메뉴 건너뛰기




Volumn 12, Issue 1, 2005, Pages 3-66

One point quadrature shell elements for sheet metal forming analysis

Author keywords

[No Author keywords available]

Indexed keywords

ALUMINUM ALLOYS; COMPUTER SIMULATION; DEFORMATION; ELECTRONIC EQUIPMENT; INTERPOLATION; MATHEMATICAL MODELS; MECHANICS; METAL PRESSING; SHELLS (STRUCTURES); STRESS ANALYSIS;

EID: 17644363023     PISSN: 11343060     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02736172     Document Type: Review
Times cited : (16)

References (98)
  • 4
    • 0027576002 scopus 로고
    • EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements
    • U. Andelfinger and E. Ramm (1993). EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements. International Journal for Numerical Methods in Engineering, 36, 1311.
    • (1993) International Journal for Numerical Methods in Engineering , vol.36 , pp. 1311
    • Andelfinger, U.1    Ramm, E.2
  • 5
    • 0024775634 scopus 로고
    • Plastic behavior and stretchability of sheet metals. Part I: A yield function for orthotropic sheets under plane stress conditions
    • F. Barlat and J. Lian (1989). Plastic behavior and stretchability of sheet metals. Part I: a yield function for orthotropic sheets under plane stress conditions. International Journal of Plasticity, 5, 51.
    • (1989) International Journal of Plasticity , vol.5 , pp. 51
    • Barlat, F.1    Lian, J.2
  • 7
    • 0027239407 scopus 로고
    • Plastic dual potential for FCC metals and application to minimum plastic work path calculation
    • F. Barlat, K. Chung and O. Richmond (1993). Plastic dual potential for FCC metals and application to minimum plastic work path calculation. International Journal of Plasticity, 9, 1.
    • (1993) International Journal of Plasticity , vol.9 , pp. 1
    • Barlat, F.1    Chung, K.2    Richmond, O.3
  • 16
    • 0026191397 scopus 로고
    • Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems
    • T. Belytschko and L.P. Bindeman (1991). Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems. Computer Methods in Applied Mechanics and Engineering, 88, 311.
    • (1991) Computer Methods in Applied Mechanics and Engineering , vol.88 , pp. 311
    • Belytschko, T.1    Bindeman, L.P.2
  • 21
    • 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 and E. Stein (1996). A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains. Computer Methods in Applied Mechanics and Engineering, 130, 57.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.130 , pp. 57
    • Betsch, P.1    Gruttmann, F.2    Stein, E.3
  • 23
    • 0028483483 scopus 로고
    • Three-dimensional extension of non-linear shell formulation based on the enhanced assumed strain concept
    • N. Buchter, E. Ramm and D. Roehl (1994). Three-dimensional extension of non-linear shell formulation based on the enhanced assumed strain concept. International Journal for Numerical Methods in Engineering, 37, 2551.
    • (1994) International Journal for Numerical Methods in Engineering , vol.37 , pp. 2551
    • Buchter, N.1    Ramm, E.2    Roehl, D.3
  • 28
    • 0027037650 scopus 로고
    • Finite element simulation of sheet metal forming for planar anisotropic metals
    • K. Chung and K.N. Shah (1992). Finite element simulation of sheet metal forming for planar anisotropic metals. International Journal of Plasticity, 8, 453.
    • (1992) International Journal of Plasticity , vol.8 , pp. 453
    • Chung, K.1    Shah, K.N.2
  • 30
    • 0021384182 scopus 로고
    • A continuum mechanics based four-node shell element for general nonlinear analysis
    • E.N. Dvorkin and K.J. Bathe (1984). A continuum mechanics based four-node shell element for general nonlinear analysis. Engineering and Computations, 1, 77.
    • (1984) Engineering and Computations , vol.1 , pp. 77
    • Dvorkin, E.N.1    Bathe, K.J.2
  • 33
    • 0018152560 scopus 로고
    • A finite element analysis of rigid-plastic deformation of the flange in a deep-drawing process based on a fourth-degree yield function
    • M. Goth and F. Ishise (1978). A finite element analysis of rigid-plastic deformation of the flange in a deep-drawing process based on a fourth-degree yield function, International Journal of Mechanical Science, 20, 423.
    • (1978) International Journal of Mechanical Science , vol.20 , pp. 423
    • Goth, M.1    Ishise, F.2
  • 34
    • 0011850543 scopus 로고
    • Implementation of a modified Hughes-Liu shell into a fully vectorized explicit finite element code
    • P. Bergan et al., Springer, Berlin
    • J.O. Hallquist, P.J. Benson and G.L. Gougrean (1986). Implementation of a modified Hughes-Liu shell into a fully vectorized explicit finite element code. In P. Bergan et al., Finite Element Methods for Nonlinear Problems, Springer, Berlin), 283.
    • (1986) Finite Element Methods for Nonlinear Problems , vol.283
    • Hallquist, J.O.1    Benson, P.J.2    Gougrean, G.L.3
  • 35
    • 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
    • R. Hauptmann and K. Schweizerhof (1998). 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, 42, 49.
    • (1998) International Journal for Numerical Methods in Engineering , vol.42 , pp. 49
    • Hauptmann, R.1    Schweizerhof, K.2
  • 36
    • 0001297082 scopus 로고
    • A theory of the yielding and plastic flow of anisotropic metals
    • R. Hill (1948). A theory of the yielding and plastic flow of anisotropic metals. Proc. Roy. Soc. London A193, 281.
    • (1948) Proc. Roy. Soc. London A , vol.193 , pp. 281
    • Hill, R.1
  • 37
    • 84976114091 scopus 로고
    • Theoretical plasticity of textured aggregates
    • R. Hill (1979). Theoretical plasticity of textured aggregates. Math. Proc. Cambridge Philos. Soc., 85, 179.
    • (1979) Math. Proc. Cambridge Philos. Soc. , vol.85 , pp. 179
    • Hill, R.1
  • 38
    • 0023133928 scopus 로고
    • Constitutive dual potential in classical plasticity
    • R. Hill (1987). Constitutive dual potential in classical plasticity. J. Mech. Phys. Solids, 35, 23.
    • (1987) J. Mech. Phys. Solids , vol.35 , pp. 23
    • Hill, R.1
  • 39
    • 0001043848 scopus 로고
    • Constitutive modelling of orthotropic plasticity in sheet metals
    • R. Hill (1990). Constitutive modelling of orthotropic plasticity in sheet metals. J. Mech. Phys. Solids, 38, 405.
    • (1990) J. Mech. Phys. Solids , vol.38 , pp. 405
    • Hill, R.1
  • 40
    • 0027271582 scopus 로고
    • A user-friendly theory of orthotropic plasticity in sheet metals
    • R. Hill (1993). A user-friendly theory of orthotropic plasticity in sheet metals. International Journal of Mechanical Sciences, 35, 19.
    • (1993) International Journal of Mechanical Sciences , vol.35 , pp. 19
    • Hill, R.1
  • 41
    • 0021628137 scopus 로고
    • A nine-node Lagrangian plate element with enhanced shear interpolation
    • H.C. Huang and E. Hinton (1984). A nine-node Lagrangian plate element with enhanced shear interpolation. Engineering and Computations, 1, 369.
    • (1984) Engineering and Computations , vol.1 , pp. 369
    • Huang, H.C.1    Hinton, E.2
  • 43
    • 43349096144 scopus 로고
    • Reduced selective integration techniques in finite element analysis of plates
    • T.J.R. Hughes, M. Cohen and M. Haroum (1978). Reduced selective integration techniques in finite element analysis of plates. Nuclear Engineering, 46, 203.
    • (1978) Nuclear Engineering , vol.46 , pp. 203
    • Hughes, T.J.R.1    Cohen, M.2    Haroum, M.3
  • 44
    • 0019057349 scopus 로고
    • Generalization of selective integration procedures to anisotropic and nonlinear media
    • T.J.R. Hughes (1980). Generalization of selective integration procedures to anisotropic and nonlinear media. International Journal for Numerical Methods in Engineering, 15, 1413.
    • (1980) International Journal for Numerical Methods in Engineering , vol.15 , pp. 1413
    • Hughes, T.J.R.1
  • 47
    • 0019610759 scopus 로고
    • Finite elements based upon mindlin plate theory with particular reference to the four-node bilinear isoparametric element
    • T.J.R. Hughes and T.E. Tezduyar (1981). Finite elements based upon mindlin plate theory with particular reference to the four-node bilinear isoparametric element. Journal of Applied Mechanics, 48, 587.
    • (1981) Journal of Applied Mechanics , vol.48 , pp. 587
    • Hughes, T.J.R.1    Tezduyar, T.E.2
  • 51
    • 0027884665 scopus 로고
    • A general anisotropic yield criterion using bounds and a transformation weighting tensor
    • A.P. Karafillis and M.C. Boyce (1993). A general anisotropic yield criterion using bounds and a transformation weighting tensor. J. Mech. Phys. Solids, 41, 1859.
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 1859
    • Karafillis, A.P.1    Boyce, M.C.2
  • 52
    • 38249006501 scopus 로고
    • Algorithmic symmetrization of Coulomb frictional problems using augmented Lagrangians
    • T.A. Laursen and J.C. Simo (1993). Algorithmic symmetrization of Coulomb frictional problems using augmented Lagrangians. Computer Methods in Applied Mechanics and Engineering, 108, 133.
    • (1993) Computer Methods in Applied Mechanics and Engineering , vol.108 , pp. 133
    • Laursen, T.A.1    Simo, J.C.2
  • 60
    • 0021727784 scopus 로고
    • A total lagrangian formulation for the geometrically nonlinear analysis of structures using finite elements. Part I. Two-dimensional problems: Shell and plate structures
    • J. Oliver and E. Oñate (1984). A total lagrangian formulation for the geometrically nonlinear analysis of structures using finite elements. Part I. Two-dimensional problems: shell and plate structures. International Journal for Numerical Methods in Engineering, 20, 2253.
    • (1984) International Journal for Numerical Methods in Engineering , vol.20 , pp. 2253
    • Oliver, J.1    Oñate, E.2
  • 61
    • 0040145451 scopus 로고
    • Global analysis methods for the solution of elastoplastic and viscoplastic dynamic problems
    • Dept. Civil Engrg., Univ. California, Berkeley
    • M. Ortiz and P.M. Pinsky (1981). Global analysis methods for the solution of elastoplastic and viscoplastic dynamic problems. Rep. UCB/SESM 81/08, Dept. Civil Engrg., Univ. California, Berkeley.
    • (1981) Rep. UCB/SESM 81/08
    • Ortiz, M.1    Pinsky, P.M.2
  • 64
    • 0018727138 scopus 로고
    • A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration
    • H. Parisch (1979). A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration. Computer Methods in Applied Mechanics and Engineering, 20, 323.
    • (1979) Computer Methods in Applied Mechanics and Engineering , vol.20 , pp. 323
    • Parisch, H.1
  • 66
    • 0019680343 scopus 로고
    • Nonlinear analysis of shells using isoparametric elements
    • T.J.R. Hughes et al. (Eds.), ASME New York
    • H. Parisch (1981). Nonlinear analysis of shells using isoparametric elements. In T.J.R. Hughes et al. (Eds.), ASME, 48, ASME New York.
    • (1981) ASME , vol.48
    • Parisch, H.1
  • 67
  • 69
    • 0022736020 scopus 로고
    • A curved C° shell element based on assumed natural-coordinate strains
    • K.C. Park and G. Stanley (1986). A curved C° shell element based on assumed natural-coordinate strains. Journal of Applied Mechanics, 53, 278.
    • (1986) Journal of Applied Mechanics , vol.53 , pp. 278
    • Park, K.C.1    Stanley, G.2
  • 70
    • 84987041169 scopus 로고
    • Computational model for three dimensional contact problems with friction based on the penalty method
    • D. Peric and D.R. J. Owen (1992). Computational model for three dimensional contact problems with friction based on the penalty method. International Journal for Numerical Methods in Engineering, 35, 1289.
    • (1992) International Journal for Numerical Methods in Engineering , vol.35 , pp. 1289
    • Peric, D.1    Owen, D.R.J.2
  • 72
    • 0003278808 scopus 로고
    • A plate/shell element for large deflection and rotations
    • K.J. Bathe, J.T. Oden and W. Wunderlish (Eds.), MIT Press, Cambridge, MA
    • E. Ramm (1977). A plate/shell element for large deflection and rotations. In K.J. Bathe, J.T. Oden and W. Wunderlish (Eds.), Formulation and Computational Algorithms in Finite Element Analysis, MIT Press, Cambridge, MA.
    • (1977) Formulation and Computational Algorithms in Finite Element Analysis
    • Ramm, E.1
  • 73
    • 0008360484 scopus 로고
    • Large deformation shell analysis based on the degeneration concept
    • T.J.R. Hughes, E. Hinton (Eds.), Pineridge Press, Swansea
    • E. Ramm and A. Matzenmiller (1986). Large deformation shell analysis based on the degeneration concept. In T.J.R. Hughes, E. Hinton (Eds.), Finite Element Methods for Plate and Shell Structures, Pineridge Press, Swansea, 365.
    • (1986) Finite Element Methods for Plate and Shell Structures , pp. 365
    • Ramm, E.1    Matzenmiller, A.2
  • 74
    • 0030214836 scopus 로고    scopus 로고
    • Large elasto-plastic finite element analysis of solids and shells with the enhanced assumed strain concept
    • D. Roehl and E. Ramm (1996). Large elasto-plastic finite element analysis of solids and shells with the enhanced assumed strain concept. International Journal of Solids and Structures, 33, 3215.
    • (1996) International Journal of Solids and Structures , vol.33 , pp. 3215
    • Roehl, D.1    Ramm, E.2
  • 77
    • 0024619943 scopus 로고    scopus 로고
    • On a stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization
    • J.C. Simo and D.D. Fox. On a stress resultant geometrically exact shell model. Part I: formulation and optimal parametrization. Computer Methods in Applied Mechanics and Engineering, 72, 267.
    • Computer Methods in Applied Mechanics and Engineering , vol.72 , pp. 267
    • Simo, J.C.1    Fox, D.D.2
  • 78
    • 0025399242 scopus 로고
    • On a stress resultant geometrically exact shell model. Part III: Computational aspects of the nonlinear theory
    • J.C. Simo, D.D. Fox and M.S. Rifai (1990). On a stress resultant geometrically exact shell model. Part III: computational aspects of the nonlinear theory. Computer Methods in Applied Mechanics and Engineering, 79, 21.
    • (1990) Computer Methods in Applied Mechanics and Engineering , vol.79 , pp. 21
    • Simo, J.C.1    Fox, D.D.2    Rifai, M.S.3
  • 79
    • 0025457448 scopus 로고
    • On a stress resultant geometrically exact shell model. Part IV: Variable thickness shells with through-thickness stretching
    • J.C. Simo, M.S. Rifai and D.D. Fox (1990). On a stress resultant geometrically exact shell model. Part IV: variable thickness shells with through-thickness stretching. Computer Methods in Applied Mechanics and Engineering, 81, 91.
    • (1990) Computer Methods in Applied Mechanics and Engineering , vol.81 , pp. 91
    • Simo, J.C.1    Rifai, M.S.2    Fox, D.D.3
  • 80
    • 0027847564 scopus 로고
    • Improved versions of assumed enhanced strain tri-linear elements or 3D finite deformation problems
    • J.C. Simo, F. Armero and R.L. Taylor (1993). Improved versions of assumed enhanced strain tri-linear elements or 3D finite deformation problems. Computer Methods in Applied Mechanics and Engineering, 110, 359.
    • (1993) Computer Methods in Applied Mechanics and Engineering , vol.110 , pp. 359
    • Simo, J.C.1    Armero, F.2    Taylor, R.L.3
  • 82
    • 0026626125 scopus 로고
    • An augmented Lagrangian treatment of contact problems involving friction
    • J.C. Simo and T.A. Laursen (1992). An augmented Lagrangian treatment of contact problems involving friction. Computers and Structures, 42, 97.
    • (1992) Computers and Structures , vol.42 , pp. 97
    • Simo, J.C.1    Laursen, T.A.2
  • 83
    • 0003816561 scopus 로고
    • Ph.D. Dissertation, Applied Mechanics Division, Stanford University, Stanford, CA
    • G.M. Stanley (1985). Continuum-based shell elements. Ph.D. Dissertation, Applied Mechanics Division, Stanford University, Stanford, CA.
    • (1985) Continuum-based Shell Elements
    • Stanley, G.M.1
  • 86
    • 0002565890 scopus 로고
    • The non-linear field theories of mechanics
    • S Flugge (Ed.), 3/3, Springer-Verlag, Berlin
    • C. Truesdell and W. Noll (1965). The non-linear field theories of mechanics. In Encyclopedia of Physics, S Flugge (Ed.), 3/3, Springer-Verlag, Berlin.
    • (1965) Encyclopedia of Physics
    • Truesdell, C.1    Noll, W.2
  • 88
    • 0022900517 scopus 로고
    • A rigid-plastic finite element calculation for the analysis of general deformation of planar anisotropic sheet metals and its application
    • D.Y. Yang and Y.J. Kim (1986). A rigid-plastic finite element calculation for the analysis of general deformation of planar anisotropic sheet metals and its application. International Journal of Mechanical Science, 28, 825.
    • (1986) International Journal of Mechanical Science , vol.28 , pp. 825
    • Yang, D.Y.1    Kim, Y.J.2
  • 89
    • 58149364307 scopus 로고
    • Finite element method for sheet forming based on an anisotropic strain-rate potential and the convected coordinate system
    • J.W. Yoon, I.S. Song, D.Y.Yang, K. Chung and F. Barlat (1995). Finite element method for sheet forming based on an anisotropic strain-rate potential and the convected coordinate system. International Journal of Mechanical Science, 37, 733.
    • (1995) International Journal of Mechanical Science , vol.37 , pp. 733
    • Yoon, J.W.1    Song, I.S.2    Yang, D.Y.3    Chung, K.4    Barlat, F.5
  • 91
    • 0032673203 scopus 로고    scopus 로고
    • Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials
    • J.W. Yoon, D.Y. Yang and K. Chung (1999). Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials. Computer Methods in Applied Mechanics and Engineering, 174, 23.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.174 , pp. 23
    • Yoon, J.W.1    Yang, D.Y.2    Chung, K.3
  • 92
    • 0032686222 scopus 로고    scopus 로고
    • A general elasto-plastic finite element formulation based on incremental deformation theory for planar anisotropy and its application to sheet metal forming
    • J.W. Yoon, D.Y. Yang, K. Chung and F. Barlat (1999). A general elasto-plastic finite element formulation based on incremental deformation theory for planar anisotropy and its application to sheet metal forming. International Journal of Plasticity, 15, 35.
    • (1999) International Journal of Plasticity , vol.15 , pp. 35
    • Yoon, J.W.1    Yang, D.Y.2    Chung, K.3    Barlat, F.4
  • 94
    • 0000187771 scopus 로고
    • Calculation of Elastic-Plastic flow
    • B. Alder et al (Eds.), Academic Press, New York
    • M.L. Wilkins (1964). Calculation of Elastic-Plastic flow. in Methods of Comp. Physics, B. Alder et al (Eds.), 3, Academic Press, New York.
    • (1964) Methods of Comp. Physics , vol.3
    • Wilkins, M.L.1
  • 96
    • 0027677837 scopus 로고
    • On the application of augmented Lagrangian techniques for nonlinear constitutive laws in contact interfaces
    • P. Wriggers and G. Zavarise (1993). On the application of augmented Lagrangian techniques for nonlinear constitutive laws in contact interfaces. Communications in Numererical Methods in Engineering, 9, 815.
    • (1993) Communications in Numererical Methods in Engineering , vol.9 , pp. 815
    • Wriggers, P.1    Zavarise, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.