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Volumn 52, Issue 2, 1998, Pages 129-158

Plane deformations in incompressible nonlinear elasticity

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; STRESS ANALYSIS;

EID: 0032285548     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007554719617     Document Type: Article
Times cited : (6)

References (24)
  • 1
    • 0002555514 scopus 로고    scopus 로고
    • Introduction to nonlinear elasticity
    • M.M Carroll and M.A. Hayes (eds), Plenum, New York
    • M.F. Beatty, Introduction to nonlinear elasticity. In: M.M Carroll and M.A. Hayes (eds), Nonlinear Effects in Fluids and Solids, Plenum, New York (1996).
    • (1996) Nonlinear Effects in Fluids and Solids
    • Beatty, M.F.1
  • 2
    • 0004881312 scopus 로고
    • On Ericksen's problem for plane deformations with uniform transverse stretch
    • R.L. Fosdick and K.W. Schuler, On Ericksen's problem for plane deformations with uniform transverse stretch, Int. J. Engng. Sci. 7 (1969) 217-233.
    • (1969) Int. J. Engng. Sci. , vol.7 , pp. 217-233
    • Fosdick, R.L.1    Schuler, K.W.2
  • 3
    • 0343276674 scopus 로고
    • Statically possible radially symmetric deformations in isotropic, incompressible elastic solids
    • R.L. Fosdick, Statically possible radially symmetric deformations in isotropic, incompressible elastic solids, ZAMP 22 (1971) 590-607.
    • (1971) ZAMP , vol.22 , pp. 590-607
    • Fosdick, R.L.1
  • 4
    • 0038213121 scopus 로고
    • Partial solutions of finite elasticity - Plane deformations
    • J.M. Hill, Partial solutions of finite elasticity - plane deformations, ZAMP 24 (1973) 401-408.
    • (1973) ZAMP , vol.24 , pp. 401-408
    • Hill, J.M.1
  • 5
    • 0342487911 scopus 로고
    • Partial solutions of finite elasticity - Axially symmetric deformations
    • J.M. Hill, Partial solutions of finite elasticity - axially symmetric deformations, ZAMP 24 (1973) 409-418.
    • (1973) ZAMP , vol.24 , pp. 409-418
    • Hill, J.M.1
  • 6
    • 0343793102 scopus 로고
    • Partial solutions of finite elasticity - Three dimensional deformations
    • J.M. Hill, Partial solutions of finite elasticity - three dimensional deformations, ZAMP 24 (1973) 609-618.
    • (1973) ZAMP , vol.24 , pp. 609-618
    • Hill, J.M.1
  • 7
    • 0343357284 scopus 로고
    • Partial 3-dimensional deformations for the perfectly elastic Mooney material
    • J.M. Hill and A.I. Lee, Partial 3-dimensional deformations for the perfectly elastic Mooney material, ZAMP 40 (1989) 128-132.
    • (1989) ZAMP , vol.40 , pp. 128-132
    • Hill, J.M.1    Lee, A.I.2
  • 8
    • 0031131350 scopus 로고    scopus 로고
    • On non-symmetric deformations of an incompressible nonlinearly elastic isotropic sphere
    • D.A. Polignone Warne and P.G. Warne, On non-symmetric deformations of an incompressible nonlinearly elastic isotropic sphere, J. Elasticity 47 (1997) 85-100.
    • (1997) J. Elasticity , vol.47 , pp. 85-100
    • Polignone Warne, D.A.1    Warne, P.G.2
  • 9
    • 0032291698 scopus 로고    scopus 로고
    • On non-symmetric deformations of neo-Hookean solids
    • D.A. Polignone Warne and P.G. Warne, On non-symmetric deformations of neo-Hookean solids, J. Elasticity 50 (1998) 209-225.
    • (1998) J. Elasticity , vol.50 , pp. 209-225
    • Polignone Warne, D.A.1    Warne, P.G.2
  • 10
    • 0011546739 scopus 로고
    • Finite plane strain tangential spreading of a radially cracked infinitely long incompressible rubber log by a radially rigid bonded wedge-shaped bellows
    • Oxford: Pergamon
    • P.J. Blatz and W.L. Ko, Finite plane strain tangential spreading of a radially cracked infinitely long incompressible rubber log by a radially rigid bonded wedge-shaped bellows, Developments in Theoretical and Applied Mechanics 2 (1965) 165-179. Oxford: Pergamon.
    • (1965) Developments in Theoretical and Applied Mechanics , vol.2 , pp. 165-179
    • Blatz, P.J.1    Ko, W.L.2
  • 11
    • 0025545708 scopus 로고
    • Some integrable and exact similarity solutions for plane finite elastic deformations
    • J.M. Hill, Some integrable and exact similarity solutions for plane finite elastic deformations, IMA J. Appl. Math. 44 (1990) 111-126.
    • (1990) IMA J. Appl. Math. , vol.44 , pp. 111-126
    • Hill, J.M.1
  • 12
    • 0025635386 scopus 로고
    • Non-homogeneous deformations in a wedge of Mooney-Rivlin material
    • D. Fu, K.R. Rajagopal, and A.Z. Szeri, Non-homogeneous deformations in a wedge of Mooney-Rivlin material, Int. J. Non-linear Mech. 25 (1990) 375-387.
    • (1990) Int. J. Non-linear Mech. , vol.25 , pp. 375-387
    • Fu, D.1    Rajagopal, K.R.2    Szeri, A.Z.3
  • 13
    • 0026680172 scopus 로고
    • Inhomogeneous deformation of non-linearly elastic wedges
    • K.R. Rajagopal, and M.M. Carroll, Inhomogeneous deformation of non-linearly elastic wedges, Int. J. Solids Structures 29 (1992) 735-744.
    • (1992) Int. J. Solids Structures , vol.29 , pp. 735-744
    • Rajagopal, K.R.1    Carroll, M.M.2
  • 14
    • 0026886787 scopus 로고
    • On an inhomogeneous deformation of a generalized Neo-Hookean material
    • K.R. Rajagopal, and L. Tao, On an inhomogeneous deformation of a generalized Neo-Hookean material, J. Elasticity 28 (1992) 165-184.
    • (1992) J. Elasticity , vol.28 , pp. 165-184
    • Rajagopal, K.R.1    Tao, L.2
  • 15
    • 0004620848 scopus 로고
    • An approximate load-deflection relation for a long half-cylindrical tube compressed between parallel plates
    • J.M. Hill, An approximate load-deflection relation for a long half-cylindrical tube compressed between parallel plates, ZAMP 28 (1977) 169-175.
    • (1977) ZAMP , vol.28 , pp. 169-175
    • Hill, J.M.1
  • 16
    • 0343190128 scopus 로고
    • New families of exact solutions for finitely deformed incompressible elastic materials
    • J.M. Hill and D.J. Arrigo, New families of exact solutions for finitely deformed incompressible elastic materials, IMA J. Appl. Math. 54 (1995) 109-123.
    • (1995) IMA J. Appl. Math. , vol.54 , pp. 109-123
    • Hill, J.M.1    Arrigo, D.J.2
  • 17
    • 0030173943 scopus 로고    scopus 로고
    • Transformations and equation reductions in finite elasticity I: Plane strain deformations
    • J.M. Hill and D.J. Arrigo, Transformations and equation reductions in finite elasticity I: Plane strain deformations, Math. and Mech. of Solids 1 (1996) 155-175.
    • (1996) Math. and Mech. of Solids , vol.1 , pp. 155-175
    • Hill, J.M.1    Arrigo, D.J.2
  • 18
    • 0030164731 scopus 로고    scopus 로고
    • Transformations and equation reductions in finite elasticity II: Plane stress and axially symmetric deformations
    • J.M. Hill and D.J. Arrigo, Transformations and equation reductions in finite elasticity II: Plane stress and axially symmetric deformations, Math. and Mech. of Solids 1 (1996) 177-192.
    • (1996) Math. and Mech. of Solids , vol.1 , pp. 177-192
    • Hill, J.M.1    Arrigo, D.J.2
  • 19
    • 0019909357 scopus 로고
    • Reduced equilibrium equations for perfectly elastic materials
    • J.M. Hill, Reduced equilibrium equations for perfectly elastic materials, J. Elasticity 12 (1982) 153-158.
    • (1982) J. Elasticity , vol.12 , pp. 153-158
    • Hill, J.M.1
  • 20
    • 0002565890 scopus 로고
    • The nonlinear field theories of mechanics
    • S. Flügge (ed.), Springer, Berlin
    • C. Truesdell and W. Noll, The nonlinear field theories of mechanics. In: S. Flügge (ed.), Handbach der Physik, III/3. Springer, Berlin (1965).
    • (1965) Handbach der Physik , vol.3 , Issue.3
    • Truesdell, C.1    Noll, W.2
  • 23
    • 0019902788 scopus 로고
    • Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
    • Ball, J.M., Discontinuous equilibrium solutions and cavitation in nonlinear elasticity, Phil. Trans. R. Soc. Lond., A 306 (1982), 557-610.
    • (1982) Phil. Trans. R. Soc. Lond., A , vol.306 , pp. 557-610
    • Ball, J.M.1
  • 24
    • 84997133578 scopus 로고    scopus 로고
    • Cavitation in nonlinearly elastic solids: A review
    • Horgan, C.O. and Polignone, D.A., Cavitation in nonlinearly elastic solids: a review, Appl. Mech. Rev. 48 (1996) 471-485.
    • (1996) Appl. Mech. Rev. , vol.48 , pp. 471-485
    • Horgan, C.O.1    Polignone, D.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.