메뉴 건너뛰기




Volumn 40, Issue 4, 1997, Pages 689-726

On large deformations of thin elasto-plastic shells: Implementation of a finite rotation model for quadrilateral shell element

Author keywords

Elasto plasticity; Finite elements; Finite rotations; Large deformations; Shells

Indexed keywords

CALCULATIONS; DEFORMATION; ELASTOPLASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS;

EID: 0031076038     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970228)40:4<689::AID-NME85>3.0.CO;2-7     Document Type: Article
Times cited : (80)

References (27)
  • 2
    • 0022678185 scopus 로고
    • A return mapping algorithm for plane stress elastoplasticity
    • J. C. Simo and R. L. Taylor, 'A return mapping algorithm for plane stress elastoplasticity', Int. j. numer. methods eng., 22, 649-670 (1986).
    • (1986) Int. J. Numer. Methods Eng. , vol.22 , pp. 649-670
    • Simo, J.C.1    Taylor, R.L.2
  • 3
    • 0005036799 scopus 로고
    • Computational aspects of elasto-plasticity in shell analysis
    • D. R. J. Owen et al. (eds), Pineridge Press, Swansea
    • E. Ramm and A. Matzenmiller, 'Computational aspects of elasto-plasticity in shell analysis', in D. R. J. Owen et al. (eds), Computational Plasticity I: Models, Software and Applications, Pineridge Press, Swansea, 1987, pp. 711-734.
    • (1987) Computational Plasticity I: Models, Software and Applications , pp. 711-734
    • Ramm, E.1    Matzenmiller, A.2
  • 4
    • 0025399242 scopus 로고
    • On a stress resultant geometrically exact shell model. Part III: Computational aspects of the nonlinear theory
    • J. C. Simo and D. D. Fox, 'On a stress resultant geometrically exact shell model. Part III: computational aspects of the nonlinear theory', Comput. Methods Appl. Mech. Eng., 79, 21-70 (1990).
    • (1990) Comput. Methods Appl. Mech. Eng. , vol.79 , pp. 21-70
    • Simo, J.C.1    Fox, D.D.2
  • 5
    • 0025838443 scopus 로고
    • An investigation of a finite rotation four node assumed strain shell element
    • H. Parisch, 'An investigation of a finite rotation four node assumed strain shell element', Int. j. numer. methods eng., 31, 127-150 (1991).
    • (1991) Int. J. Numer. Methods Eng. , vol.31 , pp. 127-150
    • Parisch, H.1
  • 6
    • 0024620495 scopus 로고
    • An assessment of assumed strain methods in finite rotation shell analysis
    • N. Stander, A. Matzenmiller and E. Ramm, 'An assessment of assumed strain methods in finite rotation shell analysis', Eng. Comput., 6, 57-66 (1989).
    • (1989) Eng. Comput. , vol.6 , pp. 57-66
    • Stander, N.1    Matzenmiller, A.2    Ramm, E.3
  • 7
    • 0026840209 scopus 로고
    • An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation
    • C. Sansour and H. Bufler, 'An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation', Int. j. numer, methods eng., 34, 73-115 (1992).
    • (1992) Int. J. Numer, Methods Eng. , vol.34 , pp. 73-115
    • Sansour, C.1    Bufler, H.2
  • 8
    • 0027607820 scopus 로고
    • Thin shells with finite rotations formulated in Biot stresses: Theory and finite element formulation
    • P. Wriggers and F. Gruttmann, 'Thin shells with finite rotations formulated in Biot stresses: Theory and finite element formulation', Int. j. numer. methods eng., 36, 2049-2071 (1993).
    • (1993) Int. J. Numer. Methods Eng. , vol.36 , pp. 2049-2071
    • Wriggers, P.1    Gruttmann, F.2
  • 9
    • 0026839647 scopus 로고
    • Shell theory versus degeneration - A comparison in large rotation finite element analysis
    • N. Büchter and E. Ramm, 'Shell theory versus degeneration - a comparison in large rotation finite element analysis', Int. j. numer. methods eng., 34, 39-59 (1992).
    • (1992) Int. J. Numer. Methods Eng. , vol.34 , pp. 39-59
    • Büchter, N.1    Ramm, E.2
  • 10
    • 0000838996 scopus 로고
    • The theory of shells
    • S. Flüge (ed.), Springer, Berlin
    • P. M. Naghdi, 'The theory of shells', in S. Flüge (ed.), Handbuch der Physik VI/2, Springer, Berlin, 1972.
    • (1972) Handbuch der Physik VI/2
    • Naghdi, P.M.1
  • 11
    • 0024619943 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', Comput. Methods Appl. Mech. Eng., 72, 267-304 (1987).
    • (1987) Comput. Methods Appl. Mech. Eng. , vol.72 , pp. 267-304
    • Simo, J.C.1    Fox, D.D.2
  • 12
    • 0025457448 scopus 로고
    • On a stress resultant geometrically exact shell model. Part IV: Variable thickness shells with through-the-thickness stretching
    • J. C. Simo, M. S. Rifai and D. D. Fox, 'On a stress resultant geometrically exact shell model. Part IV: Variable thickness shells with through-the-thickness stretching', Comput. Methods Appl. Mech. Eng., 81, 91-126 (1990).
    • (1990) Comput. Methods Appl. Mech. Eng. , vol.81 , pp. 91-126
    • Simo, J.C.1    Rifai, M.S.2    Fox, D.D.3
  • 13
    • 0029355076 scopus 로고
    • On implementation of a nonlinear four-node finite element for thin multilayered elastic shells
    • B. Brank, D. Perić and F. B. Damjanić, 'On implementation of a nonlinear four-node finite element for thin multilayered elastic shells', Comput. Mech., 16, 341-359 (1995).
    • (1995) Comput. Mech. , vol.16 , pp. 341-359
    • Brank, B.1    Perić, D.2    Damjanić, F.B.3
  • 14
    • 0021384182 scopus 로고
    • A continuum mechanics based four-node shell element for general nonlinear analysis
    • E. N. Dvorkin and K. J. Bathe, 'A continuum mechanics based four-node shell element for general nonlinear analysis', Eng. Comput., 1, 77-88 (1984).
    • (1984) Eng. Comput. , vol.1 , pp. 77-88
    • Dvorkin, E.N.1    Bathe, K.J.2
  • 16
    • 0020551780 scopus 로고
    • Finite rotations in the description of continuum deformation
    • W. Pietraszkiewicz and J. Badur, 'Finite rotations in the description of continuum deformation', Int. J. Eng. Sci., 21, 1097-1115 (1983).
    • (1983) Int. J. Eng. Sci. , vol.21 , pp. 1097-1115
    • Pietraszkiewicz, W.1    Badur, J.2
  • 19
    • 0027659854 scopus 로고
    • On a stress resultant geometrically exact shell model, Part VII: Shell intersections with 5/6-DOF finite element formulations
    • J. C. Simo, 'On a stress resultant geometrically exact shell model, Part VII: Shell intersections with 5/6-DOF finite element formulations', Comput. Methods Appl. Mech. Eng., 108, 319-339 (1993).
    • (1993) Comput. Methods Appl. Mech. Eng. , vol.108 , pp. 319-339
    • Simo, J.C.1
  • 21
    • 85024545548 scopus 로고
    • Elastic-plastic deformations at finite strains
    • E. H. Lee, 'Elastic-plastic deformations at finite strains', J. Appl. Mech., 36, 1-6 (1969).
    • (1969) J. Appl. Mech. , vol.36 , pp. 1-6
    • Lee, E.H.1
  • 22
    • 0022131597 scopus 로고
    • Accuracy and stability of integration algorithms for elastoplastic constitutive relations
    • M. Ortiz and E. P. Popov, 'Accuracy and stability of integration algorithms for elastoplastic constitutive relations', Int. j. numer. methods eng., 21, 1561-1576 (1985).
    • (1985) Int. J. Numer. Methods Eng. , vol.21 , pp. 1561-1576
    • Ortiz, M.1    Popov, E.P.2
  • 24
    • 0002416818 scopus 로고
    • The Morley thin shell finite element for large deformations problems: Simplicity versus sophistication
    • N. Bićanić (ed.), Pineridge Press, Swansea
    • D. Perić and D. R. J. Owen, The Morley thin shell finite element for large deformations problems: simplicity versus sophistication', in N. Bićanić (ed.), Proc. Int. Conf. on Nonlinear Engineering Computations, Pineridge Press, Swansea, 1991, pp. 121-142.
    • (1991) Proc. Int. Conf. on Nonlinear Engineering Computations , pp. 121-142
    • Perić, D.1    Owen, D.R.J.2
  • 25
    • 0003000637 scopus 로고
    • Efficient non-linear shell formulations with large rotations and plasticity
    • D. R. J. Owen et al. (eds), Pineridge Press, Swansea
    • M. Crisfield and X. Peng, 'Efficient non-linear shell formulations with large rotations and plasticity', in D. R. J. Owen et al. (eds), Computational Plasticity III: Fundamentals and Applications, Pineridge Press, Swansea, 1992, pp. 1979-1996.
    • (1992) Computational Plasticity III: Fundamentals and Applications , pp. 1979-1996
    • Crisfield, M.1    Peng, X.2
  • 26
    • 0018982888 scopus 로고
    • Plastic buckling of cylindrical shells under axial compression
    • L. H. Sobel and S. Z. Newman, 'Plastic buckling of cylindrical shells under axial compression', J. Press. Vess. Technol., 102, 40-44 (1980).
    • (1980) J. Press. Vess. Technol. , vol.102 , pp. 40-44
    • Sobel, L.H.1    Newman, S.Z.2
  • 27
    • 0026852491 scopus 로고
    • On a stress resultant geometrically exact shell model. Part V: Nonlinear plasticity: formulation and integration algorithms
    • J. C. Simo and J. G. Kennedy, 'On a stress resultant geometrically exact shell model. Part V: Nonlinear plasticity: formulation and integration algorithms', Comput. Methods Appl. Mech. Eng., 96, 133-171 (1992).
    • (1992) Comput. Methods Appl. Mech. Eng. , vol.96 , pp. 133-171
    • Simo, J.C.1    Kennedy, J.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.