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Volumn 40, Issue 19, 1997, Pages 3639-3663

On evaluating the inf-sup condition for plate bending elements

Author keywords

Inf sup condition; Reissner Mindlin plate elements

Indexed keywords

FINITE ELEMENT METHOD; STRUCTURAL ANALYSIS;

EID: 0031257086     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19971015)40:19<3639::AID-NME232>3.0.CO;2-H     Document Type: Article
Times cited : (47)

References (19)
  • 3
    • 0022332230 scopus 로고
    • On the convergence of a four-node plate bending element based on Mindlin/Reissner plate theory and mixed interpolation
    • J. R. Whiteman (ed.), Academic Press Inc., New York
    • K. J. Bathe and F. Brezzi, 'On the convergence of a four-node plate bending element based on Mindlin/Reissner plate theory and mixed interpolation', in J. R. Whiteman (ed.), The Mathematics of Finite Elements and Applications V, Academic Press Inc., New York, 1985, pp. 491-503.
    • (1985) The Mathematics of Finite Elements and Applications , vol.5 , pp. 491-503
    • Bathe, K.J.1    Brezzi, F.2
  • 4
    • 0004684298 scopus 로고
    • A simplified analysis of two plate bending elements - The MITC4 and MITC9 elements
    • University College, Swansea, UK
    • K. J. Bathe and F. Brezzi, 'A simplified analysis of two plate bending elements - the MITC4 and MITC9 elements', Proc. Numerical Methods in Engineering: Theory and Applications, University College, Swansea, UK, 1987.
    • (1987) Proc. Numerical Methods in Engineering: Theory and Applications
    • Bathe, K.J.1    Brezzi, F.2
  • 5
    • 0024715444 scopus 로고
    • Mixed-interpolated elements for Reissner-Mindlin plates
    • F. Brezzi, K. J. Bathe and M. Fortin, 'Mixed-interpolated elements for Reissner-Mindlin plates', Int. J. Numer. Meth. Engng., 28, 1787-1801 (1989).
    • (1989) Int. J. Numer. Meth. Engng. , vol.28 , pp. 1787-1801
    • Brezzi, F.1    Bathe, K.J.2    Fortin, M.3
  • 6
    • 0024916850 scopus 로고
    • The MITC7 and MITC9 plate bending elements
    • K. J. Bathe, F. Brezzi and S. W. Cho, 'The MITC7 and MITC9 plate bending elements', Comput. Struct., 32, No. 3/4, 797-814 (1989).
    • (1989) Comput. Struct. , vol.32 , Issue.3-4 , pp. 797-814
    • Bathe, K.J.1    Brezzi, F.2    Cho, S.W.3
  • 7
    • 0025549945 scopus 로고
    • Displacement and stress convergence of our MITC plate bending elements
    • K. J. Bathe, M. L. Bucalem and F. Brezzi, 'Displacement and stress convergence of our MITC plate bending elements', Engng. Comput., 7, No. 4, 291-302 (1990).
    • (1990) Engng. Comput. , vol.7 , Issue.4 , pp. 291-302
    • Bathe, K.J.1    Bucalem, M.L.2    Brezzi, F.3
  • 8
    • 0000083083 scopus 로고
    • Error analysis of mixed-interpolated elements for Reissner-Mindlin plates
    • F. Brezzi, M. Fortin and R. Stenberg, 'Error analysis of mixed-interpolated elements for Reissner-Mindlin plates', Math. Models Meth. Appl. Sci., 1(2), 125-151 (1991).
    • (1991) Math. Models Meth. Appl. Sci. , vol.1 , Issue.2 , pp. 125-151
    • Brezzi, F.1    Fortin, M.2    Stenberg, R.3
  • 9
    • 85033171596 scopus 로고    scopus 로고
    • An hp error analysis of MITC plate elements
    • to appear
    • R. Stenberg and M. Suri, 'An hp error analysis of MITC plate elements', SIAM J. Num. Anal., to appear.
    • SIAM J. Num. Anal.
    • Stenberg, R.1    Suri, M.2
  • 10
    • 85033181844 scopus 로고    scopus 로고
    • Design principles and error analysis for reduced-shear plate-bending finite elements
    • to appear
    • J. Pitkäranta and M. Suri, 'Design principles and error analysis for reduced-shear plate-bending finite elements', Numer. Math., to appear.
    • Numer. Math.
    • Pitkäranta, J.1    Suri, M.2
  • 11
    • 0025495043 scopus 로고
    • A discourse on the stability conditions for mixed finite element formulations
    • F. Brezzi and K. J. Bathe, 'A discourse on the stability conditions for mixed finite element formulations', Comput. Meth. Appl. Mech. Engng., 82, 27-57 (1990).
    • (1990) Comput. Meth. Appl. Mech. Engng. , vol.82 , pp. 27-57
    • Brezzi, F.1    Bathe, K.J.2
  • 12
    • 0027907599 scopus 로고
    • The inf-sup test
    • D. Chapelle and K. J. Bathe, 'The inf-sup test', Comput. Struct., 47(4/5), 537-545 (1993).
    • (1993) Comput. Struct. , vol.47 , Issue.4-5 , pp. 537-545
    • Chapelle, D.1    Bathe, K.J.2
  • 14
    • 0025701139 scopus 로고
    • Specifications of boundary conditions for Reissner/Mindlin plate bending finite elements
    • B. Häggblad and K. J. Bathe, 'Specifications of boundary conditions for Reissner/Mindlin plate bending finite elements', Int. J. Numer. Meth. Engng., 30, 981-1011 (1990).
    • (1990) Int. J. Numer. Meth. Engng. , vol.30 , pp. 981-1011
    • Häggblad, B.1    Bathe, K.J.2
  • 15
    • 84968467436 scopus 로고
    • Uniform interior error estimates for the Reissner-Mindlin plate model
    • L. Gastaldi, 'Uniform interior error estimates for the Reissner-Mindlin plate model', Math. Comput., 61, 539-567 (1993).
    • (1993) Math. Comput. , vol.61 , pp. 539-567
    • Gastaldi, L.1
  • 16
    • 0021384182 scopus 로고
    • A continuum mechanics based four-node shell element for general nonlinear analysis
    • E. N. Dvorkin and K. J. Bathe, 'A continuum mechanics based four-node shell element for general nonlinear analysis', Engng. Comput., 1, 77-88 (1984).
    • (1984) Engng. Comput. , vol.1 , pp. 77-88
    • Dvorkin, E.N.1    Bathe, K.J.2
  • 17
    • 0022010474 scopus 로고
    • A four-node plate bending element based on Reissner/Mindlin plate theory and a mixed interpolation
    • K. J. Bathe and E. N. Dvorkin, 'A four-node plate bending element based on Reissner/Mindlin plate theory and a mixed interpolation', Int. J. Numer. Meth. Engng., 21, 367-383 (1985).
    • (1985) Int. J. Numer. Meth. Engng. , vol.21 , pp. 367-383
    • Bathe, K.J.1    Dvorkin, E.N.2
  • 18
    • 84968510953 scopus 로고
    • Analysis of some mixed finite element methods related to reduced integration
    • C. Johnson and J. Pitkäranta, 'Analysis of some mixed finite element methods related to reduced integration', Math. Comput., 38, 375-400 (1982).
    • (1982) Math. Comput. , vol.38 , pp. 375-400
    • Johnson, C.1    Pitkäranta, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.