메뉴 건너뛰기




Volumn 86, Issue 12, 2011, Pages 1413-1434

A 3-node flat triangular shell element with corner drilling freedoms and transverse shear correction

Author keywords

Flat shell element; Membrane element; Plate bending element; Triangle

Indexed keywords

BENCHMARK TESTS; FLAT SHELL; MEMBRANE COMPONENTS; MEMBRANE ELEMENT; MODERATELY THICK PLATE; NONCONFORMING ELEMENT; NUMERICAL EXAMPLE; PATCH TESTS; PLATE BENDING; PLATE BENDING ELEMENT; ROTATIONAL DEGREES OF FREEDOM; SHEAR-LOCKING; SHELL ELEMENT; SHELL FINITE ELEMENTS; SIMULATION PACKAGES; TRANSVERSE SHEAR; TRIANGLE; WARPAGES;

EID: 79955947892     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.3109     Document Type: Article
Times cited : (10)

References (80)
  • 2
    • 0025588367 scopus 로고
    • Advances of thin shell finite elements and some applications-version-I
    • Yang HTY, Saigal S, Liaw DG. Advances of thin shell finite elements and some applications-version-I. Computers and Structures 1990; 35:481-504.
    • (1990) Computers and Structures , vol.35 , pp. 481-504
    • Yang, H.T.Y.1    Saigal, S.2    Liaw, D.G.3
  • 3
    • 0037403142 scopus 로고    scopus 로고
    • Geometric nonlinear analysis of thin plates by a refined nonlinear non-conforming triangular plate element
    • Zhang YX, Cheung YK. Geometric nonlinear analysis of thin plates by a refined nonlinear non-conforming triangular plate element. Thin-Walled Structures 2003; 41:403-418.
    • (2003) Thin-Walled Structures , vol.41 , pp. 403-418
    • Zhang, Y.X.1    Cheung, Y.K.2
  • 4
    • 37849189104 scopus 로고    scopus 로고
    • Geometrically nonlinear analysis structures using a flat triangular element
    • Gal E, Levy R. Geometrically nonlinear analysis structures using a flat triangular element. Archives of Computational Methods in Engineering 2006; 13:331-388.
    • (2006) Archives of Computational Methods in Engineering , vol.13 , pp. 331-388
    • Gal, E.1    Levy, R.2
  • 5
    • 24144489991 scopus 로고    scopus 로고
    • Linear and geometrically nonlinear analysis of plates and shells by a new refined non-conforming triangular plate/shell element
    • Zhang YX, Kim KS. Linear and geometrically nonlinear analysis of plates and shells by a new refined non-conforming triangular plate/shell element. Computational Mechanics 2005; 36:331-342.
    • (2005) Computational Mechanics , vol.36 , pp. 331-342
    • Zhang, Y.X.1    Kim, K.S.2
  • 8
    • 0002646068 scopus 로고
    • Displacement and equilibrium models in the finite element method by B. Fraeijs de Veubeke
    • Chapter 9, Zienkiewicz OC, Holister GS (eds). Wiley: New York, International Journal for Numerical Methods in Engineering 2001; :287-289.
    • Zienkiewicz OC. Displacement and equilibrium models in the finite element method by B. Fraeijs de Veubeke. In Stress Analysis, Chapter 9, Zienkiewicz OC, Holister GS (eds). Wiley: New York, 1965; 145-197. International Journal for Numerical Methods in Engineering 2001; 52:287-289.
    • (1965) Stress Analysis , vol.52 , pp. 145-197
    • Zienkiewicz, O.C.1
  • 10
    • 79955975129 scopus 로고
    • A refined finite element analysis of thin shell structures including dynamic loadings. Ph.D. Dissertation, Department of Civil Engineering, University of California at Berkeley, Berkeley.
    • Carr AJ. A refined finite element analysis of thin shell structures including dynamic loadings. Ph.D. Dissertation, Department of Civil Engineering, University of California at Berkeley, Berkeley, 1967.
    • (1967)
    • Carr, A.J.1
  • 11
    • 0011338213 scopus 로고
    • Analysis of structural vibrations and dynamic response
    • Gallagher RH, Yamada Y, Oden JT (eds). University of Alabama Press: Hunstsville
    • Clough RW. Analysis of structural vibrations and dynamic response. In Recent Advances in Matrix Methods of Structural Analysis and Design, Gallagher RH, Yamada Y, Oden JT (eds). University of Alabama Press: Hunstsville, 1971.
    • (1971) Recent Advances in Matrix Methods of Structural Analysis and Design
    • Clough, R.W.1
  • 12
    • 0021309264 scopus 로고
    • A compatible triangular element including vertex rotations for plane elasticity analysis
    • Allman DJ. A compatible triangular element including vertex rotations for plane elasticity analysis. Computers and Structures 1984; 19:1-8.
    • (1984) Computers and Structures , vol.19 , pp. 1-8
    • Allman, D.J.1
  • 15
    • 79955977281 scopus 로고    scopus 로고
    • STAGS user manual. Lockheed Mechanics, Materials and Structures Report P032594
    • Rankin CC, Brogan FA, Loden WA, Cabiness H. STAGS user manual. Lockheed Mechanics, Materials and Structures Report P032594, 1998.
    • (1998)
    • Rankin, C.C.1    Brogan, F.A.2    Loden, W.A.3    Cabiness, H.4
  • 18
    • 0026966830 scopus 로고
    • Membrane triangles with corner drilling freedoms. II. The ANDES element
    • Felippa CA, Militello C. Membrane triangles with corner drilling freedoms. II. The ANDES element. Finite Elements in Analysis and Design 1992; 12:189-201.
    • (1992) Finite Elements in Analysis and Design , vol.12 , pp. 189-201
    • Felippa, C.A.1    Militello, C.2
  • 19
    • 0026966101 scopus 로고
    • Membrane triangles with corner drilling freedoms. III. Implementation and performance evaluation
    • Felippa CA, Alexander S. Membrane triangles with corner drilling freedoms. III. Implementation and performance evaluation. Finite Elements in Analysis and Design 1992; 12:203-239.
    • (1992) Finite Elements in Analysis and Design , vol.12 , pp. 203-239
    • Felippa, C.A.1    Alexander, S.2
  • 23
    • 0024607047 scopus 로고
    • Parametrized multifield variational principles in elasticity. II. Hybrid functionals and the free formulation
    • Felippa CA. Parametrized multifield variational principles in elasticity. II. Hybrid functionals and the free formulation. Communications in Applied Numerical Methods 1989; 5:79-88.
    • (1989) Communications in Applied Numerical Methods , vol.5 , pp. 79-88
    • Felippa, C.A.1
  • 27
    • 70349990157 scopus 로고    scopus 로고
    • A triangular six-node shell element
    • Kim DN, Bathe KJ. A triangular six-node shell element. Computers and Structures 2009; 87:1451-1460.
    • (2009) Computers and Structures , vol.87 , pp. 1451-1460
    • Kim, D.N.1    Bathe, K.J.2
  • 28
    • 34547591469 scopus 로고    scopus 로고
    • Quadrilateral membrane element family formulated by the quadrilateral area coordinate method
    • Cen S, Chen XM, Fu XR. Quadrilateral membrane element family formulated by the quadrilateral area coordinate method. Computer Methods in Applied Mechanics and Engineering 2007; 196:4337-4353.
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , pp. 4337-4353
    • Cen, S.1    Chen, X.M.2    Fu, X.R.3
  • 29
    • 60949102356 scopus 로고    scopus 로고
    • Quadrilateral membrane elements with analytical element stiffness matrices formulated by the new quadrilateral area coordinate method (QACM-II)
    • Cen S, Chen XM, Li CF, Fu XR. Quadrilateral membrane elements with analytical element stiffness matrices formulated by the new quadrilateral area coordinate method (QACM-II). International Journal for Numerical Methods in Engineering 2009; 77:1172-1200.
    • (2009) International Journal for Numerical Methods in Engineering , vol.77 , pp. 1172-1200
    • Cen, S.1    Chen, X.M.2    Li, C.F.3    Fu, X.R.4
  • 30
    • 37249019066 scopus 로고    scopus 로고
    • The analytical element stiffness matrix of a recent 4-node membrane element formulated by the quadrilateral area co-ordinate method
    • Cen S, Du Y, Chen XM, Fu XR. The analytical element stiffness matrix of a recent 4-node membrane element formulated by the quadrilateral area co-ordinate method. Communications in Numerical Methods in Engineering 2007; 23:1095-1110.
    • (2007) Communications in Numerical Methods in Engineering , vol.23 , pp. 1095-1110
    • Cen, S.1    Du, Y.2    Chen, X.M.3    Fu, X.R.4
  • 31
    • 34548226897 scopus 로고    scopus 로고
    • One point quadrature shell elements: a study on convergence and patch tests
    • Cardoso RPR, Yoon JW. One point quadrature shell elements: a study on convergence and patch tests. Computational Mechanics 2007; 40:871-883.
    • (2007) Computational Mechanics , vol.40 , pp. 871-883
    • Cardoso, R.P.R.1    Yoon, J.W.2
  • 32
    • 33645465735 scopus 로고    scopus 로고
    • A new approach to reduce membrane and transverse shear locking for one-point quadrature shell elements: linear formulation
    • Cardoso RPR, Yoon JW, Valente RAF. A new approach to reduce membrane and transverse shear locking for one-point quadrature shell elements: linear formulation. International Journal for Numerical Methods in Engineering 2006; 66:214-249.
    • (2006) International Journal for Numerical Methods in Engineering , vol.66 , pp. 214-249
    • Cardoso, R.P.R.1    Yoon, J.W.2    Valente, R.A.F.3
  • 33
    • 0001843832 scopus 로고
    • Finite element stiffness matrices for analysis of plate bending. Proceedings of the First Conference on Matrix Methods in Structural Mechanics, Dayton.
    • Clough RW, Tocher JL. Finite element stiffness matrices for analysis of plate bending. Proceedings of the First Conference on Matrix Methods in Structural Mechanics, Dayton, 1966; 515-545.
    • (1966) , pp. 515-545
    • Clough, R.W.1    Tocher, J.L.2
  • 34
    • 79955947491 scopus 로고
    • Triangular elements in plate bending, conforming and non-conforming solutions. Proceedings of the First Conference on Matrix Methods in Structural Mechanics, Dayton.
    • Bazeley GP, Cheung YK, Irons BM, Zienkiewicz OC. Triangular elements in plate bending, conforming and non-conforming solutions. Proceedings of the First Conference on Matrix Methods in Structural Mechanics, Dayton, 1966; 547-576.
    • (1966) , pp. 547-576
    • Bazeley, G.P.1    Cheung, Y.K.2    Irons, B.M.3    Zienkiewicz, O.C.4
  • 36
    • 0021306982 scopus 로고
    • A review and catalogue of plate bending finite elements
    • Hrabok MM, Hrudey TH. A review and catalogue of plate bending finite elements. Computers and Structures 1984; 19:475-495.
    • (1984) Computers and Structures , vol.19 , pp. 475-495
    • Hrabok, M.M.1    Hrudey, T.H.2
  • 37
    • 0021939160 scopus 로고
    • A discrete Kirchoff plate bending element with Loof nodes
    • Meek JL, Tan HS. A discrete Kirchoff plate bending element with Loof nodes. Computers and Structures 1985; 21:1197-1212.
    • (1985) Computers and Structures , vol.21 , pp. 1197-1212
    • Meek, J.L.1    Tan, H.S.2
  • 39
    • 0027608520 scopus 로고
    • A new discrete Kirchhoff-Mindlin element based on Mindlin-Reissner plate theory and assumed shear strain fields-Part I: an extended DKT element for thick-plate bending analysis
    • Katili I. A new discrete Kirchhoff-Mindlin element based on Mindlin-Reissner plate theory and assumed shear strain fields-Part I: an extended DKT element for thick-plate bending analysis. International Journal for Numerical Methods in Engineering 1993; 36:1859-1883.
    • (1993) International Journal for Numerical Methods in Engineering , vol.36 , pp. 1859-1883
    • Katili, I.1
  • 40
    • 0035976025 scopus 로고    scopus 로고
    • Formulation and evaluation of new triangular, quadrilateral, pentagonal and hexagonal discrete Kirchhoff plate/shell elements
    • Batoz JL, Zheng CL, Hammadi F. Formulation and evaluation of new triangular, quadrilateral, pentagonal and hexagonal discrete Kirchhoff plate/shell elements. International Journal for Numerical Methods in Engineering 2001; 52:615-630.
    • (2001) International Journal for Numerical Methods in Engineering , vol.52 , pp. 615-630
    • Batoz, J.L.1    Zheng, C.L.2    Hammadi, F.3
  • 41
    • 0024620194 scopus 로고
    • A discrete shear triangular nine d.o.f. element for the analysis of thick to very thin plates
    • Batoz JL, Lardeur P. A discrete shear triangular nine d.o.f. element for the analysis of thick to very thin plates. International Journal for Numerical Methods in Engineering 1989; 28:533-560.
    • (1989) International Journal for Numerical Methods in Engineering , vol.28 , pp. 533-560
    • Batoz, J.L.1    Lardeur, P.2
  • 42
    • 0026944361 scopus 로고
    • On a simple triangular Reissner-Mindlin plate element based on incompatible modes and discrete constraints
    • Batoz JL, Katili I. On a simple triangular Reissner-Mindlin plate element based on incompatible modes and discrete constraints. International Journal for Numerical Methods in Engineering 1992; 35:1603-1632.
    • (1992) International Journal for Numerical Methods in Engineering , vol.35 , pp. 1603-1632
    • Batoz, J.L.1    Katili, I.2
  • 43
    • 0032141736 scopus 로고    scopus 로고
    • Perspective on finite elements for shell analysis
    • MacNeal RH. Perspective on finite elements for shell analysis. Finite Elements in Analysis and Design 1998; 30:175-186.
    • (1998) Finite Elements in Analysis and Design , vol.30 , pp. 175-186
    • MacNeal, R.H.1
  • 45
    • 0021304530 scopus 로고
    • Quadrilateral plate bending elements with shear deformations
    • Bergan PG, Wang X. Quadrilateral plate bending elements with shear deformations. Computers and Structures 1984; 19:25-34.
    • (1984) Computers and Structures , vol.19 , pp. 25-34
    • Bergan, P.G.1    Wang, X.2
  • 46
    • 43349096144 scopus 로고
    • Reduced and selective integration techniques in finite element analysis of plates
    • Hughes TJR, Cohen M, M. H. Reduced and selective integration techniques in finite element analysis of plates. Nuclear Engineering and Design 1978; 46:203-222.
    • (1978) Nuclear Engineering and Design , vol.46 , pp. 203-222
    • Hughes, T.J.R.1    Cohen, M.M.H.2
  • 48
    • 0019610759 scopus 로고
    • Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element
    • Hughes TJR, Tezduyar TE. Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element. Journal of Applied Mechanics-Transactions of the ASME 1981; 48:587-596.
    • (1981) Journal of Applied Mechanics-Transactions of the ASME , vol.48 , pp. 587-596
    • Hughes, T.J.R.1    Tezduyar, T.E.2
  • 49
  • 51
    • 77549086635 scopus 로고    scopus 로고
    • Combined hybrid method applied in the Reissner-Mindlin plate model
    • Hu B, Wang Z, Xu YC. Combined hybrid method applied in the Reissner-Mindlin plate model. Finite Elements in Analysis and Design 2010; 46:428-437.
    • (2010) Finite Elements in Analysis and Design , vol.46 , pp. 428-437
    • Hu, B.1    Wang, Z.2    Xu, Y.C.3
  • 53
    • 0037401609 scopus 로고    scopus 로고
    • A nonconforming element for the Reissner-Mindlin plate
    • Brezzi F, Marini LD. A nonconforming element for the Reissner-Mindlin plate. Computers and Structures 2003; 81:515-522.
    • (2003) Computers and Structures , vol.81 , pp. 515-522
    • Brezzi, F.1    Marini, L.D.2
  • 56
    • 0032050817 scopus 로고    scopus 로고
    • Refined triangular discrete Kirchhoff plate element for thin plate bending, vibration and buckling analysis
    • Chen WJ, Cheung YK. Refined triangular discrete Kirchhoff plate element for thin plate bending, vibration and buckling analysis. International Journal for Numerical Methods in Engineering 1998; 41:1507-1525.
    • (1998) International Journal for Numerical Methods in Engineering , vol.41 , pp. 1507-1525
    • Chen, W.J.1    Cheung, Y.K.2
  • 60
    • 3042766289 scopus 로고    scopus 로고
    • Refined triangular discrete Mindlin flat shell elements
    • Zengjie G, Wanji C. Refined triangular discrete Mindlin flat shell elements. Computational Mechanics 2003; 33:52-60.
    • (2003) Computational Mechanics , vol.33 , pp. 52-60
    • Zengjie, G.1    Wanji, C.2
  • 61
    • 3242778738 scopus 로고    scopus 로고
    • Refined 15-DOF triangular discrete degenerated shell element with high performances
    • Chen WJ. Refined 15-DOF triangular discrete degenerated shell element with high performances. International Journal for Numerical Methods in Engineering 2004; 60:1817-1846.
    • (2004) International Journal for Numerical Methods in Engineering , vol.60 , pp. 1817-1846
    • Chen, W.J.1
  • 62
    • 20444443103 scopus 로고    scopus 로고
    • Refined laminated composite plate element based on global-local higher-order shear deformation theory
    • Wu Z, Chen RG, Chen WJ. Refined laminated composite plate element based on global-local higher-order shear deformation theory. Composite Structures 2005; 70:135-152.
    • (2005) Composite Structures , vol.70 , pp. 135-152
    • Wu, Z.1    Chen, R.G.2    Chen, W.J.3
  • 63
    • 33846993343 scopus 로고    scopus 로고
    • Refined global-local higher-order theory and finite element for laminated plates
    • Wu Z, Chen WJ. Refined global-local higher-order theory and finite element for laminated plates. International Journal for Numerical Methods in Engineering 2007; 69:1627-1670.
    • (2007) International Journal for Numerical Methods in Engineering , vol.69 , pp. 1627-1670
    • Wu, Z.1    Chen, W.J.2
  • 64
    • 59649112829 scopus 로고    scopus 로고
    • Refined global-local higher-order theory for angle-ply laminated plates under thermo-mechanical loads and finite element model
    • Wu Z, Chen WJ, Ren XH. Refined global-local higher-order theory for angle-ply laminated plates under thermo-mechanical loads and finite element model. Composite Structures 2009; 88:643-658.
    • (2009) Composite Structures , vol.88 , pp. 643-658
    • Wu, Z.1    Chen, W.J.2    Ren, X.H.3
  • 68
    • 33750448986 scopus 로고    scopus 로고
    • An 8-node assumed stress hybrid element for analysis of shells
    • Darilmaz K, Kumbasar N. An 8-node assumed stress hybrid element for analysis of shells. Computers and Structures 2006; 84:1990-2000.
    • (2006) Computers and Structures , vol.84 , pp. 1990-2000
    • Darilmaz, K.1    Kumbasar, N.2
  • 69
    • 3142779333 scopus 로고    scopus 로고
    • The transition from thin plates to moderately thick plates by using finite element analysis and the shear locking problem
    • Ozkul TA, Ture U. The transition from thin plates to moderately thick plates by using finite element analysis and the shear locking problem. Thin-Walled Structures 2004; 42:1405-1430.
    • (2004) Thin-Walled Structures , vol.42 , pp. 1405-1430
    • Ozkul, T.A.1    Ture, U.2
  • 70
    • 0031628614 scopus 로고    scopus 로고
    • Fundamental considerations for the finite element analysis of shell structures
    • Chapelle D, Bathe KJ. Fundamental considerations for the finite element analysis of shell structures. Computers and Structures 1998; 66:19-36.
    • (1998) Computers and Structures , vol.66 , pp. 19-36
    • Chapelle, D.1    Bathe, K.J.2
  • 72
    • 0032690597 scopus 로고    scopus 로고
    • Construction of optimal 3-node plate bending elements by templates
    • Felippa CA, Militello C. Construction of optimal 3-node plate bending elements by templates. Computational Mechanics 1999; 24:1-13.
    • (1999) Computational Mechanics , vol.24 , pp. 1-13
    • Felippa, C.A.1    Militello, C.2
  • 73
    • 0037999666 scopus 로고
    • Improved two-dimensional finite element
    • Cook RD. Improved two-dimensional finite element. Journal of the Structural Division 1974; 100:1851-1863.
    • (1974) Journal of the Structural Division , vol.100 , pp. 1851-1863
    • Cook, R.D.1
  • 74
    • 0024641220 scopus 로고
    • On a stress resultant geometrically exact shell model. Part II: the linear theory-computational aspects
    • Simo JC, Fox DD, Rifai MS. On a stress resultant geometrically exact shell model. Part II: the linear theory-computational aspects. Computer Methods in Applied Mechanics and Engineering 1989; 73:53-92.
    • (1989) Computer Methods in Applied Mechanics and Engineering , vol.73 , pp. 53-92
    • Simo, J.C.1    Fox, D.D.2    Rifai, M.S.3
  • 76
    • 0034165920 scopus 로고    scopus 로고
    • A mixed-enhanced strain method. Part I: geometrically linear problems
    • Kasper EP, Taylor RL. A mixed-enhanced strain method. Part I: geometrically linear problems. Computers and Structures 2000; 75:237-250.
    • (2000) Computers and Structures , vol.75 , pp. 237-250
    • Kasper, E.P.1    Taylor, R.L.2
  • 78
    • 0029232049 scopus 로고
    • Analysis of plate and shell with a simplified three node triangular element
    • Sabourin F, Brunet M. Analysis of plate and shell with a simplified three node triangular element. Thin-Walled Structures 1995; 21:209-223.
    • (1995) Thin-Walled Structures , vol.21 , pp. 209-223
    • Sabourin, F.1    Brunet, M.2
  • 79
    • 0025838443 scopus 로고
    • An investigation of a finite rotation four node assumed strain shell element
    • Parisch H. An investigation of a finite rotation four node assumed strain shell element. International Journal for Numerical Methods in Engineering 1991; 31:127-150.
    • (1991) International Journal for Numerical Methods in Engineering , vol.31 , pp. 127-150
    • Parisch, H.1
  • 80
    • 0033304381 scopus 로고    scopus 로고
    • Prediction of shrinkage and warpage in consideration of residual stress in integrated simulation of injection molding
    • Choi DS, Im YT. Prediction of shrinkage and warpage in consideration of residual stress in integrated simulation of injection molding. Composite Structures 1999; 47:655-665.
    • (1999) Composite Structures , vol.47 , pp. 655-665
    • Choi, D.S.1    Im, Y.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.