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Volumn 135, Issue 3-4, 1996, Pages 265-281

The post-critical analysis of axisymmetric hyper-elastic membranes by the finite element method

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTATIONAL METHODS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS; LOADS (FORCES); MECHANICS; MEMBRANES; PRESSURE EFFECTS; TUBES (COMPONENTS);

EID: 0030243060     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(96)01047-X     Document Type: Article
Times cited : (36)

References (38)
  • 1
    • 0024708560 scopus 로고
    • Flow in collapsible tubes: A brief review
    • R.D. Kamm and T.J. Pedley, Flow in collapsible tubes: A brief review, ASME J. Biomech. Engrg. 111 (1989) 177-179.
    • (1989) ASME J. Biomech. Engrg. , vol.111 , pp. 177-179
    • Kamm, R.D.1    Pedley, T.J.2
  • 2
    • 77956835949 scopus 로고
    • Propagation instabilities in structures
    • S. Kyriakides, Propagation instabilities in structures, Adv. Appl. Mech. 30 (1994) 67-189.
    • (1994) Adv. Appl. Mech. , vol.30 , pp. 67-189
    • Kyriakides, S.1
  • 3
    • 0028547799 scopus 로고
    • Inflation of hyperelastic cylindrical membrane as applied to blow moulding. Part I - Axisymmetric case
    • R.E. Khayat and A. Derdouri, Inflation of hyperelastic cylindrical membrane as applied to blow moulding. Part I - Axisymmetric case, Int. J. Numer. Methods Engrg. 37 (1994) 3773-3791.
    • (1994) Int. J. Numer. Methods Engrg. , vol.37 , pp. 3773-3791
    • Khayat, R.E.1    Derdouri, A.2
  • 4
    • 0028547945 scopus 로고
    • Inflation of hyperelastic cylindrical membrane as applied to blow moulding. Part II - Non-axisymmetric case
    • R.E. Khayat and A. Derdouri, Inflation of hyperelastic cylindrical membrane as applied to blow moulding. Part II - Non-axisymmetric case, Int. J. Numer. Methods Engrg. 37 (1994) 3793-3808.
    • (1994) Int. J. Numer. Methods Engrg. , vol.37 , pp. 3793-3808
    • Khayat, R.E.1    Derdouri, A.2
  • 5
    • 0003253124 scopus 로고
    • Finite axisymmetric deformations of an initially cylindrical elastic membrane
    • A.D. Kydoniefs and A.J.M. Spencer, Finite axisymmetric deformations of an initially cylindrical elastic membrane, Quart. J. Mech. Appl. Math. XXII, Pt. 1 (1969).
    • (1969) Quart. J. Mech. Appl. Math. , vol.22 , Issue.1 PART
    • Kydoniefs, A.D.1    Spencer, A.J.M.2
  • 6
    • 0042107815 scopus 로고
    • On the stability of finitely deformed membrane-2
    • R.T. Shield, On the stability of finitely deformed membrane-2, ZAMM 23(16) (1972).
    • (1972) ZAMM , vol.23 , Issue.16
    • Shield, R.T.1
  • 7
    • 0015003662 scopus 로고
    • Tensile instability of initially spherical balloons
    • H. Alexander, Tensile instability of initially spherical balloons, Int. J. Engrg. Sci. 9 (1971) 151.
    • (1971) Int. J. Engrg. Sci. , vol.9 , pp. 151
    • Alexander, H.1
  • 8
    • 0019164621 scopus 로고
    • Post-bifurcation of perfect and imperfect spherical elastic membrane
    • D.M. Haughton, Post-bifurcation of perfect and imperfect spherical elastic membrane, Int. J. Solids Struct. 16 (1980) 1123-1133.
    • (1980) Int. J. Solids Struct. , vol.16 , pp. 1123-1133
    • Haughton, D.M.1
  • 9
    • 0018483135 scopus 로고
    • Bifurcation of inflated circular cylinders of elastic material under axial loading - I. Membrane theory for thin-walled tubes
    • D.M. Haughton and R.W. Ogden, Bifurcation of inflated circular cylinders of elastic material under axial loading - I. Membrane theory for thin-walled tubes, J. Mech. Phys. Solids 27 (1979) 179-212.
    • (1979) J. Mech. Phys. Solids , vol.27 , pp. 179-212
    • Haughton, D.M.1    Ogden, R.W.2
  • 10
    • 0017415419 scopus 로고
    • Inflation of spherical rubber balloons
    • A. Needleman, Inflation of spherical rubber balloons, Int. J. Solids Struct. 13 (1977) 419-424.
    • (1977) Int. J. Solids Struct. , vol.13 , pp. 419-424
    • Needleman, A.1
  • 11
    • 0021445355 scopus 로고
    • On the propagation of bulges and buckles
    • E. Chater and J.W. Hutchinson, On the propagation of bulges and buckles, J. Appl. Mech. 51 (1984) 269-277.
    • (1984) J. Appl. Mech. , vol.51 , pp. 269-277
    • Chater, E.1    Hutchinson, J.W.2
  • 12
    • 0026561553 scopus 로고
    • Inflation of an elastic cylindrical membrane: Non-linear deformation and instability
    • R.E. Khayat, A. Derdouri and A. Garcia-Rjon, Inflation of an elastic cylindrical membrane: Non-linear deformation and instability, Int. J. Solids Struct. 29 (1992) 69-87.
    • (1992) Int. J. Solids Struct. , vol.29 , pp. 69-87
    • Khayat, R.E.1    Derdouri, A.2    Garcia-Rjon, A.3
  • 13
    • 0025792488 scopus 로고
    • The initiation and propagation of a localized instability in an inflated elastic tube
    • S. Kyriakides and Y. Chang, The initiation and propagation of a localized instability in an inflated elastic tube, Int. J. Solids Struct. 27 (1991) 1085-1111.
    • (1991) Int. J. Solids Struct. , vol.27 , pp. 1085-1111
    • Kyriakides, S.1    Chang, Y.2
  • 14
    • 0016943782 scopus 로고
    • Large axisymmetric inflation of a nonlinear viscoelastic membrane by lateral pressure
    • A.S. Wineman, Large axisymmetric inflation of a nonlinear viscoelastic membrane by lateral pressure, Trans. Soc. Rheol. 20 (1976) 203-225.
    • (1976) Trans. Soc. Rheol. , vol.20 , pp. 203-225
    • Wineman, A.S.1
  • 15
    • 0018020477 scopus 로고
    • On axisymmetric deformations of nonlinear viscoelastic membrane
    • A.S. Wineman, On axisymmetric deformations of nonlinear viscoelastic membrane, J. Non-Newtonian Fluid Mech. 4 (1978) 249-260.
    • (1978) J. Non-newtonian Fluid Mech. , vol.4 , pp. 249-260
    • Wineman, A.S.1
  • 16
    • 0041606891 scopus 로고    scopus 로고
    • Finite element modelling of blood flow and blood vessel interaction - A first approach
    • Sept. 5-9, Hong Kong
    • J. Shi and G.F. Moita, Finite element modelling of blood flow and blood vessel interaction - a first approach, in Proc. 1st Conf. on Flow Interaction, Sept. 5-9, Hong Kong.
    • Proc. 1st Conf. on Flow Interaction
    • Shi, J.1    Moita, G.F.2
  • 17
    • 0021121713 scopus 로고
    • A numerical analysis of contact and limit-point behavior in a class of problems of finite elastic deformation
    • E. Endo, J.T. Oden, E.B. Becker and T. Miller, A numerical analysis of contact and limit-point behavior in a class of problems of finite elastic deformation, J. Comput. Struct. 18 (1984) 899-910.
    • (1984) J. Comput. Struct. , vol.18 , pp. 899-910
    • Endo, E.1    Oden, J.T.2    Becker, E.B.3    Miller, T.4
  • 18
    • 0022807481 scopus 로고
    • The solution of multi-parameter systems of equations with application to problems in nonlinear elasticity
    • G.A. Duffett and B.D. Reddy, The solution of multi-parameter systems of equations with application to problems in nonlinear elasticity, Comput. Methods Appl. Mech. Engrg. 59 (1986) 179-213.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.59 , pp. 179-213
    • Duffett, G.A.1    Reddy, B.D.2
  • 20
    • 0025545205 scopus 로고
    • A fully non-linear axisymmetrical membrane element for rubber-like materials
    • P. Wriggers and R.L. Taylor, A fully non-linear axisymmetrical membrane element for rubber-like materials. Engrg. Comput. 7 (1990) 303-310.
    • (1990) Engrg. Comput. , vol.7 , pp. 303-310
    • Wriggers, P.1    Taylor, R.L.2
  • 21
    • 0027575532 scopus 로고
    • A consistent finite element formulation of non-linear elastic membrane with particular reference to rubberlike material
    • A. Ibrahimbegovic and F. Gruttmann, A consistent finite element formulation of non-linear elastic membrane with particular reference to rubberlike material, J. Finite Elem. Anal. Des. 12 (1993) 75-86.
    • (1993) J. Finite Elem. Anal. Des. , vol.12 , pp. 75-86
    • Ibrahimbegovic, A.1    Gruttmann, F.2
  • 23
    • 0021312293 scopus 로고
    • Displacement dependent pressure loads in nonlinear finite element analyses
    • K. Schweizerhof and E. Ramm, Displacement dependent pressure loads in nonlinear finite element analyses, Comput. Struct. 18 (1984) 1099-1114.
    • (1984) Comput. Struct. , vol.18 , pp. 1099-1114
    • Schweizerhof, K.1    Ramm, E.2
  • 24
    • 0018298166 scopus 로고
    • Some follower forces and load stiffness
    • H.D. Hibbit, Some follower forces and load stiffness, Int. J. Numer. Methods Engrg. 14 (1979) 937-941.
    • (1979) Int. J. Numer. Methods Engrg. , vol.14 , pp. 937-941
    • Hibbit, H.D.1
  • 26
    • 0001737632 scopus 로고
    • Large deformation isotropic elastic - On the correlation of theory and experiment for incompressible rubberlike solids
    • R.W. Ogden, Large deformation isotropic elastic - On the correlation of theory and experiment for incompressible rubberlike solids, Proc. R. Soc. Lond. A 326 (1972) 565-584.
    • (1972) Proc. R. Soc. Lond. A , vol.326 , pp. 565-584
    • Ogden, R.W.1
  • 27
    • 0015484025 scopus 로고
    • Application of Newton's method to the problem of elastic stability
    • E. Riks, Application of Newton's method to the problem of elastic stability, J. Appl. Mech., Trans. ASME 39 (1972) 1060-1065.
    • (1972) J. Appl. Mech., Trans. ASME , vol.39 , pp. 1060-1065
    • Riks, E.1
  • 28
    • 0021606008 scopus 로고
    • Some computational aspects of stability analysis of nonlinear structures
    • E. Riks, Some computational aspects of stability analysis of nonlinear structures, Comput. Methods Appl. Mech. Engrg. 47 (1984) 219-260.
    • (1984) Comput. Methods Appl. Mech. Engrg. , vol.47 , pp. 219-260
    • Riks, E.1
  • 30
    • 0025435062 scopus 로고
    • A study of incremental-iterative strategies for non-linear analyses
    • J.M. Clarke and G.J. Hancock, A study of incremental-iterative strategies for non-linear analyses, Int. J. Numer. Mech. Engrg. 29 (1990) 1365-1391.
    • (1990) Int. J. Numer. Mech. Engrg. , vol.29 , pp. 1365-1391
    • Clarke, J.M.1    Hancock, G.J.2
  • 31
    • 0030567050 scopus 로고
    • Computing critical points and secondary paths in nonlinear structural stability analysis by the finite element method
    • J. Shi, Computing critical points and secondary paths in nonlinear structural stability analysis by the finite element method, Comput. Struct. 58 (1995) 203-220.
    • (1995) Comput. Struct. , vol.58 , pp. 203-220
    • Shi, J.1
  • 32
    • 0003060538 scopus 로고
    • Bifurcation and stability, a numerical approach
    • W.K. Liu et al., eds., Pineridge Press, Swansea, UK
    • E. Riks, Bifurcation and stability, a numerical approach, in: W.K. Liu et al., eds., Innovative Methods for Nonlinear Problems (Pineridge Press, Swansea, UK, 1984) 313-344.
    • (1984) Innovative Methods for Nonlinear Problems , pp. 313-344
    • Riks, E.1
  • 33
    • 0024035027 scopus 로고
    • A simple method for the calculation of postcritical branches
    • W. Wagner and P. Wriggers, A simple method for the calculation of postcritical branches, Engrg. Comput. 5 (1988) 103.
    • (1988) Engrg. Comput. , vol.5 , pp. 103
    • Wagner, W.1    Wriggers, P.2
  • 34
    • 0024945162 scopus 로고
    • Tracing the equilibrium path beyond simple critical points
    • R. Kouhia and M. Mikkola, Tracing the equilibrium path beyond simple critical points, Int. J. Numer. Methods Engrg. 28 (1989) 2923-2941.
    • (1989) Int. J. Numer. Methods Engrg. , vol.28 , pp. 2923-2941
    • Kouhia, R.1    Mikkola, M.2
  • 35
    • 0027640920 scopus 로고
    • Review on methods of bifurcation analysis for geometrically nonlinear structures
    • K.K. Choong and Y. Hangai, Review on methods of bifurcation analysis for geometrically nonlinear structures, Bull. Int. Assoc. Shell and Spatial Struct. 34 (1993).
    • (1993) Bull. Int. Assoc. Shell and Spatial Struct. , vol.34
    • Choong, K.K.1    Hangai, Y.2
  • 36
    • 0043109677 scopus 로고
    • On equilibrium modes of a rubber spherical shell under internal pressure
    • V.I. Feodos'ev, On equilibrium modes of a rubber spherical shell under internal pressure, PMM 32 (1968) 339.
    • (1968) PMM , vol.32 , pp. 339
    • Feodos'ev, V.I.1
  • 37
    • 0042107810 scopus 로고
    • Some mechanical examples of catastrophy theory
    • M.J. Sewell, Some mechanical examples of catastrophy theory, Bull. Inst. Math. Appl. 12 (1976) 163.
    • (1976) Bull. Inst. Math. Appl. , vol.12 , pp. 163
    • Sewell, M.J.1


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