메뉴 건너뛰기




Volumn 11, Issue 2-4, 2002, Pages 479-492

Instability and bifurcation in inflation of hyperelastic membranes;Instabilité et bifurcation du soufflage de membranes hyperélastiques

Author keywords

Bifurcation; Hyperelasticity; Inflation; Instability; Membranes

Indexed keywords

ELASTICITY; LINEAR STABILITY ANALYSIS; MEMBRANES; PLASMA STABILITY;

EID: 33749421561     PISSN: 12506559     EISSN: None     Source Type: Journal    
DOI: 10.3166/reef.11.479-492     Document Type: Article
Times cited : (2)

References (20)
  • 1
    • 0015003662 scopus 로고
    • The tensile instability of initially spherical balloons
    • ALEXANDER H., «The tensile instability of initially spherical balloons», Int. J. Engng Sci., Vol. 9, 1971, p. 151-162.
    • (1971) Int. J. Engng Sci. , vol.9 , pp. 151-162
    • Alexander, H.1
  • 2
    • 84986947157 scopus 로고
    • Incremental displacement algorithms for nonlinear problems
    • BATOZ J. L., DHATT G., «Incremental displacement algorithms for nonlinear problems», Int. J. Num. Meth. Engng, Vol. 14, 1979, p. 1262-1267.
    • (1979) Int. J. Num. Meth. Engng , vol.14 , pp. 1262-1267
    • Batoz, J.L.1    Dhatt, G.2
  • 3
    • 33749072614 scopus 로고
    • Topics in finite elasticity: Hyperelasticity of rubber, elastomers, and biological tissues - With examples
    • BEATTY M. F., «Topics in finite elasticity: hyperelasticity of rubber, elastomers, and biological tissues - with examples», Appl. Mech. Rev., Vol. 40, no 12, 1987, p. 1699-1734.
    • (1987) Appl. Mech. Rev. , vol.40 , Issue.12 , pp. 1699-1734
    • Beatty, M.F.1
  • 4
    • 0001241978 scopus 로고
    • Free and constrained inflation of elastic membranes in relation to thermoforming - Axisymmetric problems
    • CHARRIER J. M., SHRIVASTAVA S., WU R., «Free and constrained inflation of elastic membranes in relation to thermoforming - Axisymmetric problems», J. Strain Analysis, Vol. 22, no 2, 1987, p. 115-125.
    • (1987) J. Strain Analysis , vol.22 , Issue.2 , pp. 115-125
    • Charrier, J.M.1    Shrivastava, S.2    Wu, R.3
  • 5
    • 0022807481 scopus 로고
    • The solution of multi-parameter systems of equations with application to problems in nonlinear elasticity
    • DUFFET G. A., REDDY B. D., «The solution of multi-parameter systems of equations with application to problems in nonlinear elasticity», Comp. Meth. Appl. Mech. Engng, Vol. 59, 1986, p. 179-213.
    • (1986) Comp. Meth. Appl. Mech. Engng , vol.59 , pp. 179-213
    • Duffet, G.A.1    Reddy, B.D.2
  • 7
    • 0019164621 scopus 로고
    • Post-bifurcation of perfect and imperfect spherical elastic membranes
    • HAUGHTON D. M., «Post-bifurcation of perfect and imperfect spherical elastic membranes», Int. J. Solids Structures, Vol. 16, 1980, p. 1123-1133.
    • (1980) Int. J. Solids Structures , vol.16 , pp. 1123-1133
    • Haughton, D.M.1
  • 8
    • 0028671778 scopus 로고
    • Identification of response functions from axisymmetric membrane inflation tests: Implications for biomechanics
    • HSU F. P. K., SCHWAB C, RIGAMONTI D., HUMPHREY J. D., «Identification of response functions from axisymmetric membrane inflation tests: implications for biomechanics», Int. J. Solids Struct, Vol. 31, no 24, 1994, p. 3375-3386.
    • (1994) Int. J. Solids Struct , vol.31 , Issue.24 , pp. 3375-3386
    • Hsu, F.P.K.1    Schwab, C.2    Rigamonti, D.3    Humphrey, J.D.4
  • 9
    • 0026561553 scopus 로고
    • Inflation of an elastic cylindrical membrane: Non-linear deformation and instability
    • KHAYAT R. E., DERDOURI A., GARCIA-REJON A., «Inflation of an elastic cylindrical membrane: non-linear deformation and instability», Int. J. Solids Structures, Vol. 29, no 1, 1992, p. 69-87.
    • (1992) Int. J. Solids Structures , vol.29 , Issue.1 , pp. 69-87
    • Khayat, R.E.1    Derdouri, A.2    Garcia-Rejon, A.3
  • 10
    • 0028547799 scopus 로고
    • Inflation of hyperelastic cylindrical membranes as applied to blow moulding. Part I. Axisymmetric case
    • KHAYAT R. E., DERDOURI A., «Inflation of hyperelastic cylindrical membranes as applied to blow moulding. part I. axisymmetric case», Int. J. Num. Meth. Eng, Vol. 37, 1994, p. 3773-3791.
    • (1994) Int. J. Num. Meth. Eng , vol.37 , pp. 3773-3791
    • Khayat, R.E.1    Derdouri, A.2
  • 11
    • 0025792488 scopus 로고
    • The initiation and propagation of a localized instability in an inflated elastic tube
    • KYRIAKIDES S., CHANG Y., «The initiation and propagation of a localized instability in an inflated elastic tube», Int. J. Solids Struct, Vol. 27, no 9, 1991, p. 1085-1111.
    • (1991) Int. J. Solids Struct , vol.27 , Issue.9 , pp. 1085-1111
    • Kyriakides, S.1    Chang, Y.2
  • 12
    • 0035278842 scopus 로고    scopus 로고
    • Finite element analysis of blow molding and thermoforming using a dynamic explicit procedure
    • MARCKMANN G., VERRON E., PESEUX B., «Finite element analysis of blow molding and thermoforming using a dynamic explicit procedure», Polym. Eng. Sci., Vol. 41, no 3, 2001, p. 426-439.
    • (2001) Polym. Eng. Sci. , vol.41 , Issue.3 , pp. 426-439
    • Marckmann, G.1    Verron, E.2    Peseux, B.3
  • 13
    • 0017415419 scopus 로고
    • Inflation of spherical rubber balloons
    • NEEDLEMAN A., «Inflation of spherical rubber balloons», Int. J. Solids Structures, Vol. 13, 1977, p. 409-421.
    • (1977) Int. J. Solids Structures , vol.13 , pp. 409-421
    • Needleman, A.1
  • 14
    • 0029289617 scopus 로고
    • A finite element method for stability problems in finite elasticity
    • REESE S., WRIGGERS P., «A finite element method for stability problems in finite elasticity», Int. J. Num. Meth. Eng., Vol. 38, 1995, p. 1171-1200.
    • (1995) Int. J. Num. Meth. Eng. , vol.38 , pp. 1171-1200
    • Reese, S.1    Wriggers, P.2
  • 15
    • 0030243060 scopus 로고    scopus 로고
    • The post-critical analysis of axisymmetric hyper-elastic membranes by the finite element method
    • SHI J., MOITA G. F.,«The post-critical analysis of axisymmetric hyper-elastic membranes by the finite element method», Comput. Methods Appl. Mech. Engng, Vol. 135, 1996, p. 265-281.
    • (1996) Comput. Methods Appl. Mech. Engng , vol.135 , pp. 265-281
    • Shi, J.1    Moita, G.F.2
  • 16
    • 0030651589 scopus 로고    scopus 로고
    • Some experiences in the equilibrium path determination
    • SOKOL T., WITKOWSKI M., «Some experiences in the equilibrium path determination», Comput. Assist. Mech. EngngSci., Vol. 4, 1997, p. 189-208.
    • (1997) Comput. Assist. Mech. EngngSci. , vol.4 , pp. 189-208
    • Sokol, T.1    Witkowski, M.2
  • 17
    • 0001001032 scopus 로고    scopus 로고
    • Dynamic inflation of hyper-elastic spherical membranes
    • A. A. D.
    • VERRON E., KHAYAT R. E., A. A. D., PESEUX B., «Dynamic inflation of hyper-elastic spherical membranes», J. Rheol, Vol. 43, no 5, 1999, p. 1083-1097.
    • (1999) J. Rheol , vol.43 , Issue.5 , pp. 1083-1097
    • Verron, E.1    Khayat, R.E.2    Peseux, B.3
  • 18
    • 0035860254 scopus 로고    scopus 로고
    • An axisymmetric B-spline model for the nonlinear inflation of rubberlike membranes
    • VERRON E., MARCKMANN G., «An axisymmetric B-spline model for the nonlinear inflation of rubberlike membranes», Comput. Meth. Appl. Mech. Engng, Vol. 190, no 46-47, 2001, p. 6271-6289.
    • (2001) Comput. Meth. Appl. Mech. Engng , vol.190 , Issue.46-47 , pp. 6271-6289
    • Verron, E.1    Marckmann, G.2
  • 19
    • 0035916157 scopus 로고    scopus 로고
    • Dynamic inflation of non-linear elastic and viscoelastic rubberlike membranes
    • VERRON E., MARCKMANN G., PESEUX B., «Dynamic inflation of non-linear elastic and viscoelastic rubberlike membranes», Int. J. Num. Meth. Engng, Vol. 50, no 5, 2001, p. 1233-1251.
    • (2001) Int. J. Num. Meth. Engng , vol.50 , Issue.5 , pp. 1233-1251
    • Verron, E.1    Marckmann, G.2    Peseux, B.3
  • 20
    • 0014894087 scopus 로고
    • On axisymmetrical deformations of nonlinear membranes
    • YANG W. H., FENG W. W., «On axisymmetrical deformations of nonlinear membranes», J. Appl. Mech. ASME, Vol. 37, 1970, p. 1002-1011.
    • (1970) J. Appl. Mech. ASME , vol.37 , pp. 1002-1011
    • Yang, W.H.1    Feng, W.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.