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Volumn 38, Issue , 2013, Pages 144-151

A hyperelastic constitutive model for rubber-like materials

Author keywords

Hyperelasticity; Rubber like materials; Strain energy function

Indexed keywords

STRAIN ENERGY;

EID: 84870702196     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2012.09.010     Document Type: Article
Times cited : (179)

References (41)
  • 1
    • 33646185383 scopus 로고    scopus 로고
    • Nonlinear dependence of viscosity in modeling the rate-dependent response of natural and high damping rubbers in compression and shear: Experimental identification and numerical verification
    • Amin, A. F. M. S., Lion, A., Sekita, S., Okui, Y., 2006. Nonlinear dependence of viscosity in modeling the rate-dependent response of natural and high damping rubbers in compression and shear: experimental identification and numerical verification. International Journal of Plasticity 22, 1610-1657.
    • (2006) International Journal of Plasticity , vol.22 , pp. 1610-1657
    • Amin, A.F.M.S.1    Lion, A.2    Sekita, S.3    Okui, Y.4
  • 2
    • 0041097550 scopus 로고
    • A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
    • Arruda, E. M., Boyce, M. C., 1993. A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. Journal of the Mechanics and Physics of Solids 41, 389-412.
    • (1993) Journal of the Mechanics and Physics of Solids , vol.41 , pp. 389-412
    • Arruda, E.M.1    Boyce, M.C.2
  • 3
    • 27844440792 scopus 로고    scopus 로고
    • Hyperelastic constitutive model for rubber-like materials based on the first seth strain measures invariant
    • Bechir, H., Chevalier, L., Chaouche, M., Boufala, K., 2006. Hyperelastic constitutive model for rubber-like materials based on the first seth strain measures invariant. European Journal of Mechanics e A/Solids 25, 110-124.
    • (2006) European Journal of Mechanics e A/Solids , vol.25 , pp. 110-124
    • Bechir, H.1    Chevalier, L.2    Chaouche, M.3    Boufala, K.4
  • 4
    • 34547237683 scopus 로고    scopus 로고
    • Modeling hyperelastic behavior of rubber: A novel invariant-based and a review of constitutive models
    • Beda, T., 2007. Modeling hyperelastic behavior of rubber: a novel invariant-based and a review of constitutive models. Journal of Polymer Science Part B: Polymer Physics 45, 1713-1732.
    • (2007) Journal of Polymer Science Part B: Polymer Physics , vol.45 , pp. 1713-1732
    • Beda, T.1
  • 5
    • 0032066417 scopus 로고    scopus 로고
    • Constitutive modeling of the large strain timedependent behavior of elastomers
    • Bergstrom, J. S., Boyce, M. C., 1998. Constitutive modeling of the large strain timedependent behavior of elastomers. Journal of the Mechanics and Physics of Solids 46, 931-954.
    • (1998) Journal of the Mechanics and Physics of Solids , vol.46 , pp. 931-954
    • Bergstrom, J.S.1    Boyce, M.C.2
  • 6
    • 0000989036 scopus 로고    scopus 로고
    • Direct comparison of the gent and the arruda-boyce constitutive models of rubber elasticity
    • Boyce, M., 1996. Direct comparison of the gent and the arruda-boyce constitutive models of rubber elasticity. Rubber Chemistry and Technology 69, 781-785.
    • (1996) Rubber Chemistry and Technology , vol.69 , pp. 781-785
    • Boyce, M.1
  • 7
    • 0034216714 scopus 로고    scopus 로고
    • Constitutive models of rubber elasticity: A review
    • Boyce, M., Arruda, E., 2000. Constitutive models of rubber elasticity: a review. Rubber Chemistry and Technology 73, 505-523.
    • (2000) Rubber Chemistry and Technology , vol.73 , pp. 505-523
    • Boyce, M.1    Arruda, E.2
  • 8
    • 84889845614 scopus 로고    scopus 로고
    • Polymer engineering science and viscoelasticity: An introduction
    • Brinson, H., Brinson, L., 2008. Polymer Engineering Science and Viscoelasticity: an Introduction. Springer Verlag.
    • (2008) Springer Verlag
    • Brinson, H.1    Brinson, L.2
  • 9
    • 84981803919 scopus 로고
    • Molecular basis for the Mullins effect
    • Bueche, F., 1960. Molecular basis for the Mullins effect. Journal of Applied Polymer Science 4, 107-114.
    • (1960) Journal of Applied Polymer Science , vol.4 , pp. 107-114
    • Bueche, F.1
  • 10
    • 10044236803 scopus 로고    scopus 로고
    • A comparison of the hart-smith model with arruda-boyce and gent formulations for rubber elasticity
    • Chagnon, G., 2004. A comparison of the hart-smith model with arruda-boyce and gent formulations for rubber elasticity. Rubber Chemistry and Technology 77, 724-735.
    • (2004) Rubber Chemistry and Technology , vol.77 , pp. 724-735
    • Chagnon, G.1
  • 12
    • 33748979562 scopus 로고    scopus 로고
    • Development of new constitutive equations for the Mullins effect in rubber using the network alteration theory
    • Chagnon, G., Verron, E., Marckmann, G., Gornet, L., 2006. Development of new constitutive equations for the Mullins effect in rubber using the network alteration theory. International Journal of Solids and Structures 43, 6817-6831.
    • (2006) International Journal of Solids and Structures , vol.43 , pp. 6817-6831
    • Chagnon, G.1    Verron, E.2    Marckmann, G.3    Gornet, L.4
  • 13
    • 84898033715 scopus 로고    scopus 로고
    • Hyperelastic materials behavior modeling using consistent strain energy density functions
    • Darijani, H., Naghdabadi, R., 2010. Hyperelastic materials behavior modeling using consistent strain energy density functions. Acta Mechanica 213, 235-254.
    • (2010) Acta Mechanica , vol.213 , pp. 235-254
    • Darijani, H.1    Naghdabadi, R.2
  • 15
    • 0015331409 scopus 로고
    • A note on the elasticity of soft biological tissues
    • Demiray, H., 1972. A note on the elasticity of soft biological tissues. Journal of Biomechanics 5, 309-311.
    • (1972) Journal of Biomechanics , vol.5 , pp. 309-311
    • Demiray, H.1
  • 16
    • 33646770347 scopus 로고    scopus 로고
    • A damage directional constitutive model for Mullins effect with permanent set and induced anisotropy
    • Diani, J., Brieu, M., Vacherand, J. M., 2006. A damage directional constitutive model for Mullins effect with permanent set and induced anisotropy. European Journal of Mechanics e A/Solids 25, 483-496.
    • (2006) European Journal of Mechanics e A/Solids , vol.25 , pp. 483-496
    • Diani, J.1    Brieu, M.2    Vacherand, J.M.3
  • 17
    • 0031120526 scopus 로고    scopus 로고
    • Large deformation field near a crack tip in rubber-like material
    • Gao, Y., 1997. Large deformation field near a crack tip in rubber-like material. Theoretical and Applied Fracture Mechanics 26, 155-162.
    • (1997) Theoretical and Applied Fracture Mechanics , vol.26 , pp. 155-162
    • Gao, Y.1
  • 18
    • 0002163820 scopus 로고    scopus 로고
    • A new constitutive relation for rubber
    • Gent, A., 1996. A new constitutive relation for rubber. Rubber Chemistry and Technology 69, 59-61.
    • (1996) Rubber Chemistry and Technology , vol.69 , pp. 59-61
    • Gent, A.1
  • 19
    • 0032682708 scopus 로고    scopus 로고
    • Mechanical and swelling behaviors of rubber: A comparison of some molecular models with experiment
    • Han, W., Horka, F., Mckenna, G., 1999. Mechanical and swelling behaviors of rubber: a comparison of some molecular models with experiment. Mathematics and Mechanics of Solids 4, 139-167.
    • (1999) Mathematics and Mechanics of Solids , vol.4 , pp. 139-167
    • Han, W.1    Horka, F.2    McKenna, G.3
  • 20
  • 21
    • 0033078303 scopus 로고    scopus 로고
    • A second order constitutive theory for hyperelastic materials
    • Hoger, A., 1999. A second order constitutive theory for hyperelastic materials. International Journal of Solids and Structures 36, 847-868.
    • (1999) International Journal of Solids and Structures , vol.36 , pp. 847-868
    • Hoger, A.1
  • 22
    • 33749014090 scopus 로고    scopus 로고
    • Phenomenological hyperelastic strain-stiffening constitutive models for rubber
    • Horgan, C., Saccomandi, G., 2006. Phenomenological hyperelastic strain-stiffening constitutive models for rubber. Rubber Chemistry and Technology 79, 152e 169.
    • (2006) Rubber Chemistry and Technology , vol.79 , pp. 152-169
    • Horgan, C.1    Saccomandi, G.2
  • 23
    • 80955146072 scopus 로고    scopus 로고
    • The importance of the second strain invariant in the constitutive modeling of elastomers and soft biomaterials
    • Horgan, C. O., Smayda, M. G., 2012. The importance of the second strain invariant in the constitutive modeling of elastomers and soft biomaterials. Mechanics of Materials 51, 43-52.
    • (2012) Mechanics of Materials , vol.51 , pp. 43-52
    • Horgan, C.O.1    Smayda, M.G.2
  • 24
    • 0033687649 scopus 로고    scopus 로고
    • A new development of the strain energy function for hyperelastic materials using a logarithmic strain approach
    • Kakavas, P. A., 2000. A new development of the strain energy function for hyperelastic materials using a logarithmic strain approach. Journal of Applied Polymer Science 77, 660-672.
    • (2000) Journal of Applied Polymer Science , vol.77 , pp. 660-672
    • Kakavas, P.A.1
  • 25
    • 0033225904 scopus 로고    scopus 로고
    • New phenomenological behavior laws for rubbers and thermoplastic elastomers
    • Lambert-Diani, J., Rey, C., 1999. New phenomenological behavior laws for rubbers and thermoplastic elastomers. European Journal of Mechanics e A/Solids 18, 1027-1043.
    • (1999) European Journal of Mechanics e A/Solids , vol.18 , pp. 1027-1043
    • Lambert-Diani, J.1    Rey, C.2
  • 26
    • 60649107643 scopus 로고    scopus 로고
    • A hyper-viscoelastic constitutive model for polyurea
    • Li, C., Lua, J., 2009. A hyper-viscoelastic constitutive model for polyurea. Materials Letters 63, 877-880.
    • (2009) Materials Letters , vol.63 , pp. 877-880
    • Li, C.1    Lua, J.2
  • 27
    • 0031353567 scopus 로고    scopus 로고
    • A physically based method to represent the thermo-mechanical behaviour of elastomers
    • Lion, A., 1997. A physically based method to represent the thermo-mechanical behaviour of elastomers. Acta Mechanica 123, 1-25.
    • (1997) Acta Mechanica , vol.123 , pp. 1-25
    • Lion, A.1
  • 29
    • 49149092122 scopus 로고    scopus 로고
    • Mechanical experimental characterisation and numerical modelling of an unfilled silicone rubber
    • Meunier, L., Chagnon, G., Favier, D., Orgas, L., Vacher, P., 2008. Mechanical experimental characterisation and numerical modelling of an unfilled silicone rubber. Polymer Testing 27, 765-777.
    • (2008) Polymer Testing , vol.27 , pp. 765-777
    • Meunier, L.1    Chagnon, G.2    Favier, D.3    Orgas, L.4    Vacher, P.5
  • 30
    • 0042755636 scopus 로고
    • A theory of large elastic deformation
    • Mooney, M., 1940. A theory of large elastic deformation. Journal of Applied Physics 1. 582-592.
    • (1940) Journal of Applied Physics , vol.1 , pp. 582-592
    • Mooney, M.1
  • 31
    • 10644269923 scopus 로고    scopus 로고
    • Fitting hyperelastic models to experimental data
    • Ogden, R., Saccomandi, G., Sgura, I., 2004. Fitting hyperelastic models to experimental data. Computational Mechanics 34, 484-502.
    • (2004) Computational Mechanics , vol.34 , pp. 484-502
    • Ogden, R.1    Saccomandi, G.2    Sgura, I.3
  • 32
    • 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
  • 33
    • 0037411479 scopus 로고    scopus 로고
    • A micromechanically motivated material model for the thermoviscoelastic material behaviour of rubber-like polymers
    • Reese, S., 2003. A micromechanically motivated material model for the thermoviscoelastic material behaviour of rubber-like polymers. International Journal of Plasticity 19, 909-940.
    • (2003) International Journal of Plasticity , vol.19 , pp. 909-940
    • Reese, S.1
  • 34
    • 35148816639 scopus 로고    scopus 로고
    • Modeling and validation of the large deformation inelastic response of amorphous polymers over a wide range of temperatures and strain rates
    • Richeton, J., Ahzi, S., Vecchio, K., Jiang, F., Makradi, A., 2007. Modeling and validation of the large deformation inelastic response of amorphous polymers over a wide range of temperatures and strain rates. International Journal of Solids and Structures 44, 7938-7954.
    • (2007) International Journal of Solids and Structures , vol.44 , pp. 7938-7954
    • Richeton, J.1    Ahzi, S.2    Vecchio, K.3    Jiang, F.4    Makradi, A.5
  • 35
    • 0000298337 scopus 로고
    • Large elastic deformations of isotropic materials. vii. experiments on the deformation of rubber. Philosophical Transactions of the Royal Society of London. Series A
    • Rivlin, R. S., Saunders, D. W., 1951. Large elastic deformations of isotropic materials. vii. experiments on the deformation of rubber. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences 243, 251-288.
    • (1951) Mathematical and Physical Sciences , vol.243 , pp. 251-288
    • Rivlin, R.S.1    Saunders, D.W.2
  • 36
    • 84879299079 scopus 로고
    • The language of rubber: An introduction to the specification and testing of elastomers
    • Smith, L., Nemours, E. d. P. d., et al., 1993. The Language of Rubber: an Introduction to the Specification and Testing of Elastomers. Boston.
    • (1993) Boston
    • Smith, L.1    Nemours, E.D.P.D.2
  • 37
    • 61749098296 scopus 로고    scopus 로고
    • A model of incompressible isotropic hyperelastic material behavior using spline interpolations of tension compression test data
    • Sussman, T., Bathe, K. J., 2009. A model of incompressible isotropic hyperelastic material behavior using spline interpolations of tension compression test data. Communications in Numerical Methods in Engineering 25, 53-63.
    • (2009) Communications in Numerical Methods in Engineering , vol.25 , pp. 53-63
    • Sussman, T.1    Bathe, K.J.2
  • 38
    • 84879315303 scopus 로고
    • The Physics of Rubber Elasticity, third ed
    • Treloar, L., 1975. The Physics of Rubber Elasticity, third ed. Clarendon, Oxford.
    • (1975) Clarendon, Oxford
    • Treloar, L.1
  • 40
    • 0015669544 scopus 로고
    • A note on arterial elasticity
    • Vito, R., 1973. A note on arterial elasticity. Journal of Biomechanics 6, 561-564.
    • (1973) Journal of Biomechanics , vol.6 , pp. 561-564
    • Vito, R.1
  • 41
    • 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. Journal of Polymer Science Part B: Polymer Physics 35, 1919-1931.
    • (1997) Journal of Polymer Science Part B: Polymer Physics , vol.35 , pp. 1919-1931
    • Yeoh, O.H.1    Fleming, P.D.2


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