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Volumn 40, Issue 11, 2004, Pages 1333-1359

Non-conventional non-linear two-node hybrid stress-strain curved beam elements

Author keywords

Finite deformations; Hybrid stress strain element; Large rigid body motions; Timoshenko beam

Indexed keywords

ALGORITHMS; DEFORMATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATRIX ALGEBRA; STIFFNESS; STRAIN; STRESS ANALYSIS;

EID: 2442494908     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2003.09.004     Document Type: Article
Times cited : (17)

References (41)
  • 1
    • 0000357867 scopus 로고
    • A solid element formulation for large deflection analysis of composite shell structures
    • Kim Y.H., Lee S.W. A solid element formulation for large deflection analysis of composite shell structures. Comput. Struct. 30:1988;269-274.
    • (1988) Comput. Struct. , vol.30 , pp. 269-274
    • Kim, Y.H.1    Lee, S.W.2
  • 2
    • 0025457448 scopus 로고
    • On a stress resultant geometrically exact shell model. Part IV. Variable thickness shells with through-the-thickness stretching
    • Simo J.C., Rifai M.S., Fox D.D. On a stress resultant geometrically exact shell model. Part IV. Variable thickness shells with through-the-thickness stretching. Comput. Methods Appl. Mech. Eng. 81:1990;91-126.
    • (1990) Comput. Methods Appl. Mech. Eng. , vol.81 , pp. 91-126
    • Simo, J.C.1    Rifai, M.S.2    Fox, D.D.3
  • 3
    • 0028749788 scopus 로고
    • Nonlinear shell formulations for complete three-dimensional constitutive laws including composites and laminates
    • Braun M., Bischoff M., Ramm E. Nonlinear shell formulations for complete three-dimensional constitutive laws including composites and laminates. Comput. Mech. 15:1994;1-18.
    • (1994) Comput. Mech. , vol.15 , pp. 1-18
    • Braun, M.1    Bischoff, M.2    Ramm, E.3
  • 4
    • 84987045177 scopus 로고
    • A continuum-based shell theory for non-linear applications
    • Parisch H. A continuum-based shell theory for non-linear applications. Int. J. Numer. Methods Eng. 38:1995;1855-1883.
    • (1995) Int. J. Numer. Methods Eng. , vol.38 , pp. 1855-1883
    • Parisch, H.1
  • 5
    • 0029484165 scopus 로고
    • An efficient assumed strain element model with six dof per node for geometrically nonlinear shells
    • Park H.C., Cho C., Lee S.W. An efficient assumed strain element model with six dof per node for geometrically nonlinear shells. Int. J. Numer. Methods Eng. 38:1995;4101-4122.
    • (1995) Int. J. Numer. Methods Eng. , vol.38 , pp. 4101-4122
    • Park, H.C.1    Cho, C.2    Lee, S.W.3
  • 6
    • 84989463351 scopus 로고
    • An assumed strain approach avoiding artificial thickness straining for a nonlinear 4-node shell element
    • Betsch P., Stein E. An assumed strain approach avoiding artificial thickness straining for a nonlinear 4-node shell element. Commun. Numer. Methods Eng. 11:1995;899-909.
    • (1995) Commun. Numer. Methods Eng. , vol.11 , pp. 899-909
    • Betsch, P.1    Stein, E.2
  • 7
    • 0030102317 scopus 로고    scopus 로고
    • A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains
    • Betsch P., Gruttmann F., Stein E. A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains. Comput. Methods Appl. Mech. Eng. 130:1996;57-79.
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.130 , pp. 57-79
    • Betsch, P.1    Gruttmann, F.2    Stein, E.3
  • 8
    • 0032070799 scopus 로고    scopus 로고
    • A systematic development of 'solid-shell' element formulations for linear and non-linear analyses employing only displacement degrees of freedom
    • Hauptmann R., Schweizerhof K. A systematic development of 'solid-shell' element formulations for linear and non-linear analyses employing only displacement degrees of freedom. Int. J. Numer. Methods Eng. 42:1998;49-69.
    • (1998) Int. J. Numer. Methods Eng. , vol.42 , pp. 49-69
    • Hauptmann, R.1    Schweizerhof, K.2
  • 9
    • 0032207517 scopus 로고    scopus 로고
    • A four-node solid shell element formulation with assumed strain
    • Kemp B.L., Cho C., Lee S.W. A four-node solid shell element formulation with assumed strain. Int. J. Numer. Methods Eng. 43:1998;909-924.
    • (1998) Int. J. Numer. Methods Eng. , vol.43 , pp. 909-924
    • Kemp, B.L.1    Cho, C.2    Lee, S.W.3
  • 10
    • 0345237265 scopus 로고    scopus 로고
    • A continuum based three-dimensional shell element for laminated structures
    • Klinkel S., Gruttmann F., Wagner W. A continuum based three-dimensional shell element for laminated structures. Comput. Struct. 71:1999;43-62.
    • (1999) Comput. Struct. , vol.71 , pp. 43-62
    • Klinkel, S.1    Gruttmann, F.2    Wagner, W.3
  • 11
    • 0033895449 scopus 로고    scopus 로고
    • Families of 4-node and 9-node finite elements for a finite deformation shell theory. An assessment of hybrid stress, hybrid strain and enhanced strain elements
    • Sansour C., Kollmann F.G. Families of 4-node and 9-node finite elements for a finite deformation shell theory. An assessment of hybrid stress, hybrid strain and enhanced strain elements. Comput. Mech. 24:2000;435-447.
    • (2000) Comput. Mech. , vol.24 , pp. 435-447
    • Sansour, C.1    Kollmann, F.G.2
  • 12
    • 0037197587 scopus 로고    scopus 로고
    • Hybrid-stress solid elements for shell structures based upon a modified variational functional
    • Sze K.Y., Lo S.H., Yao L.Q. Hybrid-stress solid elements for shell structures based upon a modified variational functional. Int. J. Numer. Methods Eng. 53:2002;2617-2642.
    • (2002) Int. J. Numer. Methods Eng. , vol.53 , pp. 2617-2642
    • Sze, K.Y.1    Lo, S.H.2    Yao, L.Q.3
  • 13
    • 0037058307 scopus 로고    scopus 로고
    • An eight-node hybrid-stress solid-shell element for geometric non-linear analysis of elastic shells
    • Sze K.Y., Chan W.K., Pian T.H.H. An eight-node hybrid-stress solid-shell element for geometric non-linear analysis of elastic shells. Int. J. Numer. Methods Eng. 55:2002;853-878.
    • (2002) Int. J. Numer. Methods Eng. , vol.55 , pp. 853-878
    • Sze, K.Y.1    Chan, W.K.2    Pian, T.H.H.3
  • 14
    • 0014808651 scopus 로고
    • Analysis of thick and thin shell structures by curved shell elements
    • Ahmad S., Irons B.M., Zienkiewicz O.C. Analysis of thick and thin shell structures by curved shell elements. Int. J. Numer. Methods Eng. 2:1970;419-451.
    • (1970) Int. J. Numer. Methods Eng. , vol.2 , pp. 419-451
    • Ahmad, S.1    Irons, B.M.2    Zienkiewicz, O.C.3
  • 15
    • 2442552227 scopus 로고    scopus 로고
    • Three-dimensional continuum finite element models for plate/shell analysis
    • Sze K.Y. Three-dimensional continuum finite element models for plate/shell analysis. Prog. Struct. Eng. Mater. 4:2002;400-407.
    • (2002) Prog. Struct. Eng. Mater. , vol.4 , pp. 400-407
    • Sze, K.Y.1
  • 16
    • 0033236391 scopus 로고    scopus 로고
    • Comparative analysis of two algorithms for numerical solution of nonlinear static problems for multilayered anisotropic shells of revolution. 2. Account of transverse compression
    • Kulikov G.M., Plotnikova S.V. Comparative analysis of two algorithms for numerical solution of nonlinear static problems for multilayered anisotropic shells of revolution. 2. Account of transverse compression. Mech. Compos. Mater. 35:1999;293-300.
    • (1999) Mech. Compos. Mater. , vol.35 , pp. 293-300
    • Kulikov, G.M.1    Plotnikova, S.V.2
  • 17
    • 0000737959 scopus 로고    scopus 로고
    • Finite element formulation of straight composite beams undergoing finite rotations
    • Kulikov G.M., Plotnikova S.V. Finite element formulation of straight composite beams undergoing finite rotations. Trans. Tambov State Tech. Univ. 7:2001;617-633.
    • (2001) Trans. Tambov State Tech. Univ. , vol.7 , pp. 617-633
    • Kulikov, G.M.1    Plotnikova, S.V.2
  • 18
    • 0036937491 scopus 로고    scopus 로고
    • Investigation of locally loaded multilayered shells by a mixed finite-element method. 2. Geometrically nonlinear statement
    • Kulikov G.M., Plotnikova S.V. Investigation of locally loaded multilayered shells by a mixed finite-element method. 2. Geometrically nonlinear statement. Mech. Compos. Mater. 38:2002;539-546.
    • (2002) Mech. Compos. Mater. , vol.38 , pp. 539-546
    • Kulikov, G.M.1    Plotnikova, S.V.2
  • 19
    • 0037436203 scopus 로고    scopus 로고
    • Non-linear strain-displacement equations exactly representing large rigid-body motions. Part I. Timoshenko-Mindlin shell theory
    • Kulikov G.M., Plotnikova S.V. Non-linear strain-displacement equations exactly representing large rigid-body motions. Part I. Timoshenko-Mindlin shell theory. Comput. Methods Appl. Mech. Eng. 192:2003;851-875.
    • (2003) Comput. Methods Appl. Mech. Eng. , vol.192 , pp. 851-875
    • Kulikov, G.M.1    Plotnikova, S.V.2
  • 20
    • 0344308469 scopus 로고    scopus 로고
    • Finite deformation plate theory and large rigid-body motions
    • Kulikov G.M., Plotnikova S.V. Finite deformation plate theory and large rigid-body motions. Int. J. Non-Linear Mech. 39:2004;1093-1109.
    • (2004) Int. J. Non-linear Mech. , vol.39 , pp. 1093-1109
    • Kulikov, G.M.1    Plotnikova, S.V.2
  • 21
    • 0020101846 scopus 로고
    • A simple and efficient approximation of shells via finite quadrilateral elements
    • Wempner G., Talaslidis D., Hwang C.M. A simple and efficient approximation of shells via finite quadrilateral elements. J. Appl. Mech. 49:1982;115-120.
    • (1982) J. Appl. Mech. , vol.49 , pp. 115-120
    • Wempner, G.1    Talaslidis, D.2    Hwang, C.M.3
  • 22
    • 0031140594 scopus 로고    scopus 로고
    • An explicit hybrid stabilized eighteen-node solid element for thin shell analysis
    • Sze K.Y., Yi S., Tay M.H. An explicit hybrid stabilized eighteen-node solid element for thin shell analysis. Int. J. Numer. Methods Eng. 40:1997;1839-1856.
    • (1997) Int. J. Numer. Methods Eng. , vol.40 , pp. 1839-1856
    • Sze, K.Y.1    Yi, S.2    Tay, M.H.3
  • 23
    • 0035872689 scopus 로고    scopus 로고
    • Analysis of initially stressed multilayered shells
    • Kulikov G.M. Analysis of initially stressed multilayered shells. Int. J. Solids Struct. 38:2001;4535-4555.
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 4535-4555
    • Kulikov, G.M.1
  • 24
    • 0035285513 scopus 로고    scopus 로고
    • Non-linear analysis of multilayered shells under initial stress
    • Kulikov G.M. Non-linear analysis of multilayered shells under initial stress. Int. J. Non-Linear Mech. 36:2001;323-334.
    • (2001) Int. J. Non-linear Mech. , vol.36 , pp. 323-334
    • Kulikov, G.M.1
  • 27
    • 0037016625 scopus 로고    scopus 로고
    • Simple and effective elements based upon Timoshenko-Mindlin shell theory
    • Kulikov G.M., Plotnikova S.V. Simple and effective elements based upon Timoshenko-Mindlin shell theory. Comput. Methods Appl. Mech. Eng. 191:2002;1173-1187.
    • (2002) Comput. Methods Appl. Mech. Eng. , vol.191 , pp. 1173-1187
    • Kulikov, G.M.1    Plotnikova, S.V.2
  • 28
    • 0019610759 scopus 로고
    • Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element
    • Hughes T.J.R., Tezduyar T.E. Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear 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
  • 29
    • 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. Design. 70:1982;3-12.
    • (1982) Nucl. Eng. Design , vol.70 , pp. 3-12
    • Macneal, R.H.1
  • 30
    • 0022680557 scopus 로고
    • A formulation of general shell elements - The use of mixed interpolation of tensorial components
    • Bathe K.J., 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
  • 31
    • 0017916002 scopus 로고
    • Improvement of plate and shell finite element by mixed formulations
    • Lee S.W., Pian T.H.H. Improvement of plate and shell finite element by mixed formulations. AIAA J. 16:1978;29-34.
    • (1978) AIAA J. , vol.16 , pp. 29-34
    • Lee, S.W.1    Pian, T.H.H.2
  • 32
    • 0030383127 scopus 로고    scopus 로고
    • On the assumed strain formulation for geometrically nonlinear analysis
    • Cho C., Lee S.W. On the assumed strain formulation for geometrically nonlinear analysis. Finite Elements Anal. Design. 24:1996;31-47.
    • (1996) Finite Elements Anal. Design , vol.24 , pp. 31-47
    • Cho, C.1    Lee, S.W.2
  • 33
    • 0027702469 scopus 로고
    • A three-dimensional non-linear Timoshenko beam based on the core-congruental formulation
    • Crivelli L.A., et al. A three-dimensional non-linear Timoshenko beam based on the core-congruental formulation. Int. J. Numer. Methods Eng. 36:1993;3647-3673.
    • (1993) Int. J. Numer. Methods Eng. , vol.36 , pp. 3647-3673
    • Crivelli, L.A.1
  • 34
    • 0031554580 scopus 로고    scopus 로고
    • The finite deformation theory for beam, plate and shell. Part I. The two-dimensional beam theory
    • Li M. The finite deformation theory for beam, plate and shell. Part I. The two-dimensional beam theory. Comput. Methods Appl. Mech. Eng. 146:1997;53-63.
    • (1997) Comput. Methods Appl. Mech. Eng. , vol.146 , pp. 53-63
    • Li, M.1
  • 35
    • 0034602937 scopus 로고    scopus 로고
    • The finite deformation theory for beam, plate and shell. Part IV. The FE formulation of Mindlin plate and shell based on Green-Lagrangian strain
    • Li M., Zhan F. The finite deformation theory for beam, plate and shell. Part IV. The FE formulation of Mindlin plate and shell based on Green-Lagrangian strain. Comput. Methods Appl. Mech. Eng. 182:2000;187-203.
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.182 , pp. 187-203
    • Li, M.1    Zhan, F.2
  • 36
    • 0018295243 scopus 로고
    • Large displacement analysis of three-dimensional beam structures
    • Bathe K.J., Bolourchi S. Large displacement analysis of three-dimensional beam structures. Int. J. Numer. Methods Eng. 14:1979;961-986.
    • (1979) Int. J. Numer. Methods Eng. , vol.14 , pp. 961-986
    • Bathe, K.J.1    Bolourchi, S.2
  • 37
    • 0024116484 scopus 로고
    • A beam finite element non-linear theory with finite rotation
    • Cardona A., Geradin M. A beam finite element non-linear theory with finite rotation. Int. J. Numer. Methods Eng. 26:1988;2403-2438.
    • (1988) Int. J. Numer. Methods Eng. , vol.26 , pp. 2403-2438
    • Cardona, A.1    Geradin, M.2
  • 38
    • 0025468397 scopus 로고
    • A consistent co-rotational formulation for non-linear three-dimensional beam elements
    • Crisfield M.A. A consistent co-rotational formulation for non-linear three-dimensional beam elements. Comput. Methods Appl. Mech. Eng. 81:1990;131-150.
    • (1990) Comput. Methods Appl. Mech. Eng. , vol.81 , pp. 131-150
    • Crisfield, M.A.1
  • 39
    • 0022792209 scopus 로고
    • A three-dimensional finite strain rod model. Part II. Computational aspects
    • Simo J.C., Vu-Quoc L. A three-dimensional finite strain rod model. Part II. Computational aspects. Comput. Methods Appl. Mech. Eng. 58:1986;79-116.
    • (1986) Comput. Methods Appl. Mech. Eng. , vol.58 , pp. 79-116
    • Simo, J.C.1    Vu-Quoc, L.2
  • 40
    • 0032141939 scopus 로고    scopus 로고
    • The finite deformation theory for beam, plate and shell. Part III. The three-dimensional beam theory and the FE formulation
    • Li M. The finite deformation theory for beam, plate and shell. Part III. The three-dimensional beam theory and the FE formulation. Comput. Methods Appl. Mech. Eng. 162:1998;287-300.
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.162 , pp. 287-300
    • Li, M.1
  • 41
    • 0018020886 scopus 로고
    • Nonlinear analysis of free-form shells by flat finite elements
    • Horrigmoe G., Bergan P.G. Nonlinear analysis of free-form shells by flat finite elements. Comput. Methods Appl. Mech. Eng. 16:1978;11-35.
    • (1978) Comput. Methods Appl. Mech. Eng. , vol.16 , pp. 11-35
    • Horrigmoe, G.1    Bergan, P.G.2


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