메뉴 건너뛰기




Volumn 80, Issue 10, 2009, Pages 1322-1355

A reduced integration solid-shell finite element based on the EAS and the ANS concept - Geometrically linear problems

Author keywords

Assumed natural strain; Enhanced assumed strain; Hourglass stabilization; Solid shell element; Taylor expansion

Indexed keywords

ASSUMED NATURAL STRAIN; ENHANCED ASSUMED STRAIN; HOURGLASS STABILIZATION; SOLID-SHELL ELEMENT; TAYLOR EXPANSION;

EID: 70449123850     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2653     Document Type: Article
Times cited : (159)

References (75)
  • 1
    • 0022010474 scopus 로고
    • A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
    • Bathe K-J, Dvorkin EN. A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. International Journal for Numerical Methods in Engineering 1985; 21:367-383.
    • (1985) International Journal for Numerical Methods in Engineering , vol.21 , pp. 367-383
    • Bathe, K.-J.1    Dvorkin, E.N.2
  • 2
    • 0026852491 scopus 로고
    • On a stress resultant geometrically exact shell model. Part V. Nonlinear plasticity: Formulation and integration algorithms
    • Simo JC, Kennedy JG. On a stress resultant geometrically exact shell model. Part V. Nonlinear plasticity: formulation and integration algorithms. Computer Methods in Applied Mechanics and Engineering 1992; 96: 133-171.
    • (1992) Computer Methods in Applied Mechanics and Engineering , vol.96 , pp. 133-171
    • Simo, J.C.1    Kennedy, J.G.2
  • 5
    • 0004123519 scopus 로고    scopus 로고
    • LS-Dyna, Livermore Software Technology Corporation (LSTC)
    • LS-Dyna. User's Manual. Livermore Software Technology Corporation (LSTC). 2007.
    • (2007) User's Manual
  • 6
    • 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. Computer Methods in Applied Mechanics and Engineering 1996; 130:57-79.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.130 , pp. 57-79
    • Betsch, P.1    Gruttmann, F.2    Stein, E.3
  • 8
    • 0036544068 scopus 로고    scopus 로고
    • Nonlinear shell problem formulation accounting for through-the-thickness stretching and its finite element implementation
    • Brank B, Korelc J, Ibrahimbegović A. Nonlinear shell problem formulation accounting for through-the-thickness stretching and its finite element implementation. Computers and Structures 2002; 80:699-717.
    • (2002) Computers and Structures , vol.80 , pp. 699-717
    • Brank, B.1    Korelc, J.2    Ibrahimbegović, A.3
  • 10
    • 30844436141 scopus 로고    scopus 로고
    • Development of a new quadratic shell element considering the normal stress in the thickness direction for simulating sheet methal forming
    • Lu H, Ito K, Kazama K, Namura S. Development of a new quadratic shell element considering the normal stress in the thickness direction for simulating sheet methal forming. Journal of Materials Processing Technology 2006; 171:341-347.
    • (2006) Journal of Materials Processing Technology , vol.171 , pp. 341-347
    • Lu, H.1    Ito, K.2    Kazama, K.3    Namura, S.4
  • 12
    • 0032025970 scopus 로고    scopus 로고
    • A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains
    • Miehe C. A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains. Computer Methods in Applied Mechanics and Engineering 1998; 155:193-233.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.155 , pp. 193-233
    • Miehe, C.1
  • 13
    • 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. International Journal for Numerical Methods in Engineering 1998; 42:49-69.
    • (1998) International Journal for Numerical Methods in Engineering , vol.42 , pp. 49-69
    • Hauptmann, R.1    Schweizerhof, K.2
  • 14
  • 15
    • 0033682999 scopus 로고    scopus 로고
    • A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Part I-solid-shell element formulation
    • Sze KY, Yao LQ. A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Part I-solid-shell element formulation. International Journal for Numerical Methods in Engineering 2000; 48:545-564.
    • (2000) International Journal for Numerical Methods in Engineering , vol.48 , pp. 545-564
    • Sze, K.Y.1    Yao, L.Q.2
  • 17
    • 0026867998 scopus 로고
    • Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
    • Simo JC, Armero F. Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. International Journal for Numerical Methods in Engineering 1992; 33:1413-1449.
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , pp. 1413-1449
    • Simo, J.C.1    Armero, F.2
  • 18
    • 0027847564 scopus 로고
    • Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
    • Simo JC, Armero F, Taylor RL. Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems. Computer Methods in Applied Mechanics and Engineering 1993; 110:359-386.
    • (1993) Computer Methods in Applied Mechanics and Engineering , vol.110 , pp. 359-386
    • Simo, J.C.1    Armero, F.2    Taylor, R.L.3
  • 19
    • 0027576002 scopus 로고
    • EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements
    • Andelfinger U, Ramm E. EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements. International Journal for Numerical Methods in Engineering 1993; 36:1311-1337.
    • (1993) International Journal for Numerical Methods in Engineering , vol.36 , pp. 1311-1337
    • Andelfinger, U.1    Ramm, E.2
  • 20
    • 0030286483 scopus 로고    scopus 로고
    • An efficient 3D enhanced strain element with Taylor expansion of the shape functions
    • Korelc J, Wriggers P. An efficient 3D enhanced strain element with Taylor expansion of the shape functions. Computational Mechanics 1996; 19:30-40.
    • (1996) Computational Mechanics , vol.19 , pp. 30-40
    • Korelc, J.1    Wriggers, P.2
  • 25
    • 0000269132 scopus 로고    scopus 로고
    • On volumetric locking of low-order solid and solid-shell elements for finite elastoviscoplastic deformations and selective reduced integration
    • Doll S, Schweizerhof K, Hauptmann R, Freischläger C. On volumetric locking of low-order solid and solid-shell elements for finite elastoviscoplastic deformations and selective reduced integration. Engineering Computations 2000; 17:874-902.
    • (2000) Engineering Computations , vol.17 , pp. 874-902
    • Doll, S.1    Schweizerhof, K.2    Hauptmann, R.3    Freischläger, C.4
  • 26
    • 0036543885 scopus 로고    scopus 로고
    • About linear and quadratic 'Solid-Shell' elements at large deformations
    • Harnau M, Schweizerhof K. About linear and quadratic 'Solid-Shell' elements at large deformations. Computers and Structures 2002; 80:805-817.
    • (2002) Computers and Structures , vol.80 , pp. 805-817
    • Harnau, M.1    Schweizerhof, K.2
  • 27
    • 0019057349 scopus 로고
    • Generalization of selective integration procedures to anisotropic and nonlinear media
    • Hughes TJR. Generalization of selective integration procedures to anisotropic and nonlinear media. International Journal for Numerical Methods in Engineering 1980; 15:1413-1418.
    • (1980) International Journal for Numerical Methods in Engineering , vol.15 , pp. 1413-1418
    • Hughes, T.J.R.1
  • 29
    • 2442423865 scopus 로고    scopus 로고
    • Geometrically nonlinear static and dynamic analysis of shells and plates using the eight-node hexahedral element with one-point quadrature
    • Duarte Filho LA, Awruch AM. Geometrically nonlinear static and dynamic analysis of shells and plates using the eight-node hexahedral element with one-point quadrature. Finite Elements in Analysis and Design 2004; 40:1297-1315.
    • (2004) Finite Elements in Analysis and Design , vol.40 , pp. 1297-1315
    • Duarte Filho, L.A.1    Awruch, A.M.2
  • 30
    • 0034224272 scopus 로고    scopus 로고
    • A stabilized 3-D co-rotational formulation for geometrically nonlinear analysis of multi-layered composite shells
    • Masud A, Tham CL, Liu WK. A stabilized 3-D co-rotational formulation for geometrically nonlinear analysis of multi-layered composite shells. Computational Mechanics 2000; 26:1-12.
    • (2000) Computational Mechanics , vol.26 , pp. 1-12
    • Masud, A.1    Tham, C.L.2    Liu, W.K.3
  • 34
    • 0019610759 scopus 로고
    • Finite elements based upon Mindlin plate theory with particular references to the four node bilinear isoparametric element
    • Hughes TJR, Tezduyar TE. Finite elements based upon Mindlin plate theory with particular references to the four node bilinear isoparametric element. Journal of Applied Mechanics 1981; 48:587-595.
    • (1981) Journal of Applied Mechanics , vol.48 , pp. 587-595
    • Hughes, T.J.R.1    Tezduyar, T.E.2
  • 35
    • 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. Journal of Applied Mechanics 1982; 49:115-120.
    • (1982) Journal of Applied Mechanics , vol.49 , pp. 115-120
    • Wempner, G.1    Talaslidis, D.2    Hwang, C.-M.3
  • 36
    • 0021384182 scopus 로고
    • A continuum mechanics based four-node shell element for general non-linear analysis
    • Dvorkin EN, Bathe K-J. A continuum mechanics based four-node shell element for general non-linear analysis. Engineering Computations 1984; 1:77-88.
    • (1984) Engineering Computations , vol.1 , pp. 77-88
    • Dvorkin, E.N.1    Bathe, K.-J.2
  • 37
    • 0022676227 scopus 로고
    • On the variational foundations of assumed strain methods
    • Simo JC, Hughes TJR. On the variational foundations of assumed strain methods. Journal of Applied Mechanics 1986; 53:51-54.
    • (1986) Journal of Applied Mechanics , vol.53 , pp. 51-54
    • Simo, J.C.1    Hughes, T.J.R.2
  • 39
    • 0037469616 scopus 로고    scopus 로고
    • Optimal solid shells for non-linear analyses of multilayer composites. I. Statics
    • Vu-Quoc L, Tan XG. Optimal solid shells for non-linear analyses of multilayer composites. I. Statics. Computer Methods in Applied Mechanics and Engineering 2003; 192:975-1016.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 975-1016
    • Vu-Quoc, L.1    Tan, X.G.2
  • 40
    • 16244401172 scopus 로고    scopus 로고
    • A resultant 8-node solid-shell element for geometrically nonlinear analysis
    • Kim KD, Liu GZ, Han SC. A resultant 8-node solid-shell element for geometrically nonlinear analysis. Computational Mechanics 2005; 35:315-331.
    • (2005) Computational Mechanics , vol.35 , pp. 315-331
    • Kim, K.D.1    Liu, G.Z.2    Han, S.C.3
  • 42
    • 84989463351 scopus 로고
    • An assumed strain approach avoiding artificial thickness straining for a non-linear 4-node shell element
    • Betsch P, Stein E. An assumed strain approach avoiding artificial thickness straining for a non-linear 4-node shell element. Communications in Numerical Methods in Engineering 1995; 11:899-909.
    • (1995) Communications in Numerical Methods in Engineering , vol.11 , pp. 899-909
    • Betsch, P.1    Stein, E.2
  • 44
    • 0032140105 scopus 로고    scopus 로고
    • A new one-point quadrature, general non-linear quadrilateral shell element with physical stabilization
    • Zeng Q, Combescure A. A new one-point quadrature, general non-linear quadrilateral shell element with physical stabilization. International Journal for Numerical Methods in Engineering 1998; 42:1307-1338.
    • (1998) International Journal for Numerical Methods in Engineering , vol.42 , pp. 1307-1338
    • Zeng, Q.1    Combescure, A.2
  • 45
    • 0037294231 scopus 로고    scopus 로고
    • On reduced integration and locking of flat shell finite elements with drilling rotations
    • Geyer S, Groenwold AA. On reduced integration and locking of flat shell finite elements with drilling rotations. Communications in Numerical Methods in Engineering 2003; 19:85-97.
    • (2003) Communications in Numerical Methods in Engineering , vol.19 , pp. 85-97
    • Geyer, S.1    Groenwold, A.A.2
  • 48
    • 0036543889 scopus 로고    scopus 로고
    • SHB8PS-a new adaptive, assumed-strain continuum mechanics shell element for impact analysis
    • Abed-Meraim F, Combescure A. SHB8PS-a new adaptive, assumed-strain continuum mechanics shell element for impact analysis. Computers and Structures 2002; 80:791-803.
    • (2002) Computers and Structures , vol.80 , pp. 791-803
    • Abed-Meraim, F.1    Combescure, A.2
  • 49
    • 0041814391 scopus 로고    scopus 로고
    • Elastoplastic stability analysis of shells using the physically stabilized finite element SHB8PS
    • Legay A, Combescure A. Elastoplastic stability analysis of shells using the physically stabilized finite element SHB8PS. International Journal for Numerical Methods in Engineering 2003; 57:1299-1322.
    • (2003) International Journal for Numerical Methods in Engineering , vol.57 , pp. 1299-1322
    • Legay, A.1    Combescure, A.2
  • 53
    • 33846947525 scopus 로고    scopus 로고
    • A large deformation solid-shell concept based on reduced integration with hourglass stabilization
    • Reese S. A large deformation solid-shell concept based on reduced integration with hourglass stabilization. International Journal for Numerical Methods in Engineering 2007; 69:1671-1716.
    • (2007) International Journal for Numerical Methods in Engineering , vol.69 , pp. 1671-1716
    • Reese, S.1
  • 56
    • 0035388085 scopus 로고    scopus 로고
    • Schweizerhof K. 'Solid shell' elements with linear and quadratic shape functions at large deformations with nearly incompressible materials
    • Hauptmann R, Doll S, Harnau M, Schweizerhof K. 'Solid shell' elements with linear and quadratic shape functions at large deformations with nearly incompressible materials. Computers and Structures 2001; 79:1671-1685.
    • (2001) Computers and Structures , vol.79 , pp. 1671-1685
    • Hauptmann, R.1    Doll, S.2    Harnau, M.3
  • 57
    • 0034322692 scopus 로고    scopus 로고
    • A highly efficient enhanced assumed strain physically stabilized hexahedral element
    • Puso MA. A highly efficient enhanced assumed strain physically stabilized hexahedral element. International Journal for Numerical Methods in Engineering 2000; 49:1029-1064.
    • (2000) International Journal for Numerical Methods in Engineering , vol.49 , pp. 1029-1064
    • Puso, M.A.1
  • 58
    • 34247372714 scopus 로고    scopus 로고
    • Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements
    • Zhang S. Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements. Journal of Computational and Applied Mathematics 2007; 205:325-342.
    • (2007) Journal of Computational and Applied Mathematics , vol.205 , pp. 325-342
    • Zhang, S.1
  • 59
    • 0035808182 scopus 로고    scopus 로고
    • The equivalent parallelogram and parallelepiped, and their application to stabilized finite elements in two and three dimensions
    • Küssner M, Reddy BD. The equivalent parallelogram and parallelepiped, and their application to stabilized finite elements in two and three dimensions. Computer Methods in Applied Mechanics and Engineering 2001; 190:1967-1983.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 1967-1983
    • Küssner, M.1    Reddy, B.D.2
  • 61
    • 0031335824 scopus 로고    scopus 로고
    • A one-point quadrature eight-node brick element with hourglass control
    • Hu Y-K, Nagy LI. A one-point quadrature eight-node brick element with hourglass control. Computers and Structures 1997; 65:893-902.
    • (1997) Computers and Structures , vol.65 , pp. 893-902
    • Hu, Y.-K.1    Nagy, L.I.2
  • 62
  • 63
    • 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
  • 65
    • 0037422623 scopus 로고    scopus 로고
    • Development of geometrically exact new shell elements based on general curvilinear co-ordinates
    • Cho M, Roh HY. Development of geometrically exact new shell elements based on general curvilinear co-ordinates. International Journal for Numerical Methods in Engineering 2003; 56:81-115.
    • (2003) International Journal for Numerical Methods in Engineering , vol.56 , pp. 81-115
    • Cho, M.1    Roh, H.Y.2
  • 67
    • 0024619943 scopus 로고
    • On a stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization
    • Simo JC, Fox DD. On a stress resultant geometrically exact shell model. Part I: formulation and optimal parametrization. Computer Methods in Applied Mechanics and Engineering 1989; 72:267-304.
    • (1989) Computer Methods in Applied Mechanics and Engineering , vol.72 , pp. 267-304
    • Simo, J.C.1    Fox, D.D.2
  • 68
    • 0010259315 scopus 로고
    • Table of the zeros of the Legendre polynomials of order 1-16 and the weight coefficients for Gauss' mechanical quadrature formula
    • Lowan AN, Davids N, Levenson A. Table of the zeros of the Legendre polynomials of order 1-16 and the weight coefficients for Gauss' mechanical quadrature formula. Bulletin of the American Mathematical Society 1942; 48:739-743.
    • (1942) Bulletin of the American Mathematical Society , vol.48 , pp. 739-743
    • Lowan, A.N.1    Davids, N.2    Levenson, A.3
  • 71
    • 0031249498 scopus 로고    scopus 로고
    • The finite element patch test revisited a computer test for convergence, validation and error estimates
    • Zienkiewicz OC, Taylor RL. The finite element patch test revisited a computer test for convergence, validation and error estimates. Computer Methods in Applied Mechanics and Engineering 1997; 149:223-254.
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.149 , pp. 223-254
    • Zienkiewicz, O.C.1    Taylor, R.L.2
  • 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
  • 75
    • 0024125688 scopus 로고
    • Consistent linearization in elasto-plastic shell analysis
    • Ramm E, Matzenmiller A. Consistent linearization in elasto-plastic shell analysis. Engineering Computations 1988; 5:289-299.
    • (1988) Engineering Computations , vol.5 , pp. 289-299
    • Ramm, E.1    Matzenmiller, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.