메뉴 건너뛰기




Volumn 12, Issue 11, 1996, Pages 731-743

Explicit integration of the stiffness matrix of a four-noded-plane-elasticity finite element

Author keywords

Explicit integration; Finite elements; Stiffness matrix; Symbolic manipulation

Indexed keywords

CODES (SYMBOLS); COMPUTER SIMULATION; ELASTICITY; INTEGRATION; MATHEMATICAL MODELS; STIFFNESS MATRIX;

EID: 0030285701     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(199611)12:11<731::AID-CNM9>3.0.CO;2-K     Document Type: Article
Times cited : (20)

References (30)
  • 5
    • 0017952975 scopus 로고
    • Symbolic generation of finite element stiffness matrices
    • A. R. Komcoff and S. J. Fenves, 'Symbolic generation of finite element stiffness matrices', Comput. Struct., 10, 119-124 (1979).
    • (1979) Comput. Struct. , vol.10 , pp. 119-124
    • Komcoff, A.R.1    Fenves, S.J.2
  • 6
    • 3643090535 scopus 로고
    • Finite element stiffness matrix generation via symbolic manipulation
    • C. Wellford (Ed.)
    • A. R. Korncoff, 'Finite element stiffness matrix generation via symbolic manipulation', in C. Wellford (Ed.), Proc. Symposium on Application of Comp. Meth. in Eng., Vol. II, 1977, pp. 779-785.
    • (1977) Proc. Symposium on Application of Comp. Meth. in Eng. , vol.2 , pp. 779-785
    • Korncoff, A.R.1
  • 7
    • 0017952992 scopus 로고
    • Computerized symbolic manipulation in structural mechanics: Progress and potential
    • A. K. Noor and C. M. Andersen, 'Computerized symbolic manipulation in structural mechanics: Progress and potential', Comput. Struct., 10, 95-118 (1979).
    • (1979) Comput. Struct. , vol.10 , pp. 95-118
    • Noor, A.K.1    Andersen, C.M.2
  • 8
    • 0019284593 scopus 로고
    • Computerized symbolic manipulation in non-linear finite element analysis
    • A. K. Noor and Andersen, 'Computerized symbolic manipulation in non-linear finite element analysis', Comput. Struct., 13, 379-403 (1981).
    • (1981) Comput. Struct. , vol.13 , pp. 379-403
    • Noor, A.K.1    Andersen2
  • 9
    • 84913672195 scopus 로고
    • A computerized symbolic integration technique for development of triangular and quadrilateral composite shallow shell finite elements
    • C. M. Andersen and A. K. Noor, 'A computerized symbolic integration technique for development of triangular and quadrilateral composite shallow shell finite elements', Rep. NASA TN D-8067, 1975.
    • (1975) Rep. NASA TN D-8067
    • Andersen, C.M.1    Noor, A.K.2
  • 10
    • 3643132202 scopus 로고
    • Symbolic and algebraic manipulation languages and their application in mechanics
    • Perrone & Pilkeg (Eds.), Univ. Press of Virginia, Charlottesville
    • J. Jensen and F. Niordson, 'Symbolic and algebraic manipulation languages and their application in mechanics', in Perrone & Pilkeg (Eds.), Structural Mechanics Software Series, Univ. Press of Virginia, Charlottesville, 1977.
    • (1977) Structural Mechanics Software Series
    • Jensen, J.1    Niordson, F.2
  • 11
    • 0015051922 scopus 로고
    • Reduced integration technique in general analysis of plates and shells
    • O. C. Zienkiewicz, R. L. Taylor and J. M. Too, 'Reduced integration technique in general analysis of plates and shells', Int. j. numer. methods Eng., 3, 275-290 (1971).
    • (1971) Int. J. Numer. Methods Eng. , vol.3 , pp. 275-290
    • Zienkiewicz, O.C.1    Taylor, R.L.2    Too, J.M.3
  • 12
    • 84989479580 scopus 로고
    • Comparison of symbolic and numerical integration methods for an assumed-stress hybrid shell element
    • G. Rengarajan, N. Knight and M. Aminpour, 'Comparison of symbolic and numerical integration methods for an assumed-stress hybrid shell element', Commun. numer. methods eng., 11, 307-316 (1995).
    • (1995) Commun. Numer. Methods Eng. , vol.11 , pp. 307-316
    • Rengarajan, G.1    Knight, N.2    Aminpour, M.3
  • 13
    • 0025401040 scopus 로고
    • Explicit integration for three-dimensional degenerated shell finite elements
    • S. Vlachoutsis, 'Explicit integration for three-dimensional degenerated shell finite elements', Int. j. numer. methods eng., 29, 861-880 (1990).
    • (1990) Int. J. Numer. Methods Eng. , vol.29 , pp. 861-880
    • Vlachoutsis, S.1
  • 14
    • 0022440595 scopus 로고
    • Degenerated isoparametric finite elements using explicit integration
    • R. V. Milford and W. C. Schnobrich, 'Degenerated isoparametric finite elements using explicit integration', Int. j. numer. methods eng., 23, 133-154 (1986).
    • (1986) Int. J. Numer. Methods Eng. , vol.23 , pp. 133-154
    • Milford, R.V.1    Schnobrich, W.C.2
  • 15
    • 0027578819 scopus 로고
    • Explicit thickness integration for three-dimensional shell elements applied to non-linear analysis
    • M. Mahe, J. C. Sourisseau and R. Ohayon, 'Explicit thickness integration for three-dimensional shell elements applied to non-linear analysis', Int. j. numer. methods eng., 36, 1085-1114 (1993).
    • (1993) Int. J. Numer. Methods Eng. , vol.36 , pp. 1085-1114
    • Mahe, M.1    Sourisseau, J.C.2    Ohayon, R.3
  • 16
    • 0024281663 scopus 로고
    • A program for the explicit integration of a 4-noded planar isoparametric hybrid stress element
    • M. Ledvinka, 'A program for the explicit integration of a 4-noded planar isoparametric hybrid stress element', Commun. numer. methods eng., 4(4), 573-576 (1988).
    • (1988) Commun. Numer. Methods Eng. , vol.4 , Issue.4 , pp. 573-576
    • Ledvinka, M.1
  • 17
    • 0022682898 scopus 로고
    • Explicit integration and the isoparametric arch and shell elements
    • M. A. Crisfield, 'Explicit integration and the isoparametric arch and shell elements', Commun. numer. methods eng., 2(2), 181-187 (1986).
    • (1986) Commun. Numer. Methods Eng. , vol.2 , Issue.2 , pp. 181-187
    • Crisfield, M.A.1
  • 18
    • 0040086451 scopus 로고
    • Symbolic computation of hypersingular boundary integrals
    • Kane, Maier, Tosaka and Atluri (Eds.) Springer Verlag, Berlin
    • L. J. Gray, 'Symbolic computation of hypersingular boundary integrals', in Kane, Maier, Tosaka and Atluri (Eds.) Advances in Boundary Element Techniques, Springer Verlag, Berlin, 1993.
    • (1993) Advances in Boundary Element Techniques
    • Gray, L.J.1
  • 19
    • 0027987722 scopus 로고
    • Interior point evaluation in the boundary element method
    • Z. Chen, M. Ailor and L. J. Gray, 'Interior point evaluation in the boundary element method', Eng. Anal. Bound. Elem., 13, 201-208 (1990).
    • (1990) Eng. Anal. Bound. Elem. , vol.13 , pp. 201-208
    • Chen, Z.1    Ailor, M.2    Gray, L.J.3
  • 21
    • 0025430971 scopus 로고
    • A numerical integration scheme for finite element method based on symbolic manipulation
    • G. Yagawa, G. W. Ye and S. Yoshimura, 'A numerical integration scheme for finite element method based on symbolic manipulation', Int. j. numer. methods eng., 29, 1539-1549 (1990).
    • (1990) Int. J. Numer. Methods Eng. , vol.29 , pp. 1539-1549
    • Yagawa, G.1    Ye, G.W.2    Yoshimura, S.3
  • 22
    • 0024656229 scopus 로고
    • The application of symbolic computing to the hierarchical finite element method
    • N. S. Bardell, 'The application of symbolic computing to the hierarchical finite element method', Int. j. numer. methods eng., 28, 1181-1204 (1989).
    • (1989) Int. J. Numer. Methods Eng. , vol.28 , pp. 1181-1204
    • Bardell, N.S.1
  • 23
    • 0022808370 scopus 로고
    • Some integration formulas for a four-noded isoparametric element
    • A. Mizukami A., 'Some integration formulas for a four-noded isoparametric element', Comput. Methods Appl. Mech. Eng., 59, 111-121 (1986).
    • (1986) Comput. Methods Appl. Mech. Eng. , vol.59 , pp. 111-121
    • A. Mizukami, A.1
  • 24
    • 0042469345 scopus 로고
    • Application of the symbolic mathematics system to the finite element program
    • M. Kikuchi, 'Application of the symbolic mathematics system to the finite element program', Comput. Mech., 5, 41-47 (1989).
    • (1989) Comput. Mech. , vol.5 , pp. 41-47
    • Kikuchi, M.1
  • 27
    • 84985406641 scopus 로고
    • On finite element integration in natural coordinates
    • M. A. Esenberg. and L. E. Malvern, 'On finite element integration in natural coordinates', Int. j. numer. methods Eng., 7, 574-575 (1975).
    • (1975) Int. J. Numer. Methods Eng. , vol.7 , pp. 574-575
    • Esenberg, M.A.1    Malvern, L.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.