메뉴 건너뛰기




Volumn 44, Issue 12-13, 2008, Pages 784-796

Nine-node shell elements with 6 dofs/node based on two-level approximations. Part I. Theory and linear tests

Author keywords

6 dofs node; Assumed strain; Drilling rotation; Nine node shell elements; Selective reduced integration; Two level approximation

Indexed keywords

DRILLING; INTEGRATION; LAWS AND LEGISLATION; NUMERICAL ANALYSIS; POLYNOMIAL APPROXIMATION; SAMPLING; SHELLS (STRUCTURES); TESTING;

EID: 48649095820     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2008.05.002     Document Type: Article
Times cited : (35)

References (36)
  • 1
    • 0020101847 scopus 로고
    • Membrane locking and reduced integration for curved elements
    • Stolarski H., and Belytschko T. Membrane locking and reduced integration for curved elements. J. Appl. Mech. ASME 49 (1982) 172-176
    • (1982) J. Appl. Mech. ASME , vol.49 , pp. 172-176
    • Stolarski, H.1    Belytschko, T.2
  • 2
    • 0021628137 scopus 로고
    • A nine node Lagrangian Mindlin plate element with enhanced shear interpolation
    • Huang H.C., and Hinton E. A nine node Lagrangian Mindlin plate element with enhanced shear interpolation. Eng. Comput. 1 (1984) 369-379
    • (1984) Eng. Comput. , vol.1 , pp. 369-379
    • Huang, H.C.1    Hinton, E.2
  • 4
    • 0015051922 scopus 로고
    • Reduced integration technique in general analysis of plates and shells
    • Zienkiewicz O.C., Taylor R.L., and Too J.M. Reduced integration technique in general analysis of plates and shells. Int. J. Numer. Methods Eng. 3 (1971) 275-290
    • (1971) Int. J. Numer. Methods Eng. , vol.3 , pp. 275-290
    • Zienkiewicz, O.C.1    Taylor, R.L.2    Too, J.M.3
  • 5
    • 0021478944 scopus 로고
    • A consistent control of spurious singular modes in the 9-node Lagrangian element for the Laplace and Mindlin plate equations
    • Belytschko T., Ong J.S., and Liu W.K. A consistent control of spurious singular modes in the 9-node Lagrangian element for the Laplace and Mindlin plate equations. Comput. Methods Appl. Mech. Eng. 44 (1985) 269-295
    • (1985) Comput. Methods Appl. Mech. Eng. , vol.44 , pp. 269-295
    • Belytschko, T.1    Ong, J.S.2    Liu, W.K.3
  • 6
    • 0022736020 scopus 로고
    • 0 shell element based on assumed natural-coordinate strains
    • 0 shell element based on assumed natural-coordinate strains. Trans. ASME 53 (1986) 278-290
    • (1986) Trans. ASME , vol.53 , pp. 278-290
    • Park, K.C.1    Stanley, G.M.2
  • 7
    • 0024606664 scopus 로고
    • Assumed strain stabilization procedure for the 9-node Lagrange shell element
    • Belytschko T., Wong B.L., and Stolarski H. Assumed strain stabilization procedure for the 9-node Lagrange shell element. Int. J. Numer. Methods Eng. 28 (1989) 385-414
    • (1989) Int. J. Numer. Methods Eng. , vol.28 , pp. 385-414
    • Belytschko, T.1    Wong, B.L.2    Stolarski, H.3
  • 8
    • 0023366066 scopus 로고
    • Mixed variational principles and stabilization of spurious modes in the 9-node element
    • Belytschko T., Liu W.K., and Ong J.S. Mixed variational principles and stabilization of spurious modes in the 9-node element. Comput. Methods Appl. Mech. Eng. 62 (1987) 275-292
    • (1987) Comput. Methods Appl. Mech. Eng. , vol.62 , pp. 275-292
    • Belytschko, T.1    Liu, W.K.2    Ong, J.S.3
  • 9
    • 0023565459 scopus 로고
    • An assumed covariant strain based 9-node shell element
    • Jang J., and Pinsky P.M. An assumed covariant strain based 9-node shell element. Int. J. Numer. Methods Eng. 24 (1987) 2389-2411
    • (1987) Int. J. Numer. Methods Eng. , vol.24 , pp. 2389-2411
    • Jang, J.1    Pinsky, P.M.2
  • 10
    • 0017956603 scopus 로고
    • A simple quadrilateral shell element
    • MacNeal R.H. A simple quadrilateral shell element. Comput. Struct. 8 2 (1978) 175-183
    • (1978) Comput. Struct. , vol.8 , Issue.2 , pp. 175-183
    • MacNeal, R.H.1
  • 11
    • 0019610759 scopus 로고
    • Finite elements based upon Mindlin plate theory with particular reference to the four-node isoparametric element
    • Hughes T.J.R., and Tezduyar T.E. Finite elements based upon Mindlin plate theory with particular reference to the four-node isoparametric element. J. Appl. Mech. 48 (1981) 587-596
    • (1981) J. Appl. Mech. , vol.48 , pp. 587-596
    • Hughes, T.J.R.1    Tezduyar, T.E.2
  • 12
    • 0019574221 scopus 로고
    • Derivation of element stiffness matrices by assumed strain distributions
    • MacNeal R.H. Derivation of element stiffness matrices by assumed strain distributions. Nucl. Eng. Des. 70 (1982) 3-12
    • (1982) Nucl. Eng. Des. , vol.70 , pp. 3-12
    • MacNeal, R.H.1
  • 13
    • 0021384182 scopus 로고
    • A continuum mechanics based four-node shell element for general nonlinear analysis
    • Dvorkin E.N., and Bathe K.-J. A continuum mechanics based four-node shell element for general nonlinear analysis. Eng. Comput. 1 (1984) 77-88
    • (1984) Eng. Comput. , vol.1 , pp. 77-88
    • Dvorkin, E.N.1    Bathe, K.-J.2
  • 14
    • 0022010474 scopus 로고
    • A four-node plate bending element based on Mindlin-Reissner plate theory and mixed interpolation
    • Bathe K.-J., and Dvorkin E.N. A four-node plate bending element based on Mindlin-Reissner plate theory and mixed interpolation. Int. J. Numer. Methods Eng. 21 (1985) 367-383
    • (1985) Int. J. Numer. Methods Eng. , vol.21 , pp. 367-383
    • Bathe, K.-J.1    Dvorkin, E.N.2
  • 15
    • 0022680557 scopus 로고
    • A formulation of general shell elements-the use of mixed interpolations of tensorial components
    • Bathe K.-J., and Dvorkin E.N. A formulation of general shell elements-the use of mixed interpolations 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
  • 16
    • 0022524082 scopus 로고
    • A new nine node degenerated shell element with enhanced membrane and shear interpolation
    • Huang H.C., and Hinton E. A new nine node degenerated shell element with enhanced membrane and shear interpolation. Int. J. Numer. Methods Eng. 22 (1986) 73-92
    • (1986) Int. J. Numer. Methods Eng. , vol.22 , pp. 73-92
    • Huang, H.C.1    Hinton, E.2
  • 17
  • 20
    • 0024715444 scopus 로고
    • Mixed interpolated elements for Reissner-Mindlin plate
    • Bathe K.-J., Brezzi F., and Fortin M. Mixed interpolated elements for Reissner-Mindlin plate. Int. J. Numer. Methods Eng. 28 (1989) 1787-1801
    • (1989) Int. J. Numer. Methods Eng. , vol.28 , pp. 1787-1801
    • Bathe, K.-J.1    Brezzi, F.2    Fortin, M.3
  • 21
    • 0041974548 scopus 로고    scopus 로고
    • Second order shell kinematics implied by rotation constraint equation
    • Wisniewski K., and Turska E. Second order shell kinematics implied by rotation constraint equation. J. Elasticity 67 (2002) 229-246
    • (2002) J. Elasticity , vol.67 , pp. 229-246
    • Wisniewski, K.1    Turska, E.2
  • 22
    • 0026887846 scopus 로고
    • Genuinely resultant shell finite elements accounting for geometric and material nonlinearity
    • Chroscielewski J., Makowski J., and Stumpf H. Genuinely resultant shell finite elements accounting for geometric and material nonlinearity. Int. J. Numer. Methods Eng. 35 (1992) 63-94
    • (1992) Int. J. Numer. Methods Eng. , vol.35 , pp. 63-94
    • Chroscielewski, J.1    Makowski, J.2    Stumpf, H.3
  • 23
    • 33751512072 scopus 로고    scopus 로고
    • Four-node semi-EAS element in six-field nonlinear theory of shells
    • Chroscielewski J., and Witkowski W. Four-node semi-EAS element in six-field nonlinear theory of shells. Int. J. Numer. Methods Eng. 68 (2006) 1137-1179
    • (2006) Int. J. Numer. Methods Eng. , vol.68 , pp. 1137-1179
    • Chroscielewski, J.1    Witkowski, W.2
  • 25
    • 33745954986 scopus 로고
    • Formulations of finite elasticity with independent rotations
    • Simo J.C., Fox D.D., and Hughes T.J.R. Formulations of finite elasticity with independent rotations. Int. J. Numer. Methods Eng. 95 (1992) 227-288
    • (1992) Int. J. Numer. Methods Eng. , vol.95 , pp. 227-288
    • Simo, J.C.1    Fox, D.D.2    Hughes, T.J.R.3
  • 26
    • 0034316695 scopus 로고    scopus 로고
    • Kinematics of finite rotation shells with in-plane twist parameter
    • Wisniewski K., and Turska E. Kinematics of finite rotation shells with in-plane twist parameter. Comput. Methods Appl. Mech. Eng. 190 8-10 (2000) 1117-1135
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.190 , Issue.8-10 , pp. 1117-1135
    • Wisniewski, K.1    Turska, E.2
  • 27
    • 0026867998 scopus 로고
    • Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
    • Simo J.C., and Armero F. 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
  • 28
    • 0036952156 scopus 로고    scopus 로고
    • Multi-language and multi-environment generation of nonlinear finite element codes
    • Korelc J. Multi-language and multi-environment generation of nonlinear finite element codes. Eng. Comput. 18 (2002) 312-327
    • (2002) Eng. Comput. , vol.18 , pp. 312-327
    • Korelc, J.1
  • 29
    • 48649108714 scopus 로고    scopus 로고
    • O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method. Vol. 1. Basic Formulation and Linear Problems, fourth ed., McGraw-Hill, New York, 1989.
    • O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method. Vol. 1. Basic Formulation and Linear Problems, fourth ed., McGraw-Hill, New York, 1989.
  • 31
    • 0022047205 scopus 로고
    • A proposed standard set of problems to test finite element accuracy
    • MacNeal R.H., and Harder R.L. A proposed standard set of problems to test finite element accuracy. Finite Elem. Anal. Des. 1 (1985) 3-20
    • (1985) Finite Elem. Anal. Des. , vol.1 , pp. 3-20
    • MacNeal, R.H.1    Harder, R.L.2
  • 32
    • 33745960194 scopus 로고    scopus 로고
    • Enhanced Allman quadrilateral for finite drilling rotations
    • Wisniewski K., and Turska E. Enhanced Allman quadrilateral for finite drilling rotations. Comput. Methods Appl. Mech. Eng. 195 44-47 (2006) 6086-6109
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , Issue.44-47 , pp. 6086-6109
    • Wisniewski, K.1    Turska, E.2
  • 34
    • 0037999666 scopus 로고
    • Improved two dimensional finite element
    • Cook R.D. Improved two dimensional finite element. J. Struct. Div. ASCE 100 (1976) 1851-1863
    • (1976) J. Struct. Div. ASCE , vol.100 , pp. 1851-1863
    • Cook, R.D.1
  • 35
    • 48649099145 scopus 로고    scopus 로고
    • ADINA. Ver.8.3.1.
    • ADINA. Ver.8.3.1.
  • 36
    • 48649088935 scopus 로고    scopus 로고
    • ABAQUS. Ver.6.6-2.
    • ABAQUS. Ver.6.6-2.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.