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Volumn 194, Issue 21-24 SPEC. ISS., 2005, Pages 2444-2463

The discrete strain gap method and membrane locking

Author keywords

DSG method; Membrane locking; Shell finite elements; Triangles and quadrilaterals

Indexed keywords

BEAMS AND GIRDERS; FINITE ELEMENT METHOD; PLATES (STRUCTURAL COMPONENTS); SHELLS (STRUCTURES); STRAIN;

EID: 16244401098     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.07.040     Document Type: Article
Times cited : (65)

References (29)
  • 1
    • 0027576002 scopus 로고
    • EAS-elements for two-dimensional, three-dimensional plate and shell structures and their equivalence to HR-elements
    • U. Andelfinger E. Ramm EAS-elements for two-dimensional, three-dimensional plate and shell structures and their equivalence to HR-elements Internat. J. Numer. Methods Engrg. 36 1993 1311-1337
    • (1993) Internat. J. Numer. Methods Engrg. , vol.36 , pp. 1311-1337
    • Andelfinger, U.1    Ramm, E.2
  • 2
    • 0031540408 scopus 로고    scopus 로고
    • Locking-free finite element methods for shells
    • D. Arnold F. Brezzi Locking-free finite element methods for shells Math. Comput. 66 1997 1-14
    • (1997) Math. Comput. , vol.66 , pp. 1-14
    • Arnold, D.1    Brezzi, F.2
  • 3
    • 0022010474 scopus 로고
    • A four-node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation
    • K.-J. Bathe E.N. Dvorkin A four-node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation Internat. J. Numer. Methods Engrg. 21 1985 367-383
    • (1985) Internat. J. Numer. Methods Engrg. , vol.21 , pp. 367-383
    • Bathe, K.-J.1    Dvorkin, E.N.2
  • 4
    • 0030102317 scopus 로고    scopus 로고
    • A 4-node finite shell element for the implementation of general hyperelastic 3d-elasticity at finite strains
    • P. Betsch F. Gruttmann E. Stein A 4-node finite shell element for the implementation of general hyperelastic 3d-elasticity at finite strains Comput. Methods Appl. Mech. Engrg. 130 1996 57-79
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.130 , pp. 57-79
    • Betsch, P.1    Gruttmann, F.2    Stein, E.3
  • 5
    • 0003643850 scopus 로고    scopus 로고
    • Theorie und Numerik einer dreidimensionalen Schalenformulierung
    • Ph.D. Thesis, Institut für Baustatik, Universität Stuttgart
    • M. Bischoff, Theorie und Numerik einer dreidimensionalen Schalenformulierung, Ph.D. Thesis, Institut für Baustatik, Universität Stuttgart, 1999
    • (1999)
    • Bischoff, M.1
  • 8
    • 0031363025 scopus 로고    scopus 로고
    • Shear deformable shell elements for large strains and rotations
    • M. Bischoff E. Ramm Shear deformable shell elements for large strains and rotations Internat. J. Numer. Methods Engrg. 40 1997 4427-4449
    • (1997) Internat. J. Numer. Methods Engrg. , vol.40 , pp. 4427-4449
    • Bischoff, M.1    Ramm, E.2
  • 9
    • 0034165883 scopus 로고    scopus 로고
    • A unified approach for shear-locking free triangular and rectangular shell finite elements
    • K.-U. Bletzinger M. Bischoff E. Ramm A unified approach for shear-locking free triangular and rectangular shell finite elements Comput. & Structures 75 2000 321-334
    • (2000) Comput. & Structures , vol.75 , pp. 321-334
    • Bletzinger, K.-U.1    Bischoff, M.2    Ramm, E.3
  • 10
    • 0028483483 scopus 로고
    • Three-dimensional extension of nonlinear shell formulation based on the enhanced assumed strain concept
    • N. Büchter E. Ramm D. Roehl Three-dimensional extension of nonlinear shell formulation based on the enhanced assumed strain concept Internat. J. Numer. Methods Engrg. 37 1994 2551-2568
    • (1994) Internat. J. Numer. Methods Engrg. , vol.37 , pp. 2551-2568
    • Büchter, N.1    Ramm, E.2    Roehl, D.3
  • 11
    • 8344281677 scopus 로고    scopus 로고
    • A Reissner-Mindlin shell model: Finite element formulation and sensitivity analysis
    • Master Thesis, Lehrstuhl für Statik, Technische Universität München
    • N. Camprubí, A Reissner-Mindlin shell model: Finite element formulation and sensitivity analysis, Master Thesis, Lehrstuhl für Statik, Technische Universität München, 2002
    • (2002)
    • Camprubí, N.1
  • 13
    • 0021384182 scopus 로고
    • A continuum based four-node shell element for general nonlinear analysis
    • E.N. Dvorkin K.-J. Bathe A continuum based four-node shell element for general nonlinear analysis Engrg. Comput. 1 1984 77-88
    • (1984) Engrg. Comput. , vol.1 , pp. 77-88
    • Dvorkin, E.N.1    Bathe, K.-J.2
  • 14
    • 16244408732 scopus 로고
    • Analysis of membrane locking in hp FEM for a cylindrical shell
    • K. Gerdes A. Matache C. Schwab Analysis of membrane locking in hp FEM for a cylindrical shell Z. Angew. Math. Mech. 78 1984 77-88
    • (1984) Z. Angew. Math. Mech. , vol.78 , pp. 77-88
    • Gerdes, K.1    Matache, A.2    Schwab, C.3
  • 15
    • 0022524082 scopus 로고
    • A new nine-node degenerated shell element with enhanced membrane and shear interpolation
    • H.C. Huang E. Hinton A new nine-node degenerated shell element with enhanced membrane and shear interpolation Internat. J. Numer. Methods Engrg. 22 1986 73-92
    • (1986) Internat. J. Numer. Methods Engrg. , vol.22 , pp. 73-92
    • Huang, H.C.1    Hinton, E.2
  • 16
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
    • T.J.R. Hughes Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods Comput. Methods Appl. Mech. Engrg. 127 1995 387-401
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.127 , pp. 387-401
    • Hughes, T.J.R.1
  • 17
    • 0019610759 scopus 로고
    • Finite elements based upon Mindlin plate theory with particular reference to the four-node isoparametric element
    • T.J.R. Hughes T. Tezduyar 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.2
  • 18
    • 8344271589 scopus 로고    scopus 로고
    • Avoiding membrane locking with the DSG method
    • Proceedings of WCCM V Available from:
    • F. Koschnick, M. Bischoff, K.-U. Bletzinger, Avoiding membrane locking with the DSG method, in: Proceedings of WCCM V. Available from: , 2002
    • (2002)
    • Koschnick, F.1    Bischoff, M.2    Bletzinger, K.-U.3
  • 19
    • 0039332855 scopus 로고    scopus 로고
    • Further discussion on four-node isoparametric elements in plane bending
    • N. Lautersztajn-S A. Samuelsson Further discussion on four-node isoparametric elements in plane bending Internat. J. Numer. Methods Engrg. 47 2000 129-140
    • (2000) Internat. J. Numer. Methods Engrg. , vol.47 , pp. 129-140
    • Lautersztajn-S, N.1    Samuelsson, A.2
  • 20
    • 0019574221 scopus 로고
    • Derivation of element stiffness matrices by assumed strain distribution
    • R.H. MacNeal Derivation of element stiffness matrices by assumed strain distribution Nuclear Engrg. Design 70 1982 3-12
    • (1982) Nuclear Engrg. Design , vol.70 , pp. 3-12
    • MacNeal, R.H.1
  • 21
    • 0023421899 scopus 로고
    • A theorem regarding the locking of tapered four-noded membrane elements
    • R.H. MacNeal A theorem regarding the locking of tapered four-noded membrane elements Internat. J. Numer. Methods Engrg. 24 1987 1793-1799
    • (1987) Internat. J. Numer. Methods Engrg. , vol.24 , pp. 1793-1799
    • MacNeal, R.H.1
  • 23
    • 0022736020 scopus 로고
    • 0 shell element based on assumed natural-coordinate strains
    • 0 shell element based on assumed natural-coordinate strains J. Appl. Mech. 53 1986 278-290
    • (1986) J. Appl. Mech. , vol.53 , pp. 278-290
    • Park, K.C.1    Stanley, G.M.2
  • 25
    • 0001624742 scopus 로고
    • The problem of membrane locking in finite element analysis of cylindrical shells
    • J. Pitkäranta The problem of membrane locking in finite element analysis of cylindrical shells Numer. Math. 61 1992 523-542
    • (1992) Numer. Math. , vol.61 , pp. 523-542
    • Pitkäranta, J.1
  • 26
    • 0029534418 scopus 로고
    • Higher order nonlinear shell formulations: Theory and application
    • E. Ramm M. Braun M. Bischoff Higher order nonlinear shell formulations: theory and application Bulletin of the IASS 36 1995 145-152
    • (1995) Bulletin of the IASS , vol.36 , pp. 145-152
    • Ramm, E.1    Braun, M.2    Bischoff, M.3
  • 27
    • 0025449315 scopus 로고
    • A class of mixed assumed strain methods and the method of incompatible modes
    • J.C. Simo S. Rifai A class of mixed assumed strain methods and the method of incompatible modes Internat. J. Numer. Methods Engrg. 29 1990 1595-1638
    • (1990) Internat. J. Numer. Methods Engrg. , vol.29 , pp. 1595-1638
    • Simo, J.C.1    Rifai, S.2
  • 28
    • 0034135369 scopus 로고    scopus 로고
    • On immunizing five-beta hybrid stress elements from 'trapezoidal locking' in practical analyses
    • K.Y. Sze On immunizing five-beta hybrid stress elements from 'trapezoidal locking' in practical analyses Internat. J. Numer. Methods Engrg. 47 2000 907-920
    • (2000) Internat. J. Numer. Methods Engrg. , vol.47 , pp. 907-920
    • Sze, K.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.