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Volumn 28, Issue 2, 1997, Pages 83-104

On the stability of mixed finite elements in large strain analysis of incompressible solids

Author keywords

Large strains; Loss of ellipticity; Mixed finite elements

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DEFORMATION; SOLIDS; STRAIN;

EID: 0031336428     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(97)81953-1     Document Type: Article
Times cited : (66)

References (14)
  • 2
    • 0024734012 scopus 로고
    • A quadrilateral 2d finite element based on mixed interpolation of tensorial components
    • E.N. Dvorkin, S.I. Vasolo, A quadrilateral 2d finite element based on mixed interpolation of tensorial components, Eng. Comput. 6 (1989) 217-224.
    • (1989) Eng. Comput. , vol.6 , pp. 217-224
    • Dvorkin, E.N.1    Vasolo, S.I.2
  • 3
    • 0021497441 scopus 로고
    • Rational approach for assumed stress finite elements
    • T.H.H. Pian, K. Sumihara, Rational approach for assumed stress finite elements, Int. J. Num. Methods Eng. 20 (1984) 1685-1695.
    • (1984) Int. J. Num. Methods Eng. , vol.20 , pp. 1685-1695
    • Pian, T.H.H.1    Sumihara, K.2
  • 5
    • 0025449315 scopus 로고
    • A class of mixed assumed strain methods and the method of incompatible modes
    • J.C. Simo, M.S. Rifai, A class of mixed assumed strain methods and the method of incompatible modes, Int. J. Numer. Methods Eng. 29 (1990) 1595-1638.
    • (1990) Int. J. Numer. Methods Eng. , vol.29 , pp. 1595-1638
    • Simo, J.C.1    Rifai, M.S.2
  • 6
    • 0001698995 scopus 로고
    • A four-node quadrilateral mixed-interpolated element for solids and fluids, Math
    • D. Pantuso, K.J. Bathe, A four-node quadrilateral mixed-interpolated element for solids and fluids, Math. Models Methods Appl. Sci. 5 (1995) 1113-1128.
    • (1995) Models Methods Appl. Sci. , vol.5 , pp. 1113-1128
    • Pantuso, D.1    Bathe, K.J.2
  • 8
    • 0026191397 scopus 로고
    • Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear analysis
    • T. Belytschko, L.P. Bindeman, Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear analysis, Comput. Methods Appl. Mech. Eng. 88 (1991) 311-340.
    • (1991) Comput. Methods Appl. Mech. Eng. , vol.88 , pp. 311-340
    • Belytschko, T.1    Bindeman, L.P.2
  • 9
    • 84989405949 scopus 로고
    • Remarks on the stability of enhanced strain elements in finite elasticity and elastoplasticity
    • E.A. De Souza Neto, D. Perić, G.C. Huang, D.R.J. Owen, Remarks on the stability of enhanced strain elements in finite elasticity and elastoplasticity, Commun. Numer. Methods Eng. 11 (1995) 951-961.
    • (1995) Commun. Numer. Methods Eng. , vol.11 , pp. 951-961
    • De Souza Neto, E.A.1    Perić, D.2    Huang, G.C.3    Owen, D.R.J.4
  • 10
    • 0030243101 scopus 로고    scopus 로고
    • A note on enhanced strain methods for large deformations
    • P. Wriggers, S. Reese, A note on enhanced strain methods for large deformations, Comput. Methods Appl. Mech. Eng. 135 (1996) 201-209.
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.135 , pp. 201-209
    • Wriggers, P.1    Reese, S.2
  • 11
    • 0029545337 scopus 로고
    • Enhanced lower-order element formulations for large strains
    • M.A. Crisfield, G.F. Moita, G. Jelenić, L.P.R. Lyons, Enhanced lower-order element formulations for large strains, Comput. Mech. 17 (1-2) (1995) 62-73.
    • (1995) Comput. Mech. , vol.17 , Issue.1-2 , pp. 62-73
    • Crisfield, M.A.1    Moita, G.F.2    Jelenić, G.3    Lyons, L.P.R.4
  • 12
    • 0023170746 scopus 로고
    • A finite element formulation for nonlinear incompressible elastic and inelastic analysis
    • T. Sussman, K.J. Bathe, A finite element formulation for nonlinear incompressible elastic and inelastic analysis, Comput. Struct. 26 (1987) 357-409.
    • (1987) Comput. Struct. , vol.26 , pp. 357-409
    • Sussman, T.1    Bathe, K.J.2
  • 13
    • 0026867998 scopus 로고
    • Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
    • J.C. Simo, F. Armero, Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes, Int. J. Numer. Methods Eng. 33 (1992) 1413-1449.
    • (1992) Int. J. Numer. Methods Eng. , vol.33 , pp. 1413-1449
    • Simo, J.C.1    Armero, F.2
  • 14
    • 0025495043 scopus 로고
    • A discourse on the stability conditions for mixed finite element formulations
    • F. Brezzi, K.J. Bathe, A discourse on the stability conditions for mixed finite element formulations, Comput. Methods Appl. Mech Eng. 82 (1990) 27-57.
    • (1990) Comput. Methods Appl. Mech Eng. , vol.82 , pp. 27-57
    • Brezzi, F.1    Bathe, K.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.