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Volumn 21, Issue 6, 1998, Pages 512-525

Large viscoplastic deformations of shells. Theory and finite element formulation

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PLASTIC DEFORMATION; STRAIN MEASUREMENT; STRUCTURAL ANALYSIS; VISCOPLASTICITY;

EID: 0032095611     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050329     Document Type: Article
Times cited : (49)

References (46)
  • 1
    • 0029727047 scopus 로고    scopus 로고
    • A general theory of finite deformation of viscoplastic thin shells
    • An Q, Kollmann FG (1996) A general theory of finite deformation of viscoplastic thin shells. Acta Mech. 117:47-70
    • (1996) Acta Mech. , vol.117 , pp. 47-70
    • An, Q.1    Kollmann, F.G.2
  • 2
    • 0018543874 scopus 로고
    • On the large strain inelastic analysis in natural formulation. Part I. Quasistatic problems
    • Argyris JH, Doltsinis JSt (1979) On the large strain inelastic analysis in natural formulation. Part I. Quasistatic problems. Comp. Meth. Appl. Mech. Engrg 20:213-252
    • (1979) Comp. Meth. Appl. Mech. Engrg , vol.20 , pp. 213-252
    • Argyris, J.H.1    Doltsinis, J.St.2
  • 3
    • 33846448253 scopus 로고
    • Alternate stress and conjugate strain measures, and mixed variational formulations involving rigid rotations, for computational analyses of finitely deformed solids, with application to plates and shells- Part I: Theory
    • Atluri SN (1984) Alternate stress and conjugate strain measures, and mixed variational formulations involving rigid rotations, for computational analyses of finitely deformed solids, with application to plates and shells- Part I: Theory. Computers and Structures 18:93-116
    • (1984) Computers and Structures , vol.18 , pp. 93-116
    • Atluri, S.N.1
  • 4
    • 8344223568 scopus 로고
    • An endochronic approach and other topics in small and finite deformation plasticity
    • Eds: P. Bergan, E. Stein, W. Wunderlich Springer
    • Atluri SN (1986) An endochronic approach and other topics in small and finite deformation plasticity, in: Finite Elements in Nonlinear Mechanics, (Eds: P. Bergan, E. Stein, W. Wunderlich) Springer, 17-48
    • (1986) Finite Elements in Nonlinear Mechanics , pp. 17-48
    • Atluri, S.N.1
  • 5
    • 0026981876 scopus 로고
    • Finite rotation shell elements via mixed formulations
    • Basar Y, Ding Y, Krätzig WB (1992) Finite rotation shell elements via mixed formulations. Comp. Mech. 10:289-306
    • (1992) Comp. Mech. , vol.10 , pp. 289-306
    • Basar, Y.1    Ding, Y.2    Krätzig, W.B.3
  • 6
    • 0010771017 scopus 로고
    • A thermodynamic approach to rheology
    • Parkus, H. and Seddov, L.I. (eds.): Wien: Springer
    • Besseling JF (1968) A thermodynamic approach to rheology. In: Parkus, H. and Seddov, L.I. (eds.): Irreversible Aspects of Continuum Mechanics. Wien: Springer
    • (1968) Irreversible Aspects of Continuum Mechanics
    • Besseling, J.F.1
  • 7
    • 84989463351 scopus 로고
    • An assumed strain approach avoiding artificial thickness straining for a non-linear 4-node shell element
    • Betsch P, Stein E (1995) An assumed strain approach avoiding artificial thickness straining for a non-linear 4-node shell element. Comm. Num. Meth. Engrg. 11:899-909
    • (1995) Comm. Num. Meth. Engrg. , vol.11 , pp. 899-909
    • Betsch, P.1    Stein, E.2
  • 8
    • 0016520933 scopus 로고
    • Constitutive equations for elastic-viscoplastic strain-hardening materials
    • Bodner SR, Partom Y (1975) Constitutive equations for elastic-viscoplastic strain-hardening materials, ASME, J. Appl. Mech. 42:385-389
    • (1975) ASME, J. Appl. Mech. , vol.42 , pp. 385-389
    • Bodner, S.R.1    Partom, Y.2
  • 9
    • 0028483483 scopus 로고
    • Three-dimensional extension of non-linear shell formulations based on the enhanced assumed strain concept
    • Büchter N, Ramm E, Roehl D (1994) Three-dimensional extension of non-linear shell formulations based on the enhanced assumed strain concept. Int. J. Num. Meth. Engrg. 37:2551-2568
    • (1994) Int. J. Num. Meth. Engrg. , vol.37 , pp. 2551-2568
    • Büchter, N.1    Ramm, E.2    Roehl, D.3
  • 10
    • 0024863669 scopus 로고
    • Constitutive equations for cyclic plasticity and cyclic viscoplasticity
    • Chaboche JL (1989) Constitutive equations for cyclic plasticity and cyclic viscoplasticity. Int. J. Plasticity 5:247-302
    • (1989) Int. J. Plasticity , vol.5 , pp. 247-302
    • Chaboche, J.L.1
  • 11
    • 0026887846 scopus 로고
    • Genuinely resultant shell finite elements accounting for geometric and material nonlinearity
    • Chroscielewski J, Makowski J, Stumpf H (1992) Genuinely resultant shell finite elements accounting for geometric and material nonlinearity. Int. I. Num. Meth. Engrg. 35:63-94
    • (1992) Int. I. Num. Meth. Engrg. , vol.35 , pp. 63-94
    • Chroscielewski, J.1    Makowski, J.2    Stumpf, H.3
  • 12
    • 0029375860 scopus 로고
    • Formulation of the MITCY shell element for finite strain elasto-plastic analysis
    • Dvorkin EN, Pantuso D (1995) Formulation of the MITCY shell element for finite strain elasto-plastic analysis. Comp. Meth. Appl. Mech. Engrg. 125:17-40
    • (1995) Comp. Meth. Appl. Mech. Engrg. , vol.125 , pp. 17-40
    • Dvorkin, E.N.1    Pantuso, D.2
  • 13
    • 0025497179 scopus 로고
    • A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinemtic hardening using the logarithmic stress and strain measures
    • Eterovic AL, Bathe KJ (1990) A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinemtic hardening using the logarithmic stress and strain measures, Int. J. Num. Meth. Engrg. 30:1099-1115
    • (1990) Int. J. Num. Meth. Engrg. , vol.30 , pp. 1099-1115
    • Eterovic, A.L.1    Bathe, K.J.2
  • 14
    • 0029229615 scopus 로고
    • A general theory of finite inelastic deformation of metals based on the concept of unified constitutive models
    • Hackenberg HP, Kollmann FG (1995) A general theory of finite inelastic deformation of metals based on the concept of unified constitutive models. Acta Mech. 110:217-239
    • (1995) Acta Mech. , vol.110 , pp. 217-239
    • Hackenberg, H.P.1    Kollmann, F.G.2
  • 15
    • 0019574991 scopus 로고
    • Nonlinear finite element analysis of shells: Part 1: Three-dimensional shells
    • Hughes JR, Liu WK (1981) Nonlinear finite element analysis of shells: Part 1: Three-dimensional shells. Comp. Meth. Appl. Mech. Engrg. 26:333-362
    • (1981) Comp. Meth. Appl. Mech. Engrg. , vol.26 , pp. 333-362
    • Hughes, J.R.1    Liu, W.K.2
  • 16
    • 0019584313 scopus 로고
    • Nonlinear finite element analysis of shells: Part 1: Two-dimensional shells
    • Hughes JR, Liu WK (1981) Nonlinear finite element analysis of shells: Part 1: Two-dimensional shells. Comp. Meth. Appl. Mech. Engrg. 27:167-181
    • (1981) Comp. Meth. Appl. Mech. Engrg. , vol.27 , pp. 167-181
    • Hughes, J.R.1    Liu, W.K.2
  • 17
    • 0023168689 scopus 로고
    • A study of two finite strain plasticity models: An internal time theory using Mandel's director concept, and a general isotropic/kinematic-hardening theory, Int
    • Im S, Atluri SN (1987) A study of two finite strain plasticity models: an internal time theory using Mandel's director concept, and a general isotropic/kinematic-hardening theory, Int. J. Plasticity 3:163-191
    • (1987) J. Plasticity , vol.3 , pp. 163-191
    • Im, S.1    Atluri, S.N.2
  • 18
  • 19
    • 0040366083 scopus 로고
    • A theory of viscoplastic shells including damage
    • Kleiber M, Kollmann FG (1993) A theory of viscoplastic shells including damage. Arch. Mech. 45:423-437
    • (1993) Arch. Mech. , vol.45 , pp. 423-437
    • Kleiber, M.1    Kollmann, F.G.2
  • 20
    • 0022145359 scopus 로고
    • A general geometrically linear theory of inelatic thin shells
    • Kollmann FG, Mukherjee S (1985) A general geometrically linear theory of inelatic thin shells. Acta Mech. 57:41-67
    • (1985) Acta Mech. , vol.57 , pp. 41-67
    • Kollmann, F.G.1    Mukherjee, S.2
  • 21
    • 0039007727 scopus 로고
    • Numerical analysis of viscoplastic axisymmetric shells, based on a hybrid strain finite element
    • Kollmann FG, Bergmann V (1990) Numerical analysis of viscoplastic axisymmetric shells, based on a hybrid strain finite element. Comp. Mech. 7:89-105
    • (1990) Comp. Mech. , vol.7 , pp. 89-105
    • Kollmann, F.G.1    Bergmann, V.2
  • 22
    • 11344281806 scopus 로고
    • A family of mixed and hybrid finite elements for the numerical analysis of viscoplastic shells of revolution
    • Wriggers, P., Wagner, W. (eds.): Berlin: Springer
    • Kollmann FG, Cordts D, Hackenberg HP (1991) A family of mixed and hybrid finite elements for the numerical analysis of viscoplastic shells of revolution. In: Wriggers, P., Wagner, W. (eds.): Nonlinear Computational Mechanics. Berlin: Springer
    • (1991) Nonlinear Computational Mechanics
    • Kollmann, F.G.1    Cordts, D.2    Hackenberg, H.P.3
  • 23
    • 0025488448 scopus 로고
    • A finite deformation theory of viscoplasticity based on overstress. part i: Constitutive equations
    • Nishiguchi I, Sham TL, Krempl E (1988) A finite deformation theory of viscoplasticity based on overstress. part i: constitutive equations. J. Appl. Mech. 57:548-552
    • (1988) J. Appl. Mech. , vol.57 , pp. 548-552
    • Nishiguchi, I.1    Sham, T.L.2    Krempl, E.3
  • 24
    • 34250962104 scopus 로고
    • Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
    • Kröner E (1960) Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Arch. Rat. Mech. Anal. 4:273-334
    • (1960) Arch. Rat. Mech. Anal. , vol.4 , pp. 273-334
    • Kröner, E.1
  • 25
    • 85024545548 scopus 로고
    • Elastic-plastic deformation at finite strains
    • Lee EH (1969) Elastic-plastic deformation at finite strains. ASME J. Appl. Mech. 36:1-6
    • (1969) ASME J. Appl. Mech. , vol.36 , pp. 1-6
    • Lee, E.H.1
  • 26
    • 0018737019 scopus 로고
    • A uniaxial viscoplastic model based on total strain and overstress
    • Liu MCM, Krempl E (1979) A uniaxial viscoplastic model based on total strain and overstress. J. Mech. Phys. Solids 27:377-391
    • (1979) J. Mech. Phys. Solids , vol.27 , pp. 377-391
    • Liu, M.C.M.1    Krempl, E.2
  • 27
    • 0015639886 scopus 로고
    • Equations constitutives et directeurs dans les milieux plastiques et viscoplastiques
    • Mandel J (1973) Equations constitutives et directeurs dans les milieux plastiques et viscoplastiques. Int. J. Solids Structures 9:725-740
    • (1973) Int. J. Solids Structures , vol.9 , pp. 725-740
    • Mandel, J.1
  • 28
    • 0003016302 scopus 로고
    • A canonical model of multiplicative elasto-plasticity: Formulation and aspects of the numerical implementation
    • Miehe C, Stein E (1992) A canonical model of multiplicative elasto-plasticity: Formulation and aspects of the numerical implementation. Eur. J. Mech., A/Solids 11:25-43
    • (1992) Eur. J. Mech., A/Solids , vol.11 , pp. 25-43
    • Miehe, C.1    Stein, E.2
  • 29
    • 0025399187 scopus 로고
    • Formulation of implicit finite element methods for multiplicative finite deformation plasticity
    • Moran B, Ortiz M, Shih CF (1990) Formulation of implicit finite element methods for multiplicative finite deformation plasticity Int. J. Num. Meth. Engrg. 29:483-514
    • (1990) Int. J. Num. Meth. Engrg. , vol.29 , pp. 483-514
    • Moran, B.1    Ortiz, M.2    Shih, C.F.3
  • 30
    • 0004716434 scopus 로고
    • The theory of shells
    • S. Flügge (ed.): Berlin Heidelberg New York: Springer
    • Naghdi PM (1972) The theory of shells. In: S. Flügge (ed.): Handbuch der Physik VI/2. Berlin Heidelberg New York: Springer
    • (1972) Handbuch der Physik , vol.6 , Issue.2
    • Naghdi, P.M.1
  • 31
    • 0029484165 scopus 로고
    • An efficient assumed strain element model with six dof per node for geometri-cally nonlinear shells
    • Park HC, Chao C, Lee SW (1995) An efficient assumed strain element model with six dof per node for geometri-cally nonlinear shells. Int. J. Num. Meth. Engrg. 38:4101-4122
    • (1995) Int. J. Num. Meth. Engrg. , vol.38 , pp. 4101-4122
    • Park, H.C.1    Chao, C.2    Lee, S.W.3
  • 32
    • 0026626280 scopus 로고
    • A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues
    • Perk D, Owen DRJ, Honnor ME (1992) A model for finite strain elasto-plasticity based on logarithmic strains: computational issues. Comp. Meth. Appl. Mech. Engrg. 94:35-61
    • (1992) Comp. Meth. Appl. Mech. Engrg. , vol.94 , pp. 35-61
    • Perk, D.1    Owen, D.R.J.2    Honnor, M.E.3
  • 33
    • 0026840209 scopus 로고
    • An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation
    • Sansour C, Bufler H (1992) An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation. Int. J. Num. Meth. Engrg. 34:73-115
    • (1992) Int. J. Num. Meth. Engrg. , vol.34 , pp. 73-115
    • Sansour, C.1    Bufler, H.2
  • 34
    • 0029221956 scopus 로고
    • The Cosserat surface as a shell model, theory and finite-element formulation
    • Sansour C, Bednarczyk H (1995) The Cosserat surface as a shell model, theory and finite-element formulation. Comp. Meth. Appl. Mech. Engrg. 120:1-32
    • (1995) Comp. Meth. Appl. Mech. Engrg. , vol.120 , pp. 1-32
    • Sansour, C.1    Bednarczyk, H.2
  • 35
    • 0029277716 scopus 로고
    • A theory and finite element formulation of shells at finite deformations involving thickness change: Circumventing the use of a rotation tensor
    • Sansour C (1995) A theory and finite element formulation of shells at finite deformations involving thickness change: Circumventing the use of a rotation tensor. Arch. Appl. Mech. 65:194-216
    • (1995) Arch. Appl. Mech. , vol.65 , pp. 194-216
    • Sansour, C.1
  • 36
    • 0031191743 scopus 로고    scopus 로고
    • On theory and numerics of large viscoplastic deformation
    • Sansour C, Kollmann FG (1997) On theory and numerics of large viscoplastic deformation, Comp. Meth. Appl. Mech. Engrg. 146:351-369
    • (1997) Comp. Meth. Appl. Mech. Engrg. , vol.146 , pp. 351-369
    • Sansour, C.1    Kollmann, F.G.2
  • 37
    • 0024014930 scopus 로고
    • A frame work for finite strain elastoplasticity based on maximum plastic dissipation and multiplicative decomposition: Part II
    • Simo JC (1988) A frame work for finite strain elastoplasticity based on maximum plastic dissipation and multiplicative decomposition: Part II. Computational aspects, Comp. Meth. Appl. Mech. Engrg. 68:1-31
    • (1988) Computational Aspects, Comp. Meth. Appl. Mech. Engrg. , vol.68 , pp. 1-31
    • Simo, J.C.1
  • 38
    • 0026910667 scopus 로고
    • Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of infinitesimal theory, Comp
    • Simo JC (1992) Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of infinitesimal theory, Comp. Meth. Appl. Mech. Engrg. 99:61- 112
    • (1992) Meth. Appl. Mech. Engrg. , vol.99 , pp. 61-112
    • Simo, J.C.1
  • 39
    • 0026867998 scopus 로고
    • Geometrically nonlinear enhanced strain mixed methods and the method of incompatible mode
    • Simo JC, Armero F (1992) Geometrically nonlinear enhanced strain mixed methods and the method of incompatible mode. Int. J. Num. Meth. Engrg. 33:1413-1449
    • (1992) Int. J. Num. Meth. Engrg. , vol.33 , pp. 1413-1449
    • Simo, J.C.1    Armero, F.2
  • 40
    • 0024619943 scopus 로고
    • On stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization
    • Simo JC, Fox DD (1989) On stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization. Comp. Meth. Appl. Mech. Engrg. 72:267-304
    • (1989) Comp. Meth. Appl. Mech. Engrg. , vol.72 , pp. 267-304
    • Simo, J.C.1    Fox, D.D.2
  • 41
    • 0026898028 scopus 로고
    • Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
    • Simo JC, Miehe C (1992) Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Comp. Meth. Appl. Mech. Engrg. 98:41-104
    • (1992) Comp. Meth. Appl. Mech. Engrg. , vol.98 , pp. 41-104
    • Simo, J.C.1    Miehe, C.2
  • 42
    • 0025449315 scopus 로고
    • A class of mixed assumed strain methods and the method of incompatible modes
    • Simo JC, Rifai MS (1990) A class of mixed assumed strain methods and the method of incompatible modes. Int. J. Num. Meth. Engrg. 29:1595-1638
    • (1990) Int. J. Num. Meth. Engrg. , vol.29 , pp. 1595-1638
    • Simo, J.C.1    Rifai, M.S.2
  • 43
    • 0022178524 scopus 로고
    • A stochastic model for the high-temperature plasticity of metals
    • Steck EA (1985) A stochastic model for the high-temperature plasticity of metals, Int. J. Plast. 1:243-258
    • (1985) Int. J. Plast. , vol.1 , pp. 243-258
    • Steck, E.A.1
  • 44
    • 0025401322 scopus 로고
    • Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic- Viscoplastic solids
    • Weber G, Anand L (1990) Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic- viscoplastic solids. Comp. Meth. Appl. Mech. Engrg. 79:173-202
    • (1990) Comp. Meth. Appl. Mech. Engrg. , vol.79 , pp. 173-202
    • Weber, G.1    Anand, L.2
  • 45
    • 0027607820 scopus 로고
    • Thin shell with finite rotations in Biot stresses: Theory and finite element formulation
    • Wriggers P, Gruttmann F (1993) Thin shell with finite rotations in Biot stresses: theory and finite element formulation. Int. J. Num. Meth. Engrg. 36:4027-4043
    • (1993) Int. J. Num. Meth. Engrg. , vol.36 , pp. 4027-4043
    • Wriggers, P.1    Gruttmann, F.2
  • 46
    • 0029369544 scopus 로고
    • An axisymmetrical quasi-Kirchhoff-type shell element for large plastic deformations
    • Wriggers P, Eberlein R, Gruttmann F (1995) An axisymmetrical quasi-Kirchhoff-type shell element for large plastic deformations. Arch. Appl. Mech. 65:465-477
    • (1995) Arch. Appl. Mech. , vol.65 , pp. 465-477
    • Wriggers, P.1    Eberlein, R.2    Gruttmann, F.3


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