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Volumn 86, Issue 2, 2007, Pages 101-111

Limiting chain extensibility constitutive models of Valanis-Landel type

Author keywords

Constitutive model; Incompressible isotropic nonlinearly elastic materials; Limiting chain extensibility; Strain stiffening; Valanis Landel form

Indexed keywords

FUNCTIONS; MATERIALS SCIENCE; MATHEMATICAL MODELS; SHEAR DEFORMATION; STIFFNESS; TENSORS;

EID: 33846384593     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10659-006-9085-x     Document Type: Article
Times cited : (34)

References (26)
  • 1
    • 0002163820 scopus 로고    scopus 로고
    • A new constitutive relation for rubber
    • Gent, A.N.: A new constitutive relation for rubber. Rubber Chem. Technol. 69, 59-61 (1996)
    • (1996) Rubber Chem. Technol , vol.69 , pp. 59-61
    • Gent, A.N.1
  • 2
    • 0033300404 scopus 로고    scopus 로고
    • Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility
    • Horgan, C.O., Saccomandi, G.: Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility. J. Elast. 56, 159-170 (1999)
    • (1999) J. Elast , vol.56 , pp. 159-170
    • Horgan, C.O.1    Saccomandi, G.2
  • 3
    • 0033283327 scopus 로고    scopus 로고
    • Pure axial shear of isotropic incompressible nonlinearly elastic materials with limiting chain extensibility
    • Horgan, C.O., Saccomandi, G.: Pure axial shear of isotropic incompressible nonlinearly elastic materials with limiting chain extensibility. J. Elast. 57, 307-319 (1999)
    • (1999) J. Elast , vol.57 , pp. 307-319
    • Horgan, C.O.1    Saccomandi, G.2
  • 4
    • 0035343082 scopus 로고    scopus 로고
    • Pure azimuthal shear of isotropic incompressible hyperelastic materials with limiting chain extensibility
    • Horgan, C.O., Saccomandi, G.: Pure azimuthal shear of isotropic incompressible hyperelastic materials with limiting chain extensibility. Int. J. Nonlinear Mech. 36, 465-475 (2001)
    • (2001) Int. J. Nonlinear Mech , vol.36 , pp. 465-475
    • Horgan, C.O.1    Saccomandi, G.2
  • 5
    • 0000490740 scopus 로고    scopus 로고
    • Large deformations of a rotating solid cylinder for non-Gaussian isotropic, incompressible, hyperelastic materials
    • Horgan, C.O., Saccomandi, G.: Large deformations of a rotating solid cylinder for non-Gaussian isotropic, incompressible, hyperelastic materials. J. Appl. Mech. 68, 115-117 (2001)
    • (2001) J. Appl. Mech , vol.68 , pp. 115-117
    • Horgan, C.O.1    Saccomandi, G.2
  • 6
    • 10844278710 scopus 로고    scopus 로고
    • Antiplane shear deformations for non-Gaussian isotropic, incompressible, hyperelastic materials
    • Horgan, C.O., Saccomandi, G.: Antiplane shear deformations for non-Gaussian isotropic, incompressible, hyperelastic materials. Proc. R. Soc. Lond., A 457, 1999-2017 (2001)
    • (2001) Proc. R. Soc. Lond., A , vol.457 , pp. 1999-2017
    • Horgan, C.O.1    Saccomandi, G.2
  • 7
    • 0036695696 scopus 로고    scopus 로고
    • Constitutive modeling of rubber-like and biological materials with limiting chain extensibility
    • Horgan, C.O., Saccomandi, G.: Constitutive modeling of rubber-like and biological materials with limiting chain extensibility. Math. Mech. Solids 7, 353-371 (2002)
    • (2002) Math. Mech. Solids , vol.7 , pp. 353-371
    • Horgan, C.O.1    Saccomandi, G.2
  • 8
    • 0242653712 scopus 로고    scopus 로고
    • A molecular-statistical basis for the Gent constitutive model of rubber elasticity
    • Horgan, C.O., Saccomandi, G.: A molecular-statistical basis for the Gent constitutive model of rubber elasticity. J. Elast. 68, 167-176 (2002)
    • (2002) J. Elast , vol.68 , pp. 167-176
    • Horgan, C.O.1    Saccomandi, G.2
  • 9
    • 0242397056 scopus 로고    scopus 로고
    • A description of arterial wall mechanics using limiting chain extensibility constitutive models
    • Horgan, C.O., Saccomandi, G.: A description of arterial wall mechanics using limiting chain extensibility constitutive models. Biomech. Model. Mechanobiol. 1, 251-266 (2003)
    • (2003) Biomech. Model. Mechanobiol , vol.1 , pp. 251-266
    • Horgan, C.O.1    Saccomandi, G.2
  • 10
    • 0037409381 scopus 로고    scopus 로고
    • Finite thermoelasticity with limiting chain extensibility
    • Horgan, C.O., Saccomandi, G.: Finite thermoelasticity with limiting chain extensibility. J. Mech. Phys. Solids 51, 1127-1146 (2003)
    • (2003) J. Mech. Phys. Solids , vol.51 , pp. 1127-1146
    • Horgan, C.O.1    Saccomandi, G.2
  • 11
    • 33846343356 scopus 로고    scopus 로고
    • Horgan, C.O., Saccomandi, G.: Constitutive models for atactic elastomers. In: Monaco, R., Rionero, S., Ruggeri, T. (eds.) Proceedings of the Symposium on Waves and Stability in Continuous Media, (WASCOM 2003), Sardinia, Italy, pp. 281-293. World Scientific, Singapore (2004)
    • Horgan, C.O., Saccomandi, G.: Constitutive models for atactic elastomers. In: Monaco, R., Rionero, S., Ruggeri, T. (eds.) Proceedings of the Symposium on "Waves and Stability in Continuous Media", (WASCOM 2003), Sardinia, Italy, pp. 281-293. World Scientific, Singapore (2004)
  • 12
    • 84857471228 scopus 로고    scopus 로고
    • Horgan, C.O., Saccomandi, G.: Hyperelastic limiting chain extensibility constitutive models for rubber: a brief review. In: Austrell, P.-E., Kari, L. (eds.) Constitutive Models for Rubber IV, Proceedings of the 4th European Conference on Constitutive Models for Rubber, (ECCMR 2005), Stockholm, Sweden, pp. 607-617. Taylor and Francis, London (2005)
    • Horgan, C.O., Saccomandi, G.: Hyperelastic limiting chain extensibility constitutive models for rubber: a brief review. In: Austrell, P.-E., Kari, L. (eds.) Constitutive Models for Rubber IV, Proceedings of the 4th European Conference on "Constitutive Models for Rubber", (ECCMR 2005), Stockholm, Sweden, pp. 607-617. Taylor and Francis, London (2005)
  • 13
    • 33749014090 scopus 로고    scopus 로고
    • Phenomenological hyperelastic strain-stiffening constitutive models for rubber
    • Horgan, C.O., Saccomandi, G.: Phenomenological hyperelastic strain-stiffening constitutive models for rubber. Rubber Chem. Technol. 79, 152-169 (2006)
    • (2006) Rubber Chem. Technol , vol.79 , pp. 152-169
    • Horgan, C.O.1    Saccomandi, G.2
  • 14
    • 12344299555 scopus 로고    scopus 로고
    • Constitutive modeling and the trousers test for fracture of rubber-like materials
    • Horgan, C.O., Schwartz, J.G.: Constitutive modeling and the trousers test for fracture of rubber-like materials. J. Mech. Phys. Solids 53, 545-564 (2005)
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 545-564
    • Horgan, C.O.1    Schwartz, J.G.2
  • 15
    • 0034216714 scopus 로고    scopus 로고
    • Constitutive models of rubber elasticity: A review
    • Boyce, M.C., Arruda, E.M.: Constitutive models of rubber elasticity: a review. Rubber Chem. Technol. 73, 504-523 (2000)
    • (2000) Rubber Chem. Technol , vol.73 , pp. 504-523
    • Boyce, M.C.1    Arruda, E.M.2
  • 16
    • 24444471931 scopus 로고    scopus 로고
    • Elastic polymers with limiting chain extensibility
    • Preprint
    • Carroll, M.M.: Elastic polymers with limiting chain extensibility. Preprint (2001)
    • (2001)
    • Carroll, M.M.1
  • 17
    • 0014971364 scopus 로고
    • Viscoelastic properties of a rubber vulcanizate under large deformations in equal biaxial tension, pure shear and simple tension
    • Dickie, R.A., Smith, T.L.: Viscoelastic properties of a rubber vulcanizate under large deformations in equal biaxial tension, pure shear and simple tension. Trans. Soc. Rheol. 15, 91-110 (1971)
    • (1971) Trans. Soc. Rheol , vol.15 , pp. 91-110
    • Dickie, R.A.1    Smith, T.L.2
  • 18
    • 30344462659 scopus 로고    scopus 로고
    • Extensibility of rubber under different types of deformation
    • Gent, A.N.: Extensibility of rubber under different types of deformation. J. Rheol. 49, 271-275 (2005)
    • (2005) J. Rheol , vol.49 , pp. 271-275
    • Gent, A.N.1
  • 19
    • 33847133853 scopus 로고    scopus 로고
    • Some remarks on kinematic modelling of limiting chain extensibility
    • in press
    • Murphy, J.G.: Some remarks on kinematic modelling of limiting chain extensibility. Math. Mech. Solids (in press)
    • Math. Mech. Solids
    • Murphy, J.G.1
  • 20
    • 0000757497 scopus 로고
    • The strain-energy function of a hyperelastic material in terms of the extension ratios
    • Valanis, K.C., Landel, R.F.: The strain-energy function of a hyperelastic material in terms of the extension ratios. J. Appl. Phys. 38, 2997-3002 (1967)
    • (1967) J. Appl. Phys , vol.38 , pp. 2997-3002
    • Valanis, K.C.1    Landel, R.F.2
  • 21
    • 0004239893 scopus 로고
    • Ellis Horwood, Chichester , Reprinted by Dover, New York
    • Ogden, R.W.: Nonlinear elastic deformations. Ellis Horwood, Chichester (1984). Reprinted by Dover, New York (1997)
    • (1984) Nonlinear elastic deformations
    • Ogden, R.W.1
  • 22
    • 3543058107 scopus 로고    scopus 로고
    • The Valanis-Landel strain-energy function
    • Rivlin, R.S.: The Valanis-Landel strain-energy function. J. Elast. 73, 291-297 (2003)
    • (2003) J. Elast , vol.73 , pp. 291-297
    • Rivlin, R.S.1
  • 23
    • 29144529095 scopus 로고    scopus 로고
    • The relation between the Valanis-Landel and classical strain-energy functions
    • Rivlin, R.S.: The relation between the Valanis-Landel and classical strain-energy functions. Int. J. Nonlinear Mech. 41, 141-145 (2006)
    • (2006) Int. J. Nonlinear Mech , vol.41 , pp. 141-145
    • Rivlin, R.S.1
  • 24
    • 0010516983 scopus 로고    scopus 로고
    • Exact integrals and solutions for finite deformations of the incompressible Varga elastic materials
    • Fu, Y.B, Ogden, R.W, eds, Cambridge University Press, Cambridge
    • Hill, J.M.: Exact integrals and solutions for finite deformations of the incompressible Varga elastic materials. In: Fu, Y.B., Ogden, R.W. (eds.) Nonlinear Elasticity: Theory and Applications, pp. 160-200. Cambridge University Press, Cambridge (2001)
    • (2001) Nonlinear Elasticity: Theory and Applications , pp. 160-200
    • Hill, J.M.1
  • 25
    • 0024944658 scopus 로고
    • Void nucleation and growth for a class of incompressible nonlinearly elastic materials
    • Chou-Wang, M.S., Horgan, C.O.: Void nucleation and growth for a class of incompressible nonlinearly elastic materials. Int. J. Solids Struct 25, 1239-1254 (1989)
    • (1989) Int. J. Solids Struct , vol.25 , pp. 1239-1254
    • Chou-Wang, M.S.1    Horgan, C.O.2
  • 26
    • 0020548419 scopus 로고
    • Ordinary and strong ellipticity in the equilibrium theory of incompressible hyperelastic solids
    • Zee, L., Stemberg, E.: Ordinary and strong ellipticity in the equilibrium theory of incompressible hyperelastic solids. Arch. Ration Mech. Anal. 83, 53-90 (1983)
    • (1983) Arch. Ration Mech. Anal , vol.83 , pp. 53-90
    • Zee, L.1    Stemberg, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.