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Volumn 4, Issue 1, 1999, Pages 109-133

An analysis of the linearized equations for axisymmetric deformations of hyperelastic cylinders

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONTINUUM MECHANICS; CYLINDERS (SHAPES); EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; LINEARIZATION; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0033101231     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659900400107     Document Type: Article
Times cited : (5)

References (22)
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  • 2
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    • Buckled states of nonlinearly elastic plates
    • Antman, S. S.: Buckled states of nonlinearly elastic plates. Arch. Rat. Mech. Anal., 67, 111-149 (1978).
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    • Regular and singular problems for large elastic deformations of tubes, wedges, and cylinders
    • Antman, S. S.: Regular and singular problems for large elastic deformations of tubes, wedges, and cylinders. Arch. Rat. Mech. Anal., 83, 1-52 (1983).
    • (1983) Arch. Rat. Mech. Anal. , vol.83 , pp. 1-52
    • Antman, S.S.1
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    • Global properties of buckled states of plates that can suffer thickness changes
    • Antman, S. S.: Global properties of buckled states of plates that can suffer thickness changes. Arch. Rat. Mech. Anal., 110, 103-117 (1990).
    • (1990) Arch. Rat. Mech. Anal. , vol.110 , pp. 103-117
    • Antman, S.S.1
  • 5
    • 0017480992 scopus 로고
    • Shear and necking instabilities in nonlinear elasticity
    • Antman, S. S. and Carbone, E. R.: Shear and necking instabilities in nonlinear elasticity. J. Elasticity, 7, 125-151 (1977).
    • (1977) J. Elasticity , vol.7 , pp. 125-151
    • Antman, S.S.1    Carbone, E.R.2
  • 6
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    • Some experiments on the elastic stability of highly elastic bodies
    • Beatty, M. F. and Dadras, D.: Some experiments on the elastic stability of highly elastic bodies. Int. J. Engineering Science, 14, 233-238 (1976).
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    • Beatty, M.F.1    Dadras, D.2
  • 7
    • 0009809170 scopus 로고
    • Some experiments in the stability of circular rubber bars under end thrust
    • Beatty, M. F. and Hook, D. E.: Some experiments in the stability of circular rubber bars under end thrust. Int. J. Solids Structures, 4, 623-635 (1968).
    • (1968) Int. J. Solids Structures , vol.4 , pp. 623-635
    • Beatty, M.F.1    Hook, D.E.2
  • 8
    • 25644459975 scopus 로고
    • Buckling and barreling instabilities on nonlinearly elastic columns
    • Davies, P. J.: Buckling and barreling instabilities on nonlinearly elastic columns. Q. Appl. Math., 8, 88-100 (1991).
    • (1991) Q. Appl. Math. , vol.8 , pp. 88-100
    • Davies, P.J.1
  • 13
    • 0001809732 scopus 로고
    • Singular bifurcation problems for the buckling of anisotropic plates
    • Negrón-Marrero, P. V. and Antman, S. S.: Singular bifurcation problems for the buckling of anisotropic plates. Proc. Roy. Soc. London A, 427, 95-137 (1990).
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  • 14
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    • Novel stability patterns for the necking of plates in tension: A numerical study
    • Negrón-Marrero, P. V. and Santiago-Figueroa, B.: Novel stability patterns for the necking of plates in tension: A numerical study. Applied Numerical Mathematics, 13, 491-512 (1994).
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    • Negrón-Marrero, P.V.1    Santiago-Figueroa, B.2
  • 16
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    • Existence and stability of necking deformations for nonlinearly elastic rods
    • Owen, N.: Existence and stability of necking deformations for nonlinearly elastic rods. Arch. Rat. Mech. Anal., 98, 357-383 (1987).
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    • Qualitative properties of large buckled states of spherical shells
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  • 22
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.