 scopus 로고
    • An introduction to the finite element method
    • New York: McGraw-Hill
    • Reddy JN (1993) An introduction to the finite element Method. New York: McGraw-Hill
    • (1993)
    • Reddy, J.N.1
  • 18
    • 0017976992 scopus 로고
    • An approximate analysis for studying the deformation mechanics of rate sensitive materials
    • Tomita Y, Sowerby R (1978) An approximate analysis for studying the deformation mechanics of rate sensitive materials. Int. J. Mech. Sci. 20: 361-371
    • (1978) Int. J. Mech. Sci. , vol.20 , pp. 361-371
    • Tomita, Y.1    Sowerby, R.2
  • 20
    • 0019609536 scopus 로고
    • A variational principle and an algorithm for limit analysis of beams and plates
    • Yang WH (1982) A variational principle and an algorithm for limit analysis of beams and plates. Comput. Meth. Appl. Mech. Eng. 33: 575-582
    • (1982) Comput. Meth. Appl. Mech. Eng. , vol.33 , pp. 575-582
    • Yang, W.H.1
  • 21
    • 0037535354 scopus 로고
    • Admissibility of discontinuous solutions in mathematical models of plasticity
    • In: Yang WH (ed.); AM Press, MI
    • Yang WH (1991a) Admissibility of discontinuous solutions in mathematical models of plasticity. In: Yang WH (ed.) Topics in Plasticity. AM Press, MI, pp. 241-260
    • (1991) Topics in Plasticity , pp. 241-260
    • Yang, W.H.1
  • 23
    • 0027148629 scopus 로고
    • Large deformation of structures by sequential limit analysis
    • Yang WH (1993) Large deformation of structures by sequential limit analysis. Int. J. Solids Struct. 30: 1001-1013
    • (1993) Int. J. Solids Struct. , vol.30 , pp. 1001-1013
    • Yang, W.H.1
  • 24
    • 0028442347 scopus 로고
    • Limit analysis considering initial constant loadings and proportional loadings
    • Zhang YG, Zhang P, Xue WM (1994) Limit analysis considering initial constant loadings and proportional loadings. Comput. Mech. 14: 229-234
    • (1994) Comput. Mech. , vol.14 , pp. 229-234
    • Zhang, Y.G.1    Zhang, P.2    Xue, W.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.