Hyperelastic materials behavior modeling using consistent strain energy density functions

Acta Mechanica

Volumn 213, Issue 3-4, 2010, Pages 235-254

  Darijani, Hossein ^a   Naghdabadi, Reza ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; ELASTICITY; FUNCTIONS; INCOMPRESSIBLE FLOW; STRAIN ENERGY;

HOMOGENEOUS DEFORMATION; HYPERELASTIC BEHAVIOR; HYPERELASTIC MATERIALS; INCOMPRESSIBLE MATERIAL; LOAD DEFORMATION BEHAVIOR; MATHEMATICAL FUNCTIONS; PHENOMENOLOGICAL APPROACH; STRAIN ENERGY DENSITY FUNCTIONS;

CHARACTERIZATION;

EID: 84898033715     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-009-0239-3     Document Type: Article

References (29)

1. Rivlin, R.S., Saunders, D.W.: Large elastic deformations of isotropic materials VII, experiments on the deformation of rubber. Phil. Trans. R. Soc. A 243, 251-288 (1951)
2. Valanis, K.C., Landel, R.F.: The strain-energy function of hyper-elastic material in terms of extension ratios. J. Appl. Phys. 38, 2997-3002 (1967)
3. Ogden, R.W.: Biaxial deformation of rubber-like solids: comparison of theory and experiment. J. Phys. D: Appl. Phys. 12, 1463-1472 (1979)
4. Kakavas, P.A.: A new development of the strain energy function for hyperelastic materials using a logarithmic strain approach. J. Appl. Poly. Sci. 77, 660-672 (2000)
5. Attard, M.M.: Finite strain isotropic hyperelasticity. Int. J. Solids Struct. 40, 4353-4378 (2003)
6. Beatty, M.F.: Topics in finite elasticity: hyperelasticity of rubber, elastomers and biological tissues with examples. Appl. Mech. Rev. 40, 1699-1734 (1987)
7. Ehlers, W., Eipper, G.: The simple tension problem at large volumetric strains computed from finite hyperelastic material laws. Acta Mech. 130, 17-27 (1998) (Pubitemid 128554226)
8. Yeoh, O.H.: Characterization of elastic properties of carbon black filled rubber vulcanizates. Rubber Chem. Technol. 63, 792-805 (1990)
9. Yeoh, O.H.: Some forms of the strain energy function for rubber. Rubber Chem. Technol. 66, 754-771 (1993)
10. Lambert-Diani, J., Rey, C.: New phenomenological behavior laws for rubbers and thermoplastic elastomers. Eur. J. Mech. A/Solids 18, 1027-1043 (1999) (Pubitemid 30531749)
11. El-Lawindy, A.M.Y., El-Guiziri, S.B.: Strain energy density of carbon-black-loaded rubber vulcanizates. J. Phys. D: Appl. Phys. 33, 1894-1901 (2000)
12. Boyce, M.C., Arruda, E.M.: Constitutive models of rubber elasticity. Rubber Chem. Technol. 73, 504-523 (2000)
13. Bradley, G.L., Chang, P.C.,Mckenna, G.B.: Rubbermodeling using uniaxial test data. J. Appl. Poly. Sci. 81, 837-848 (2001)
14. Bischoff, J.E., Arruda, E.M., Grosh, K.: A new constitutive model for the compressibility of elastomers at finite deformations. Rubber Chem. Technol. 74, 541-559 (2000)
15. Ogden, R.W.: Non-Linear Elastic Deformations. Dover Publications, Mineola (1997)
16. Treloar, L.R.G.: The Physics of Rubber Elasticity. Clarendon Press, Oxford (1975)
17. Drozdov, A.D.: Constitutive equations in finite elasticity of rubbers. Int. J. Solids Struct. 44, 272-297 (2007) (Pubitemid 44709729)
18. Ogden,R.W., Saccomandi,G., Sgura, I.: Fitting hyperelastic models to experimental data. Comput.Mech. 34, 484-502 (2004)
19. Hartmann, S.: Numerical studies on the identification of the material parameters of Rivlin's hyperelasticity using tensiontorsion tests. Acta Mech. 148, 129-155 (2001) (Pubitemid 32694195)
20. Gendy, A.S., Saleeb, A.F.: Nonlinear material parameter estimation of characterizing hyperelastic large strain models. Comput. Mech. 25, 66-77 (2000) (Pubitemid 30566068)
21. Treloar, L.R.G.: Stress-strain data for vulcanised rubber under various types of deformation. Trans. Faraday Soc. 40, 59-70 (1944)
22. Kawabata, S., Matsuda,M., Tel, K., Kawai, H.: Experimental survey of the strain energy density function of isoprene rubber vulcanizate. Macromolecules 14, 154-162 (1981)
23. Heuillet, P., Dugautier, L.:Modelisation du comportement hyperelastique des caoutchoucs et elastomeres thermoplastiques, compacts on cellulaires. Genie Mecanique des Caoutchoucs et des Elastomeres Thermoplastiques (1997)
24. Alexander, H.: A constitutive relation for rubber-like materials. Int. J. Eng. Sci. 9, 549-563 (1968)
25. Bridgman, P.W.: The pressure-volume-temperature relations of fifteen liquids. Proc. Am. Acad. Arts Sci. 68, 1-25 (1933)
26. Bridgman, P.W.: Electrical resistances and volume changes up to 20,000 kg/cm2. Proc. Natl. Acad. Sci. 21, 109 (1935)
27. Adams, L.H., Gibson, R.E.: The compressibility of rubber. J. Acad. Sci. 20, 213-223 (1930)
28. Bridgman, P.W.: The compression of 61 substances to 25,000 kg/cm2 determined by a new rapid method. Proc. Am. Acad. Arts Sci. 76, 9-24 (1945)
29. Penn, R.W.: Volume changes accompanying the extension of rubber. Trans. Soc. Rheo. 14, 509-517 (1970)