메뉴 건너뛰기




Volumn , Issue , 2005, Pages 381-385

Hyperelastic limiting chain extensibility constitutive models for rubber: A brief review

Author keywords

[No Author keywords available]

Indexed keywords

HYPER ELASTIC; LARGE STRAINS; LIMITING CHAIN EXTENSIBILITY; MOLECULAR LEVELS; RUBBERLIKE MATERIALS; SOFT TISSUE; STRAIN STIFFENING; THERMO-MECHANICS;

EID: 84857471228     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (9)

References (34)
  • 1
    • 0041097550 scopus 로고
    • A three dimensional constitutive model for the large deformation stretch behavior of rubber elastic materials
    • Arruda, E. M. & Boyce, M. C. 1993. A three dimensional constitutive model for the large deformation stretch behavior of rubber elastic materials. J. Mech. Phys. Solids 41: 389-412.
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 389-412
    • Arruda, E.M.1    Boyce, M.C.2
  • 2
    • 0035452973 scopus 로고    scopus 로고
    • Inhomogeneous shearing deformation of a rubber-like slab within the context of finite thermoelasticity with entropic origin for the stress
    • Bilgili, E., Bernstein, B. & Arastoopour, H. 2001. Inhomogeneous shearing deformation of a rubber-like slab within the context of finite thermoelasticity with entropic origin for the stress. Int. J. of NonLinear Mech. 36: 887-900.
    • (2001) Int. J. of NonLinear Mech. , vol.36 , pp. 887-900
    • Bilgili, E.1    Bernstein, B.2    Arastoopour, H.3
  • 3
    • 0037412249 scopus 로고    scopus 로고
    • Effect of material non-homogeneity on the inhomogeneous shearing deformation of a Gent slab subjected to a temperature gradient
    • Bilgili, E., Bernstein, B. & Arastoopour, H. 2003. Effect of material non-homogeneity on the inhomogeneous shearing deformation of a Gent slab subjected to a temperature gradient. Int. J. of NonLinear Mech. 38: 1351-1368.
    • (2003) Int. J. of NonLinear Mech. , vol.38 , pp. 1351-1368
    • Bilgili, E.1    Bernstein, B.2    Arastoopour, H.3
  • 4
    • 3042635457 scopus 로고    scopus 로고
    • Functional grading of rubber tubes within the context of a molecularly inspired finite thermoelastic model
    • Bilgili, E. 2004. Functional grading of rubber tubes within the context of a molecularly inspired finite thermoelastic model. Acta Mechanica 169: 79-85.
    • (2004) Acta Mechanica , vol.169 , pp. 79-85
    • Bilgili, E.1
  • 5
    • 0000353991 scopus 로고    scopus 로고
    • A new constitutive model for the compressibility of elastomers at finite deformations
    • Bischoff, J. E., Arruda, E. M. & Grosh, K. 2001. A new constitutive model for the compressibility of elastomers at finite deformations. Rubber Chem. and Tech. 74: 541-559.
    • (2001) Rubber Chem. and Tech. , vol.74 , pp. 541-559
    • Bischoff, J.E.1    Arruda, E.M.2    Grosh, K.3
  • 6
    • 0036739282 scopus 로고    scopus 로고
    • A microstructurally based orthotropic hyperelastic constitutive law
    • Bischoff, J. E., Arruda, E. M. & Grosh, K. 2002. A microstructurally based orthotropic hyperelastic constitutive law. J. of Applied Mechanics 69: 570-579.
    • (2002) J. of Applied Mechanics , vol.69 , pp. 570-579
    • Bischoff, J.E.1    Arruda, E.M.2    Grosh, K.3
  • 7
    • 0000989036 scopus 로고    scopus 로고
    • Direct comparison of the Gent and Arruda-Boyce constitutive models
    • Boyce, M. C. 1996. Direct comparison of the Gent and Arruda-Boyce constitutive models. Rubber Chem. and Tech., 69: 781-785.
    • (1996) Rubber Chem. and Tech. , vol.69 , pp. 781-785
    • Boyce, M.C.1
  • 8
    • 0034216714 scopus 로고    scopus 로고
    • Constitutive models of rubber elasticity: A review
    • Boyce, M. C. & Arruda, E. M. 2000. Constitutive models of rubber elasticity: a review. Rubber Chem. and Tech. 73: 504-523.
    • (2000) Rubber Chem. and Tech. , vol.73 , pp. 504-523
    • Boyce, M.C.1    Arruda, E.M.2
  • 9
    • 10044236803 scopus 로고    scopus 로고
    • Equivalence of the hart-smith model with arruda-boyce and gent formulations for rubber elasticity
    • Chagnon, G., Marckham, G., & Verron, E. 2004. Equivalence of the Hart-Smith model with Arruda-Boyce and Gent formulations for rubber elasticity. Rubber Chem. and Tech. 77: 724-735.
    • (2004) Rubber Chem. and Tech. , vol.77 , pp. 724-735
    • Chagnon, G.1    Marckham, G.2    Verron, E.3
  • 10
    • 0013231297 scopus 로고
    • Rubber elasticity: Basic concepts and behavior
    • J. E. Mark, B. Erman & F. R. Eirich (eds). San Diego: Academic Press
    • Gent, A. N. 1994. Rubber elasticity: basic concepts and behavior. In J. E. Mark, B. Erman & F. R. Eirich (eds) Science and Technology of Rubber (second edition): 1-22. San Diego: Academic Press.
    • (1994) Science and Technology of Rubber (Second Edition) , pp. 1-22
    • Gent, A.N.1
  • 11
    • 0002163820 scopus 로고    scopus 로고
    • A new constitutive relation for rubber
    • Gent, A. N. 1996. A new constitutive relation for rubber. Rubber Chem. and Tech. 69: 59-61.
    • (1996) Rubber Chem. and Tech. , vol.69 , pp. 59-61
    • Gent, A.N.1
  • 12
    • 0001581706 scopus 로고    scopus 로고
    • Elastic instabilities of inflated rubber shells
    • Gent, A. N. 1999. Elastic instabilities of inflated rubber shells. Rubber Chem. and Tech. 72: 263-268.
    • (1999) Rubber Chem. and Tech. , vol.72 , pp. 263-268
    • Gent, A.N.1
  • 13
    • 6344258584 scopus 로고    scopus 로고
    • Elastic instabilities in rubber
    • Gent, A. N. 2005. Elastic instabilities in rubber. Int. J. of Nonlinear Mechanics 40: 165-175.
    • (2005) Int. J. of Nonlinear Mechanics , vol.40 , pp. 165-175
    • Gent, A.N.1
  • 14
    • 0033300404 scopus 로고    scopus 로고
    • Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility
    • Horgan, C. O. & Saccomandi, G. 1999a. Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility. J. of Elasticity 56: 159-170.
    • (1999) J. of Elasticity , vol.56 , pp. 159-170
    • Horgan, C.O.1    Saccomandi, G.2
  • 15
    • 0033283327 scopus 로고    scopus 로고
    • Pure axial shear of isotropic incompressible nonlinearly elastic materials with limiting chain extensibility
    • Horgan, C. O. & Saccomandi, G. 1999b. Pure axial shear of isotropic incompressible nonlinearly elastic materials with limiting chain extensibility. J. of Elasticity 57: 307-319.
    • (1999) J. of Elasticity , vol.57 , pp. 307-319
    • Horgan, C.O.1    Saccomandi, G.2
  • 16
    • 0035343082 scopus 로고    scopus 로고
    • Pure azimuthal shear of isotropic, incompressible hyperelastic materials with limiting chain extensibility
    • Horgan, C. O. & Saccomandi, G. 2001a. Pure azimuthal shear of isotropic, incompressible hyperelastic materials with limiting chain extensibility. Int. J. of Nonlinear Mechanics 36: 465-475.
    • (2001) Int. J. of Nonlinear Mechanics , vol.36 , pp. 465-475
    • Horgan, C.O.1    Saccomandi, G.2
  • 17
    • 0000490740 scopus 로고    scopus 로고
    • Large deformations of a rotating solid cylinder for non-Gaussian isotropic, incompressible, hyperelastic materials
    • Horgan, C. O. & Saccomandi, G. 2001b. Large deformations of a rotating solid cylinder for non-Gaussian isotropic, incompressible, hyperelastic materials. J. Applied Mechanics 68: 115-117.
    • (2001) J. Applied Mechanics , vol.68 , pp. 115-117
    • Horgan, C.O.1    Saccomandi, G.2
  • 18
    • 10844278710 scopus 로고    scopus 로고
    • Antiplane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials
    • Horgan, C. O. & Saccomandi, G. 2001c. Antiplane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials. Proc. Roy. Soc. London A 457: 1999-2017.
    • (2001) Proc. Roy. Soc. London A , vol.457 , pp. 1999-2017
    • Horgan, C.O.1    Saccomandi, G.2
  • 19
    • 0036695696 scopus 로고    scopus 로고
    • Constitutive modelling of rubber-like and biological materials with limiting chain extensibility
    • Horgan, C. O. & Saccomandi, G. 2002a. Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Mathematics and Mechanics of Solids 7: 353-371.
    • (2002) Mathematics and Mechanics of Solids , vol.7 , pp. 353-371
    • Horgan, C.O.1    Saccomandi, G.2
  • 20
    • 0242653712 scopus 로고    scopus 로고
    • A molecular-statistical basis for the Gent model of rubber elasticity
    • Horgan, C. O. & Saccomandi, G. 2002b. A molecular-statistical basis for the Gent model of rubber elasticity. J. of Elasticity 68: 167-176.
    • (2002) J. of Elasticity , vol.68 , pp. 167-176
    • Horgan, C.O.1    Saccomandi, G.2
  • 22
    • 0242397056 scopus 로고    scopus 로고
    • A description of arterial wall mechanics using limiting chain extensibilty constitutive models
    • Horgan, C. O. & Saccomandi, G. 2003b. A description of arterial wall mechanics using limiting chain extensibilty constitutive models. Biomechanics and Modeling in Mechanobiology 1: 251-266.
    • (2003) Biomechanics and Modeling in Mechanobiology , vol.1 , pp. 251-266
    • Horgan, C.O.1    Saccomandi, G.2
  • 23
    • 0042921514 scopus 로고    scopus 로고
    • Helical shear for hardening generalized neo-Hookean elastic materials
    • Horgan, C. O. & Saccomandi, G. 2003c. Helical shear for hardening generalized neo-Hookean elastic materials. Mathematics and Mechanics of Solids 8: 539-559.
    • (2003) Mathematics and Mechanics of Solids , vol.8 , pp. 539-559
    • Horgan, C.O.1    Saccomandi, G.2
  • 24
    • 12344260558 scopus 로고    scopus 로고
    • Constitutive models for atactic elastomers
    • R. Monaco, S. Pennisi, S. Rionero & T. Ruggeri (eds). Singapore: World Scientific
    • Horgan, C. O. & Saccomandi, G. 2004. Constitutive models for atactic elastomers. In R. Monaco, S. Pennisi, S. Rionero & T. Ruggeri (eds), Proceedings of WASCOM 2003: 281-293. Singapore: World Scientific.
    • (2004) Proceedings of WASCOM 2003 , pp. 281-293
    • Horgan, C.O.1    Saccomandi, G.2
  • 25
    • 84857478047 scopus 로고    scopus 로고
    • Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility
    • in press
    • Horgan, C. O. & Saccomandi, G. 2005a. Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility. J. of Elasticity (in press).
    • (2005) J. of Elasticity
    • Horgan, C.O.1    Saccomandi, G.2
  • 26
    • 21844473053 scopus 로고    scopus 로고
    • A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids
    • in press
    • Horgan, C. O. & Saccomandi, G. 2005b. A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids Journal of the Mechanics and Physics of Solids (in press).
    • (2005) Journal of the Mechanics and Physics of Solids
    • Horgan, C.O.1    Saccomandi, G.2
  • 27
    • 12344299555 scopus 로고    scopus 로고
    • Constitutive modeling and the trousers test for fracture of rubber-like materials
    • Horgan, C. O. & Schwartz, J. G. 2005. Constitutive modeling and the trousers test for fracture of rubber-like materials. Journal of the Mechanics and Physics of Solids 53: 545-564.
    • (2005) Journal of the Mechanics and Physics of Solids , vol.53 , pp. 545-564
    • Horgan, C.O.1    Schwartz, J.G.2
  • 28
    • 0036588812 scopus 로고    scopus 로고
    • A twopoint boundary-value problem for the axial shear of hardening isotropic incompressible nonlinearly elastic materials
    • Horgan, C. O., Saccomandi, G. & Sgura, I. 2002. A twopoint boundary-value problem for the axial shear of hardening isotropic incompressible nonlinearly elastic materials. SIAM J. Appl. Math. 62: 1712-1727.
    • (2002) SIAM J. Appl. Math. , vol.62 , pp. 1712-1727
    • Horgan, C.O.1    Saccomandi, G.2    Sgura, I.3
  • 29
    • 2542630318 scopus 로고    scopus 로고
    • A theory of stress softening of elastomers based on finite chain extensibility
    • Horgan, C. O., Ogden, R.W. & Saccomandi, G. 2004. A theory of stress softening of elastomers based on finite chain extensibility, Proc. Roy. Soc. London A 460: 1737-1754.
    • (2004) Proc. Roy. Soc. London A , vol.460 , pp. 1737-1754
    • Horgan, C.O.1    Ogden, R.W.2    Saccomandi, G.3
  • 30
    • 0017542772 scopus 로고
    • The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids
    • Knowles, J. K. 1977. The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids. Int. J. of Fracture 13: 611-639.
    • (1977) Int. J. of Fracture , vol.13 , pp. 611-639
    • Knowles, J.K.1
  • 31
    • 0003791412 scopus 로고
    • Chichester: Ellis Horwood (Reprinted by Dover, New York)
    • Ogden, R. W. 1984. Non-linear Elastic Deformations. Chichester: Ellis Horwood (Reprinted by Dover, New York, 1997).
    • (1984) Non-linear Elastic Deformations , vol.1997
    • Ogden, R.W.1
  • 33
    • 0003211022 scopus 로고    scopus 로고
    • A note on the Gent model for rubber-like materials
    • Pucci, E. & Saccomandi, G. 2002. A note on the Gent model for rubber-like materials. Rubber Chemistry and Technology 75: 839-851.
    • (2002) Rubber Chemistry and Technology , vol.75 , pp. 839-851
    • Pucci, E.1    Saccomandi, G.2
  • 34
    • 0031221585 scopus 로고    scopus 로고
    • A new attempt to reconcile the statistical and phenomenological theories of rubber elasticity
    • Yeoh, O. H. & Fleming, P. D. 1997. A new attempt to reconcile the statistical and phenomenological theories of rubber elasticity. J. Polymer Sci. Part B: Polym. Phys. 35: 1919-1931.
    • (1997) J. Polymer Sci. Part B: Polym. Phys. , vol.35 , pp. 1919-1931
    • Yeoh, O.H.1    Fleming, P.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.