메뉴 건너뛰기




Volumn 41, Issue 5, 2010, Pages 712-728

The quadratic MITC plate and MITC shell elements in plate bending

Author keywords

Finite element; Locking; MITC; Mixed formulation; Optimal convergence; Plate; Shell

Indexed keywords

OPTIMIZATION;

EID: 77249084072     PISSN: 09659978     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advengsoft.2009.12.011     Document Type: Article
Times cited : (75)

References (30)
  • 4
    • 0021384182 scopus 로고
    • A continuum mechanics based four-node shell element for general nonlinear analysis
    • Dvorkin E., and Bathe K.J. A continuum mechanics based four-node shell element for general nonlinear analysis. Eng Computat 1 (1984) 77-88
    • (1984) Eng Computat , vol.1 , pp. 77-88
    • Dvorkin, E.1    Bathe, K.J.2
  • 5
    • 0022680557 scopus 로고
    • A formulation of general shell elements - the use of mixed interpolation of tensorial components
    • Bathe K.J., and Dvorkin E.N. A formulation of general shell elements - the use of mixed interpolation of tensorial components. Int J Numer Methods Eng 22 (1986) 697-722
    • (1986) Int J Numer Methods Eng , vol.22 , pp. 697-722
    • Bathe, K.J.1    Dvorkin, E.N.2
  • 6
    • 0027700964 scopus 로고
    • Higher-order MITC general shell elements
    • Bucalem M.L., and Bathe K.J. Higher-order MITC general shell elements. Int J Numer Methods Eng 36 (1993) 3729-3754
    • (1993) Int J Numer Methods Eng , vol.36 , pp. 3729-3754
    • Bucalem, M.L.1    Bathe, K.J.2
  • 7
    • 0037401779 scopus 로고    scopus 로고
    • Towards improving the MITC9 shell element
    • Bathe K.J., Lee P.S., and Hiller J.F. Towards improving the MITC9 shell element. Comp Struct 81 (2003) 477-489
    • (2003) Comp Struct , vol.81 , pp. 477-489
    • Bathe, K.J.1    Lee, P.S.2    Hiller, J.F.3
  • 8
    • 2342584211 scopus 로고    scopus 로고
    • Development of MITC isotropic triangular shell finite elements
    • Lee P.S., and Bathe K.J. Development of MITC isotropic triangular shell finite elements. Comp Struct 82 (2004) 945-962
    • (2004) Comp Struct , vol.82 , pp. 945-962
    • Lee, P.S.1    Bathe, K.J.2
  • 9
    • 70349990157 scopus 로고    scopus 로고
    • A triangular six-node shell element
    • Kim D.N., and Bathe K.J. A triangular six-node shell element. Comp Struct 87 (2009) 1451-1460
    • (2009) Comp Struct , vol.87 , pp. 1451-1460
    • Kim, D.N.1    Bathe, K.J.2
  • 11
    • 10044234851 scopus 로고    scopus 로고
    • Insight into finite element shell discretizations by use of the basic shell mathematical model
    • Lee P.S., and Bathe K.J. Insight into finite element shell discretizations by use of the basic shell mathematical model. Comp Struct 83 (2005) 69-90
    • (2005) Comp Struct , vol.83 , pp. 69-90
    • Lee, P.S.1    Bathe, K.J.2
  • 12
    • 0034186941 scopus 로고    scopus 로고
    • The mathematical shell model underlying general shell elements
    • Chapelle D., and Bathe K.J. The mathematical shell model underlying general shell elements. Int J Numer Methods Eng 48 (2000) 289-313
    • (2000) Int J Numer Methods Eng , vol.48 , pp. 289-313
    • Chapelle, D.1    Bathe, K.J.2
  • 13
    • 0033884525 scopus 로고    scopus 로고
    • An inf-sup test for shell finite elements
    • Bathe K.J., Iosilevich A., and Chapelle D. An inf-sup test for shell finite elements. Comp Struct 75 (2000) 439-456
    • (2000) Comp Struct , vol.75 , pp. 439-456
    • Bathe, K.J.1    Iosilevich, A.2    Chapelle, D.3
  • 14
  • 15
    • 0031628614 scopus 로고    scopus 로고
    • Fundamental considerations for the finite element analysis of shell structures
    • 711-2
    • Chapelle D., and Bathe K.J. Fundamental considerations for the finite element analysis of shell structures. Comp Struct 66 (1998) 19-36 711-2
    • (1998) Comp Struct , vol.66 , pp. 19-36
    • Chapelle, D.1    Bathe, K.J.2
  • 16
    • 0037401591 scopus 로고    scopus 로고
    • Measuring convergence of mixed finite element discretizations: an application to shell structures
    • Hiller J.F., and Bathe K.J. Measuring convergence of mixed finite element discretizations: an application to shell structures. Comp Struct 81 (2003) 639-654
    • (2003) Comp Struct , vol.81 , pp. 639-654
    • Hiller, J.F.1    Bathe, K.J.2
  • 17
    • 33947101006 scopus 로고    scopus 로고
    • Insight into 3-node triangular shell finite elements: the effects of element isotropy and mesh patterns
    • Lee P.S., Noh H.C., and Bathe K.J. Insight into 3-node triangular shell finite elements: the effects of element isotropy and mesh patterns. Comp Struct 85 (2007) 404-418
    • (2007) Comp Struct , vol.85 , pp. 404-418
    • Lee, P.S.1    Noh, H.C.2    Bathe, K.J.3
  • 18
    • 0029515743 scopus 로고
    • Shell deformation states and the finite element method: a benchmark study of cylindrical shells
    • Pitkäranta J., Leino Y., Ovaskainen O., and Piila J. Shell deformation states and the finite element method: a benchmark study of cylindrical shells. Comp Methods Appl Mech Eng 128 (1995) 81-121
    • (1995) Comp Methods Appl Mech Eng , vol.128 , pp. 81-121
    • Pitkäranta, J.1    Leino, Y.2    Ovaskainen, O.3    Piila, J.4
  • 19
    • 0141872539 scopus 로고    scopus 로고
    • Analysis of a bi-linear finite element for shallow shells. II: consistency error
    • Havu V., and Pitkäranta J. Analysis of a bi-linear finite element for shallow shells. II: consistency error. Math Computat 72 (2003) 1635-1653
    • (2003) Math Computat , vol.72 , pp. 1635-1653
    • Havu, V.1    Pitkäranta, J.2
  • 20
  • 21
    • 0024916850 scopus 로고
    • The MITC7 and MITC9 plate bending elements
    • Bathe K.J., Brezzi F., and Cho S.W. The MITC7 and MITC9 plate bending elements. Comp Struct 32 (1989) 797-814
    • (1989) Comp Struct , vol.32 , pp. 797-814
    • Bathe, K.J.1    Brezzi, F.2    Cho, S.W.3
  • 22
    • 0024715444 scopus 로고
    • Mixed-interpolated elements for Reissner/Mindlin plates
    • Brezzi F., Bathe K.J., and Fortin M. Mixed-interpolated elements for Reissner/Mindlin plates. Int J Numer Methods Eng 28 (1989) 1787-1801
    • (1989) Int J Numer Methods Eng , vol.28 , pp. 1787-1801
    • Brezzi, F.1    Bathe, K.J.2    Fortin, M.3
  • 23
    • 0025549945 scopus 로고
    • Displacement and stress convergence of our MITC plate bending elements
    • Bathe K.J., Bucalem M.L., and Brezzi F. Displacement and stress convergence of our MITC plate bending elements. Eng Computat 7 (1990) 291-302
    • (1990) Eng Computat , vol.7 , pp. 291-302
    • Bathe, K.J.1    Bucalem, M.L.2    Brezzi, F.3
  • 24
    • 0031257086 scopus 로고    scopus 로고
    • On evaluating the inf-sup condition for plate bending elements
    • Iosilevich A., Bathe K.J., and Brezzi F. On evaluating the inf-sup condition for plate bending elements. Int J Numer Methods Eng 40 (1997) 3639-3663
    • (1997) Int J Numer Methods Eng , vol.40 , pp. 3639-3663
    • Iosilevich, A.1    Bathe, K.J.2    Brezzi, F.3
  • 26
    • 34249105611 scopus 로고    scopus 로고
    • Superconvergence and postprocessing of MITC plate elements
    • Lyly M., Niiranen J., and Stenberg R. Superconvergence and postprocessing of MITC plate elements. Comp Methods Appl Mech Eng 196 (2007) 3110-3126
    • (2007) Comp Methods Appl Mech Eng , vol.196 , pp. 3110-3126
    • Lyly, M.1    Niiranen, J.2    Stenberg, R.3
  • 28
    • 0025449315 scopus 로고
    • A class of mixed assumed strain methods and the method of incompatible modes
    • Simo J., and Rifai M.S. 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.1    Rifai, M.S.2
  • 29
    • 0031336428 scopus 로고    scopus 로고
    • On the stability of mixed finite elements in large strain analysis of incompressible solids
    • Pantuso D., and Bathe K.J. On the stability of mixed finite elements in large strain analysis of incompressible solids. Finite Elem Anal Des 28 (1997) 83-104
    • (1997) Finite Elem Anal Des , vol.28 , pp. 83-104
    • Pantuso, D.1    Bathe, K.J.2
  • 30
    • 0025701139 scopus 로고
    • Specifications of boundary conditions for Reissner/Mindlin plate bending finite elements
    • Häggblad B., and Bathe K.J. Specifications of boundary conditions for Reissner/Mindlin plate bending finite elements. Int J Numer Methods Eng 30 (1990) 981-1011
    • (1990) Int J Numer Methods Eng , vol.30 , pp. 981-1011
    • Häggblad, B.1    Bathe, K.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.