메뉴 건너뛰기




Volumn 40, Issue 5, 1997, Pages 937-951

Quadratic triangular C0 plate bending element

Author keywords

Assumed strain formulation; Finite element; Mindlin Reissner; Plate bending; Triangular

Indexed keywords

BENDING (DEFORMATION); GEOMETRY; KINEMATICS; PLATES (STRUCTURAL COMPONENTS); SHEAR DEFORMATION; STRAIN;

EID: 0031104293     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970315)40:5<937::AID-NME96>3.0.CO;2-N     Document Type: Article
Times cited : (17)

References (33)
  • 1
    • 85007692148 scopus 로고
    • Derivation of element stiffness matrices by assumed stress distributions
    • T. H. H. Pian, 'Derivation of element stiffness matrices by assumed stress distributions', AIAA J., 2, 1333-1336 (1964).
    • (1964) AIAA J. , vol.2 , pp. 1333-1336
    • Pian, T.H.H.1
  • 2
    • 0002483252 scopus 로고
    • The semi-loof shell element
    • D. G.Ashwell and R. H. Gallagher (eds.), Chapter 11, Wiley, New York
    • B. M. Irons, The semi-loof shell element', in D. G.Ashwell and R. H. Gallagher (eds.), Finite Elements for Thin Shells and Curved Members, Chapter 11, Wiley, New York, 1976, pp. 197-222.
    • (1976) Finite Elements for Thin Shells and Curved Members , pp. 197-222
    • Irons, B.M.1
  • 3
    • 0020203866 scopus 로고
    • Evaluation of a new quadrilateral thin plate bending element
    • J. L. Batoz and M. B. Tahar, 'Evaluation of a new quadrilateral thin plate bending element', Int. j. numer. methods eng., 18, 1655-1677 (1982).
    • (1982) Int. J. Numer. Methods Eng. , vol.18 , pp. 1655-1677
    • Batoz, J.L.1    Tahar, M.B.2
  • 4
    • 0022661502 scopus 로고
    • A triangular thin-shell finite element based on discrete Kirchhoff theory
    • S. S. Murthy and R. H. Gallagher, 'A triangular thin-shell finite element based on discrete Kirchhoff theory', Comput. Methods Appl. Mech. Eng., 54, 197-222 (1986).
    • (1986) Comput. Methods Appl. Mech. Eng. , vol.54 , pp. 197-222
    • Murthy, S.S.1    Gallagher, R.H.2
  • 5
    • 0024752780 scopus 로고
    • 0 plate elements based on a weak form of the Kirchhoff constraints
    • 0 plate elements based on a weak form of the Kirchhoff constraints', Int. j. numer. methods eng., 28, 2323-2338 (1989).
    • (1989) Int. J. Numer. Methods Eng. , vol.28 , pp. 2323-2338
    • Stolarski, H.K.1    Chiang, M.Y.M.2
  • 6
    • 0025665970 scopus 로고
    • Plate bending elements with discrete constraints: New triangular elements
    • O. C. Zienkiewicz, R. L. Taylor, P.Papadopoulos and E. Onate, 'Plate bending elements with discrete constraints: new triangular elements', Comput. Struct., 35, 505-522 (1990).
    • (1990) Comput. Struct. , vol.35 , pp. 505-522
    • Zienkiewicz, O.C.1    Taylor, R.L.2    Papadopoulos, P.3    Onate, E.4
  • 7
    • 0026186352 scopus 로고
    • An efficient hybrid stress quadrilateral Kirchhoff platebending element
    • K. Y. Sze and C. L. Chow, 'An efficient hybrid stress quadrilateral Kirchhoff platebending element', Int. j. numer. methods eng., 32, 149-169 (1991).
    • (1991) Int. J. Numer. Methods Eng. , vol.32 , pp. 149-169
    • Sze, K.Y.1    Chow, C.L.2
  • 8
    • 0026944361 scopus 로고
    • On a simple triangular Reissner/Mindlin plate element based on incompatible modes and discrete constraints
    • J. L. Batoz and I. Katili, 'On a simple triangular Reissner/Mindlin plate element based on incompatible modes and discrete constraints', Int. j. numer. methods eng., 35, 1603-1632 (1922).
    • (1922) Int. J. Numer. Methods Eng. , vol.35 , pp. 1603-1632
    • Batoz, J.L.1    Katili, I.2
  • 9
    • 0028375347 scopus 로고
    • An accurate shear-deformable six-node triangular plate bending element for laminated composite structures
    • J. B. Kosmatka, 'An accurate shear-deformable six-node triangular plate bending element for laminated composite structures', Int. j. numer. methods eng., 37, 431-455 (1994).
    • (1994) Int. J. Numer. Methods Eng. , vol.37 , pp. 431-455
    • Kosmatka, J.B.1
  • 12
    • 0006472808 scopus 로고
    • A note on selective and reduced integration techniques in finite element method
    • K. T. Kavanagh and S. W. Key, 'A note on selective and reduced integration techniques in finite element method', Int. j. numer. methods eng., 4, 148-150 (1972).
    • (1972) Int. J. Numer. Methods Eng. , vol.4 , pp. 148-150
    • Kavanagh, K.T.1    Key, S.W.2
  • 13
    • 0017906861 scopus 로고
    • A study of quadrilateral plate bending elements with reduced integration
    • E. D. L. Pugh, E. Hinton and O. C. Zienkiewicz, 'A study of quadrilateral plate bending elements with reduced integration', Int. j. numer. methods eng., 12, 1059-1079 (1978).
    • (1978) Int. J. Numer. Methods Eng. , vol.12 , pp. 1059-1079
    • Pugh, E.D.L.1    Hinton, E.2    Zienkiewicz, O.C.3
  • 14
    • 0026853830 scopus 로고
    • A thick-thin triangular plate element
    • Z.-N. Xu, 'A thick-thin triangular plate element', Int. j. numer. methods eng., 33, 963-973 (1992).
    • (1992) Int. J. Numer. Methods Eng. , vol.33 , pp. 963-973
    • Xu, Z.-N.1
  • 15
    • 0017984529 scopus 로고
    • Mixed finite element methods - Reduced and selective integration techniques: A unification of concepts
    • D. S. Malkus and T. J. R. Hughes, 'Mixed finite element methods - reduced and selective integration techniques: a unification of concepts', Comput. Methods Appl. Mech. Eng., 15, 63-81 (1978).
    • (1978) Comput. Methods Appl. Mech. Eng. , vol.15 , pp. 63-81
    • Malkus, D.S.1    Hughes, T.J.R.2
  • 16
    • 0017916002 scopus 로고
    • Improvement of plate and shell finite elements by mixed formulations
    • S. W. Lee and T. H. H. Pian, 'Improvement of plate and shell finite elements by mixed formulations', AIAA J., 16, 29-34 (1978).
    • (1978) AIAA J. , vol.16 , pp. 29-34
    • Lee, S.W.1    Pian, T.H.H.2
  • 17
    • 0021880029 scopus 로고
    • A six-node finite element for plate bending
    • S. W. Lee and J. C. Zhang, 'A six-node finite element for plate bending', Int. j. numer. methods eng., 21, 131-143 (1985).
    • (1985) Int. J. Numer. Methods Eng. , vol.21 , pp. 131-143
    • Lee, S.W.1    Zhang, J.C.2
  • 19
    • 0027677546 scopus 로고
    • A novel approach for devising higher order hybrid elements
    • K. Y. Sze, 'A novel approach for devising higher order hybrid elements', Int. j. numer. methods eng., 36, 3303-3316 (1993).
    • (1993) Int. J. Numer. Methods Eng. , vol.36 , pp. 3303-3316
    • Sze, K.Y.1
  • 20
    • 0028480917 scopus 로고
    • An explicit hybrid-stabilized 9-node Lagrangian shell element
    • K. Y. Sze, 'An explicit hybrid-stabilized 9-node Lagrangian shell element', Comput. Methods Appl. Mech. Eng., 117, 361-379 (1994).
    • (1994) Comput. Methods Appl. Mech. Eng. , vol.117 , pp. 361-379
    • Sze, K.Y.1
  • 21
    • 0021478944 scopus 로고
    • A consistent control of spurious single modes in the 9-node Lagrange element for the Laplace and Mindlin plate equations
    • T. Belytschko and J. S.-S. Ong, 'A consistent control of spurious single modes in the 9-node Lagrange element for the Laplace and Mindlin plate equations', Comput. Methods Appl. Mech. Eng., 44, 269-295 (1984).
    • (1984) Comput. Methods Appl. Mech. Eng. , vol.44 , pp. 269-295
    • Belytschko, T.1    Ong, J.S.-S.2
  • 22
    • 0024606664 scopus 로고
    • Assumed strain stabilization procedure for the 9-node Lagrange shell element
    • T. Belytschko and B. K. Wong, 'Assumed strain stabilization procedure for the 9-node Lagrange shell element', Int. j. numer. methods, eng., 28, 385-414 (1989).
    • (1989) Int. J. Numer. Methods, Eng. , vol.28 , pp. 385-414
    • Belytschko, T.1    Wong, B.K.2
  • 23
    • 0019610759 scopus 로고
    • Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element
    • T. J. R. Hughes and T. E. Tezduyar, 'Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element', J. Appl. Mech., 48, 587-596 (1981).
    • (1981) J. Appl. Mech. , vol.48 , pp. 587-596
    • Hughes, T.J.R.1    Tezduyar, T.E.2
  • 24
    • 0019574221 scopus 로고
    • Derivation of element stiffness matrices by assumed strain distributions
    • R. H. MacNeal, 'Derivation of element stiffness matrices by assumed strain distributions', Nucl. Eng. Des., 70, 3-12 (1982).
    • (1982) Nucl. Eng. Des. , vol.70 , pp. 3-12
    • MacNeal, R.H.1
  • 25
    • 0022010474 scopus 로고
    • A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
    • K. J. Bathe and E. N. Dvorkin, 'A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation', Int. j. numer. methods eng., 21, 367-383 (1985).
    • (1985) Int. J. Numer. Methods Eng. , vol.21 , pp. 367-383
    • Bathe, K.J.1    Dvorkin, E.N.2
  • 26
    • 0024916850 scopus 로고
    • The MITC7 and MITC9 plate bending element
    • K. J. Bathe, F. Brezzi and S. W. Cho, The MITC7 and MITC9 plate bending element', Comput. Struct., 32, 797-814 (1989).
    • (1989) Comput. Struct. , vol.32 , pp. 797-814
    • Bathe, K.J.1    Brezzi, F.2    Cho, S.W.3
  • 27
    • 85033167057 scopus 로고
    • 0 quadrilateral plate element
    • S. N. Atluri, D. E. Beskos, R. Jones and G. Yagawa (eds.), ICES Publications, Atlanta, U.S.A.
    • 0 quadrilateral plate element', in S. N. Atluri, D. E. Beskos, R. Jones and G. Yagawa (eds.), Computational Mechanics'91: Theory and Application, ICES Publications, Atlanta, U.S.A., 1991, pp. 177-182.
    • (1991) Computational Mechanics'91: Theory and Application , pp. 177-182
    • Chen, D.-P.1    Zhao, Z.2
  • 28
    • 0024012118 scopus 로고
    • A robust triangular plate bending element of the Reissner-Mindlin type
    • O. C. Zienkiewicz and D. Lefebvre, 'A robust triangular plate bending element of the Reissner-Mindlin type', Int. j. numer. methods eng., 26, 1169-1184 (1988).
    • (1988) Int. J. Numer. Methods Eng. , vol.26 , pp. 1169-1184
    • Zienkiewicz, O.C.1    Lefebvre, D.2
  • 29
    • 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. methods eno., 28, 1787-1801 (1989).
    • (1989) Int. J. Numer. Methods Eno. , vol.28 , pp. 1787-1801
    • Brezzi, F.1    Bathe, K.J.2    Fortin, M.3
  • 32
    • 0022047205 scopus 로고
    • A proposed standard set of problems to test finite element accuracy
    • R. H. MacNeal and R. L. Harder, 'A proposed standard set of problems to test finite element accuracy', Finite Elements Anal. and Des., 1, 3-20 (1985).
    • (1985) Finite Elements Anal. and Des. , vol.1 , pp. 3-20
    • MacNeal, R.H.1    Harder, R.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.