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Volumn 147, Issue 1-2, 1997, Pages 167-185

Convergence of Newton-type methods in incremental return mapping analysis of elasto-plastic problems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; ITERATIVE METHODS; LARGE SCALE SYSTEMS; MATHEMATICAL OPERATORS; NONLINEAR SYSTEMS; STIFFNESS; STRESS ANALYSIS;

EID: 0031186867     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00012-1     Document Type: Article
Times cited : (27)

References (14)
  • 1
    • 0042736577 scopus 로고
    • On global convergence of iterative methods
    • R. Ansorge et al., eds., Iterative Solution of Nonlinear Systems of Equations, Springer-Verlag
    • O. Axelsson, On global convergence of iterative methods, in: R. Ansorge et al., eds., Iterative Solution of Nonlinear Systems of Equations, Lect. Notes in Math. 953 (Springer-Verlag, 1980).
    • (1980) Lect. Notes in Math. , vol.953
    • Axelsson, O.1
  • 3
    • 0031071687 scopus 로고    scopus 로고
    • Convergence of inexact Newton-like iterations in incremental finite element analysis of elasto-plastic problems
    • Report No. 9524, Dept. of Math., University of Nijmegen
    • R. Blaheta and O. Axelsson, Convergence of inexact Newton-like iterations in incremental finite element analysis of elasto-plastic problems. Report No. 9524, Dept. of Math., University of Nijmegen, Comput. Methods Appl. Mech. Engrg. 141 (1997) 281-295.
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.141 , pp. 281-295
    • Blaheta, R.1    Axelsson, O.2
  • 4
    • 0029428043 scopus 로고
    • Solution of large nonlinear systems in elasto-plastic incremental analysis
    • R. Blaheta and R. Kohut, Solution of large nonlinear systems in elasto-plastic incremental analysis, J. Comput. Appl. Math. 63 (1995) 255-264.
    • (1995) J. Comput. Appl. Math. , vol.63 , pp. 255-264
    • Blaheta, R.1    Kohut, R.2
  • 5
    • 23544436878 scopus 로고
    • Pineridge Press, Swansea
    • D.R.J. Owen et al., eds., Computational Plasticity, I-IV (Pineridge Press, Swansea, 1987, 1989, 1992 and 1995).
    • (1987) Computational Plasticity , vol.1-4
    • Owen, D.R.J.1
  • 6
    • 0023827968 scopus 로고
    • Tangentiale steifigkeitsmatrizen bei anwendung von projektionverfahren in der elastoplastizitätstheorie
    • F. Gruttmann and E. Stein, Tangentiale steifigkeitsmatrizen bei anwendung von projektionverfahren in der elastoplastizitätstheorie. Ingeneur-Archiv. 58 (1988) 15-24.
    • (1988) Ingeneur-Archiv. , vol.58 , pp. 15-24
    • Gruttmann, F.1    Stein, E.2
  • 8
    • 0022131597 scopus 로고
    • Accuracy and stability of integration algorithms for elastoplastic constitutive equations
    • M. Ortiz and E.P. Popov, Accuracy and stability of integration algorithms for elastoplastic constitutive equations, Int. J. Numer. Methods Engrg. 21 (1985) 1561-1576.
    • (1985) Int. J. Numer. Methods Engrg. , vol.21 , pp. 1561-1576
    • Ortiz, M.1    Popov, E.P.2
  • 9
    • 0022678405 scopus 로고
    • An analysis of a new class of integration algorithms for elasto-plastic constitutive relations
    • 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. 48 (1986) 101-118.
    • (1986) Int. J. Numer. Methods Engrg. , vol.48 , pp. 101-118
    • Ortiz, M.1    Simo, J.C.2
  • 11
    • 0028669547 scopus 로고
    • An evaluation of substepping and implicit stress point algorithms
    • D.H. Potts and D. Ganendra, An evaluation of substepping and implicit stress point algorithms, Comput. Methods Appl. Mech. Engrg. 119 (1994) 341-354.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.119 , pp. 341-354
    • Potts, D.H.1    Ganendra, D.2
  • 12
    • 0022010372 scopus 로고
    • Consistent tangent operators for rate-independent elastoplasticity
    • J.C. Simo and R.L. Taylor, Consistent tangent operators for rate-independent elastoplasticity, Comput. Methods Appl. Mech. Engrg. 48 (1985) 101-118.
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.48 , pp. 101-118
    • Simo, J.C.1    Taylor, R.L.2
  • 13
    • 0022678185 scopus 로고
    • A return mapping algorithm for plane stress elastoplasticity
    • J.C. Simo and R.L. Taylor, A return mapping algorithm for plane stress elastoplasticity. Int. J. Numer. Math. Engrg. 22 (1986) 649-670.
    • (1986) Int. J. Numer. Math. Engrg. , vol.22 , pp. 649-670
    • Simo, J.C.1    Taylor, R.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.