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Volumn 10, Issue , 2001, Pages 215-250

Some new results and current challenges in the finite element analysis of shells

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EID: 85095810739     PISSN: 09624929     EISSN: 14740508     Source Type: Journal    
DOI: 10.1017/S0962492901000034     Document Type: Article
Times cited : (9)

References (54)
  • 1
    • 0014808651 scopus 로고
    • Analysis of thick and thin shell structures by curved finite elements
    • S. Ahmad, B. M. Irons and O. C. Zienkiewicz (1970), 'Analysis of thick and thin shell structures by curved finite elements', Internat. J. Numer. Methods Eng. 2, 419-451.
    • (1970) Internat. J. Numer. Methods Eng. , vol.2 , pp. 419-451
    • Ahmad, S.1    Irons, B.M.2    Zienkiewicz, O.C.3
  • 2
    • 0039057564 scopus 로고
    • Approximation de coques élastiques minces par facettes plane: Phénomènes de blocage membranaire
    • J. L. Akian and E. Sanchez-Palencia (1992), 'Approximation de coques élastiques minces par facettes plane: Phénomènes de blocage membranaire', C. R. Acad. Sci. Paris, Sér. I 315, 363-369.
    • (1992) C. R. Acad. Sci. Paris, Sér. I , vol.315 , pp. 363-369
    • Akian, J.L.1    Sanchez-Palencia, E.2
  • 3
    • 0001567209 scopus 로고
    • Discretization by finite elements of a model parameter dependent problem
    • D. N. Arnold (1981), 'Discretization by finite elements of a model parameter dependent problem', Numer. Math. 37, 405-421.
    • (1981) Numer. Math. , vol.37 , pp. 405-421
    • Arnold, D.N.1
  • 4
    • 0031540408 scopus 로고    scopus 로고
    • Locking-free finite element methods for shells
    • D. N. Arnold and F. Brezzi (1997), 'Locking-free finite element methods for shells', Math. Comp. 66, 1-14.
    • (1997) Math. Comp. , vol.66 , pp. 1-14
    • Arnold, D.N.1    Brezzi, F.2
  • 5
    • 0030528253 scopus 로고    scopus 로고
    • Asymptotic analysis of the boundary layer for the Reissner-Mindlin plate model
    • D. N. Arnold and R. S. Falk (1996), 'Asymptotic analysis of the boundary layer for the Reissner-Mindlin plate model', SIAM J. Math. Anal. 27, 486-514.
    • (1996) Siam J. Math. Anal. , vol.27 , pp. 486-514
    • Arnold, D.N.1    Falk, R.S.2
  • 7
    • 0010606838 scopus 로고
    • A consistent shell theory for finite deformations
    • Y. Başar and W. B. Krätzig (1989), ' A consistent shell theory for finite deformations', Acta Mech. 76, 73-87.
    • (1989) Acta Mech. , vol.76 , pp. 73-87
    • Başar, Y.1    Krätzig, W.B.2
  • 10
    • 0022680557 scopus 로고
    • A formulation of general shell elements: The use of mixed interpolation of tensorial components
    • K. J. Bathe and E. N. Dvorkin (1986), 'A formulation of general shell elements: The use of mixed interpolation of tensorial components', Internat. J. Numer. Methods Eng. 22, 697-722.
    • (1986) Internat. J. Numer. Methods Eng. , vol.22 , pp. 697-722
    • Bathe, K.J.1    Dvorkin, E.N.2
  • 14
    • 0002386936 scopus 로고
    • Sur l'ellipticité du modèle linéaire de coques de W. T. Koiter
    • (R. Glowinski and J. L. Lions, eds), Vol. 134 of Lecture Notes in Economics and Mathematical Systems, Springer, Heidelberg
    • M. Bernadou and P. G. Ciarlet (1976), Sur l'ellipticité du modèle linéaire de coques de W. T. Koiter, in Computing Methods in Applied Sciences and Engineering (R. Glowinski and J. L. Lions, eds), Vol. 134 of Lecture Notes in Economics and Mathematical Systems, Springer, Heidelberg, pp. 89-136.
    • (1976) Computing Methods in Applied Sciences and Engineering , pp. 89-136
    • Bernadou, M.1    Ciarlet, P.G.2
  • 15
    • 0042495209 scopus 로고
    • Approximation of a circular cylindrical shell by Clough-Johnson flat plate finite elements
    • M. Bernadou, Y. Ducatel and P. Trouvé (1988), 'Approximation of a circular cylindrical shell by Clough-Johnson flat plate finite elements', Numer. Math. 52, 187-217.
    • (1988) Numer. Math. , vol.52 , pp. 187-217
    • Bernadou, M.1    Ducatel, Y.2    Trouvé, P.3
  • 16
    • 0028371093 scopus 로고
    • Existence theorems for two-dimensional linear shell theories
    • M. Bernadou, P. G. Ciarlet and B. Miara (1994), 'Existence theorems for two-dimensional linear shell theories', J. Elasticity 34, 111-138.
    • (1994) J. Elasticity , vol.34 , pp. 111-138
    • Bernadou, M.1    Ciarlet, P.G.2    Miara, B.3
  • 17
    • 0031363025 scopus 로고    scopus 로고
    • Shear deformable shell elements for large strains and rotations
    • M. Bischoff and E. Ramm (1997), 'Shear deformable shell elements for large strains and rotations', Internat. J. Numer. Methods Eng. 40, 4427-4449.
    • (1997) Internat. J. Numer. Methods Eng. , vol.40 , pp. 4427-4449
    • Bischoff, M.1    Ramm, E.2
  • 18
    • 0002625739 scopus 로고    scopus 로고
    • Sur la classification des coques linéairement élastiques'
    • A. Blouza, F. Brezzi and C. Lovadina (1999), 'Sur la classification des coques linéairement élastiques', C. R. Acad. Sci. Paris, Sér. I 328, 831-836.
    • (1999) C. R. Acad. Sci. Paris, Sér. I , vol.328 , pp. 831-836
    • Blouza, A.1    Brezzi, F.2    Lovadina, C.3
  • 19
    • 0039990632 scopus 로고    scopus 로고
    • A locking-free finite element method for Naghdi shells
    • J. Bramble and T. Sun (1997), 'A locking-free finite element method for Naghdi shells', J. Comput. Appl. Math. 89, 119-133.
    • (1997) J. Comput. Appl. Math. , vol.89 , pp. 119-133
    • Bramble, J.1    Sun, T.2
  • 23
    • 0031628614 scopus 로고    scopus 로고
    • Fundamental considerations for the finite element analysis of shell structures
    • D. Chapelle and K. J. Bathe (1998), 'Fundamental considerations for the finite element analysis of shell structures', Comput. Structures 66, 19-36.
    • (1998) Comput. Structures , vol.66 , pp. 19-36
    • Chapelle, D.1    Bathe, K.J.2
  • 24
    • 0034186941 scopus 로고    scopus 로고
    • The mathematical shell model underlying general shell elements
    • D. Chapelle and K. J. Bathe (2000), 'The mathematical shell model underlying general shell elements', Internat. J. Numer. Methods Eng. 48, 289-313.
    • (2000) Internat. J. Numer. Methods Eng. , vol.48 , pp. 289-313
    • Chapelle, D.1    Bathe, K.J.2
  • 26
    • 0002981522 scopus 로고    scopus 로고
    • Stabilized finite element formulations for shells in a bending dominated state
    • D. Chapelle and R. Stenberg (1998), 'Stabilized finite element formulations for shells in a bending dominated state', SIAM J. Numer. Anal. 36, 32-73.
    • (1998) Siam J. Numer. Anal. , vol.36 , pp. 32-73
    • Chapelle, D.1    Stenberg, R.2
  • 27
    • 84951605039 scopus 로고
    • On the locking phenomenon for a class of elliptic problems
    • D. Chenais and J. C. Paumier (1994), 'On the locking phenomenon for a class of elliptic problems', Numer. Math. 67, 427-440.
    • (1994) Numer. Math. , vol.67 , pp. 427-440
    • Chenais, D.1    Paumier, J.C.2
  • 28
    • 0033340146 scopus 로고    scopus 로고
    • Computations on thin non-inhibited hyperbolic elastic shells: Benchmarks for membrane locking
    • D. Chöi (1999), 'Computations on thin non-inhibited hyperbolic elastic shells: Benchmarks for membrane locking', Math. Meth. Appl. Sci. 22, 1293-1321.
    • (1999) Math. Meth. Appl. Sci. , vol.22 , pp. 1293-1321
    • Chöi, D.1
  • 32
    • 0009725491 scopus 로고    scopus 로고
    • Mathematical modelling of linearly elastic shells
    • Cambridge University Press
    • P. G. Ciarlet (2001), 'Mathematical modelling of linearly elastic shells', in Acta Numerica, Vol. 10, Cambridge University Press, pp. 103-214.
    • (2001) Acta Numerica , vol.10 , pp. 103-214
    • Ciarlet, P.G.1
  • 33
    • 0033903978 scopus 로고    scopus 로고
    • Boundary layer realization in thin elastic 3D domains and 2D hierarchic plate models
    • M. Dauge and Z. Yosibash (2000), 'Boundary layer realization in thin elastic 3D domains and 2D hierarchic plate models', Internat. J. Solids Structures 37, 2443-2471.
    • (2000) Internat. J. Solids Structures , vol.37 , pp. 2443-2471
    • Dauge, M.1    Yosibash, Z.2
  • 34
    • 0001823607 scopus 로고    scopus 로고
    • Intrinsic differential geometric methods in the asymptotic analysis of linear thin shells
    • (M. Delfour, ed.), CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI
    • M. Delfour (1998), Intrinsic differential geometric methods in the asymptotic analysis of linear thin shells, in Boundaries, Interfaces and Transitions (M. Delfour, ed.), CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI, pp. 19-90.
    • (1998) Boundaries, Interfaces and Transitions , pp. 19-90
    • Delfour, M.1
  • 35
    • 0025701139 scopus 로고
    • Specifications of boundary conditions for Reissner/Mindlin plate bending finite elements
    • B. Häggblad and K. J. Bathe (1990), 'Specifications of boundary conditions for Reissner/Mindlin plate bending finite elements', Internat. J. Numer. Methods Eng. 30, 981-1011.
    • (1990) Internat. J. Numer. Methods Eng. , vol.30 , pp. 981-1011
    • Häggblad, B.1    Bathe, K.J.2
  • 36
    • 0031257086 scopus 로고    scopus 로고
    • On evaluating the inf-sup condition for plate bending elements
    • A. Iosilevich, K. J. Bathe and F. Brezzi (1997), 'On evaluating the inf-sup condition for plate bending elements', Internat. J. Numer. Methods Eng. 40, 3639-3663.
    • (1997) Internat. J. Numer. Methods Eng. , vol.40 , pp. 3639-3663
    • Iosilevich, A.1    Bathe, K.J.2    Brezzi, F.3
  • 39
    • 0000782640 scopus 로고
    • On the nonlinear theory of thin elastic shells
    • W. T. Koiter (1966), 'On the nonlinear theory of thin elastic shells', Proc. Kon. Ned. Akad. Wetensch. B69, 1-54.
    • (1966) Proc. Kon. Ned. Akad. Wetensch. , vol.B69 , pp. 1-54
    • Koiter, W.T.1
  • 41
    • 0034421235 scopus 로고    scopus 로고
    • On the connection between some linear triangular Reissner-Mindlin plate bending elements
    • M. Lyly (2000), 'On the connection between some linear triangular Reissner-Mindlin plate bending elements', Numer. Math. 85, 77-107.
    • (2000) Numer. Math. , vol.85 , pp. 77-107
    • Lyly, M.1
  • 43
    • 0034248606 scopus 로고    scopus 로고
    • A benchmark study of reduced-strain shell finite elements: Quadratic schemes
    • M. Malinen and J. Pitkäranta (2000), A benchmark study of reduced-strain shell finite elements: Quadratic schemes. Internat. J. Numer. Methods Eng. 48 1637-1671.
    • (2000) Internat. J. Numer. Methods Eng. , vol.48 , pp. 1637-1671
    • Malinen, M.1    Pitkäranta, J.2
  • 44
    • 84973010670 scopus 로고
    • Influence of rotary inertia and shear on flexural motion of isotropic elastic plates
    • R. Mindlin (1951), 'Influence of rotary inertia and shear on flexural motion of isotropic elastic plates', J. Appl. Mech. 18, 31-38.
    • (1951) J. Appl. Mech. , vol.18 , pp. 31-38
    • Mindlin, R.1
  • 45
    • 0002195780 scopus 로고
    • Foundations of elastic shell theory
    • North-Holland
    • P. M. Naghdi (1963), Foundations of elastic shell theory, in Progress in Solid Mechanics, Vol. 4, North-Holland, pp. 1-90.
    • (1963) Progress in Solid Mechanics , vol.4 , pp. 1-90
    • Naghdi, P.M.1
  • 46
    • 0001624742 scopus 로고
    • The problem of membrane locking in finite element analysis of cylindrical shells
    • J. Pitkäranta (1992), 'The problem of membrane locking in finite element analysis of cylindrical shells', Numer. Math. 61, 523-542.
    • (1992) Numer. Math. , vol.61 , pp. 523-542
    • Pitkäranta, J.1
  • 47
    • 0005496954 scopus 로고    scopus 로고
    • On the asymptotic behaviour of sensitive shells with small thickness
    • J. Pitkäranta and E. Sanchez-Palencia (1997), 'On the asymptotic behaviour of sensitive shells with small thickness', C. R. Acad. Sci. Paris, Sér. IIb 325, 127-134.
    • (1997) C. R. Acad. Sci. Paris, Sér. IIb , vol.325 , pp. 127-134
    • Pitkäranta, J.1    Sanchez-Palencia, E.2
  • 48
    • 0029515743 scopus 로고
    • Shell deformation states and the finite element method: A benchmark study of cylindrical shells
    • J. Pitkäranta, Y. Leino, O. Ovaskainen and J. Piila (1995), 'Shell deformation states and the finite element method: a benchmark study of cylindrical shells', Comput. Methods Appl. Mech. Eng. 128, 81-121.
    • (1995) Comput. Methods Appl. Mech. Eng. , vol.128 , pp. 81-121
    • Pitkäranta, J.1    Leino, Y.2    Ovaskainen, O.3    Piila, J.4
  • 50
    • 85103554891 scopus 로고
    • The effect of transverse shear deformation on the bending of elastic plates
    • E. Reissner (1945), 'The effect of transverse shear deformation on the bending of elastic plates', J. Appl. Mech. 67, A69-A77.
    • (1945) J. Appl. Mech. , vol.67 , pp. A69-A77
    • Reissner, E.1
  • 52
    • 0001364829 scopus 로고
    • Statique et dynamique des coques minces, I: Cas de flexion pure non inhibée
    • E. Sanchez-Palencia (1989a), 'Statique et dynamique des coques minces, I: Cas de flexion pure non inhibée', C. R. Acad. Sci. Paris, Sér. I 309, 411-417.
    • (1989) C. R. Acad. Sci. Paris, Sér. I , vol.309 , pp. 411-417
    • Sanchez-Palencia, E.1
  • 53
    • 0001364828 scopus 로고
    • Statique et dynamique des coques minces, II: Cas de flexion pure inhibée: Approximation membranaire
    • E. Sanchez-Palencia (1989b), 'Statique et dynamique des coques minces, II: Cas de flexion pure inhibée: Approximation membranaire', C. R. Acad. Sci. Paris, Sér. I 309, 531-537.
    • (1989) C. R. Acad. Sci. Paris, Sér. I , vol.309 , pp. 531-537
    • Sanchez-Palencia, E.1
  • 54
    • 0002354836 scopus 로고
    • Asymptotic and spectral properties of a class of singular-stiff problems
    • E. Sanchez-Palencia (1992), 'Asymptotic and spectral properties of a class of singular-stiff problems', J. Math. Pures Appl. 71, 379-406.
    • (1992) J. Math. Pures Appl. , vol.71 , pp. 379-406
    • Sanchez-Palencia, E.1


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