Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-19T02:18:18.130Z Has data issue: false hasContentIssue false
  • English
  • Français

A spherical indentation technique for property evaluation of hyperelastic rubber

Published online by Cambridge University Press:  31 July 2012

Hong Chul Hyun ,
Jin Haeng Lee ,
Minsoo Kim  and
Hyungyil Lee
Hong Chul Hyun
Affiliation:
Department of Mechanical Engineering, Sogang University, Seoul 121-742, Republic of Korea
Jin Haeng Lee*
Affiliation:
Division for Reactor Mechanical Engineering, Korea Atomic Energy Research Institute, Daejeon 305-353, Republic of Korea
Minsoo Kim
Affiliation:
Department of Mechanical Engineering, Sogang University, Seoul 121-742, Republic of Korea
Hyungyil Lee
Affiliation:
Department of Mechanical Engineering, Sogang University, Seoul 121-742, Republic of Korea
*
a)Address all correspondence to this author. e-mail: [email protected]
Get access

Abstract

The numerical approach of Lee et al. [Trans. Korean Soc. Mech. Eng., A28, 816–825 (2004)] to spherical indentation technique for property evaluation of hyperelastic rubber is enhanced. The Yeoh model is adopted as the constitutive form of rubber material because it can express well large deformation and cover various deformation modes with a simple form. We first determine the friction coefficient between a rubber specimen and a spherical indenter in a practical viewpoint and perform finite element simulations for a deeper indentation depth than that selected by Lee et al. [Trans. Korean Soc. Mech. Eng., A28, 816–825 (2004)]. An optimal data acquisition spot is selected, which features sufficiently large strain energy density and negligible frictional effect. We improve then two normalized functions mapping an indentation load–displacement curve onto a strain energy density–invariant curve, the latter of which gives the Yeoh model constants. The enhanced spherical indentation approach successfully produces the rubber material properties with an average error of less than 5%. The validity of our developed approach is verified by experimental evaluation of material properties with three kinds of rubber materials.

Keywords

spherical indenterrubber material propertiesYeoh modelload-depth curvesstrain energy densityfirst invariantfinite element analysis
Type
Articles
Information
Journal of Materials Research , Volume 27 , Issue 20 , 28 October 2012 , pp. 2677 - 2690
Copyright
Copyright © Materials Research Society 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Kim, W.D., Kim, D.J., Kim, W.S., and Lee, Y.S.: A study on the equi-biaxial tension test of rubber material. Trans. KSAE 11, 95–104 (2003).Google Scholar
Lee, H., Kim, D.W., Lee, J.H., and Nahm, S.H.: Software and hardware development of micro-indenter for material property evaluation of hyper-elastic rubber. Trans. Korean Soc. Mech. Eng. A 28, 816–825 (2004).Google Scholar
Yeoh, O.H.: Characterization of elastic properties of carbon-black-filled rubber vulcanizates. Rubber Chem. Technol. 63, 792–805 (1990).CrossRefGoogle Scholar
Yeoh, O.H.: Some forms of the strain energy function for rubber. Rubber Chem. Technol. 66, 754–771 (1993).CrossRefGoogle Scholar
Yeoh, O.H. and Fleming, P.D.: A new attempt to reconcile the statistical and phenomenological theories of rubber elasticity. J. Polym. Sci., Part B: Polym. Phys. 35, 1919–1931 (1997).3.0.CO;2-K>CrossRefGoogle Scholar
Mooney, M.: A theory of large elastic deformation. J. Appl. Phys. 11, 582–592 (1940).CrossRefGoogle Scholar
Treloar, L.R.G.: The elastic of a network of long-chain molecules-II. Trans. Faraday Soc. 39, 241–246 (1943).CrossRefGoogle Scholar
Treloar, L.R.G.: The Physics of Rubber Elasticity (Clarendon Press, Oxford, 1975).Google Scholar
Rivlin, R.S.: Large elastic deformations of isotropic materials. IV. Further developments of the general theory. Philos. Trans. R. Soc. London, Ser. A 241, 379–397 (1948).Google Scholar
Rivlin, R.S.: Large Elastic Deformations in Rheology: Theory and Application (Academic Press, New York, 1956).Google Scholar
Ogden, R.W.: Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids. Proc. R. Soc. London, Ser. A 326, 565–584 (1972).Google Scholar
Arruda, E.M. and Boyce, M.C.: A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J. Mech. Phys. Solids 41, 389–412 (1993).CrossRefGoogle Scholar
Boyce, M.C. and Arruda, E.M.: Constitutive models for rubber elasticity: A review. Rubber Chem. Technol. 3, 504–523 (2000).CrossRefGoogle Scholar
ABAQUS: ABAQUS User’s Manual, Version 6.8 (Simulia, Providence, RI, 2008).Google Scholar
Ali, A., Hosseini, M., and Sahari, B.B.: A review of constitutive models for rubber-like materials. Am. J. Eng. Appl. Sci. 3, 232–239 (2010).CrossRefGoogle Scholar
Beda, T.: Reconciling the fundamental phenomenological expression of the strain energy of rubber with established experimental facts. J. Polym. Sci., Part B: Polym. Phys. 43, 125–134 (2005).CrossRefGoogle Scholar
McKenna, G.B. and Zapas, L.J.: Experiments on the small-strain behaviour of crosslinked natural rubber: 1. Torsion. Polymer 24, 1495–1501 (1983).CrossRefGoogle Scholar
McKenna, G.B. and Zapas, L.J.: Experiments on the small-strain behaviour of crosslinked natural rubber: 2. Extension and compression. Polymer 24, 1502–1506 (1983).CrossRefGoogle Scholar
Gregory, M.J.: The stress–strain behaviour of filled rubber at moderate strains rubber at moderate strains. Plast. Rubber Mater. Appl. 4, 184–188 (1979).Google Scholar
Qi, H.J. and Boyce, M.C.: Constitutive model for stretch-induced softening of the stress-stretch behavior of elastomeric materials. J. Mech. Phys. Solids 52, 2187–2205 (2004).CrossRefGoogle Scholar
Kim, W.D., Kim, W.S., Kim, D.J., Woo, C.S., and Lee, H.J.: Mechanical testing and nonlinear material properties for finite element analysis of rubber components. Trans. Korean Soc. Mech. Eng. A 28, 848–859 (2004).Google Scholar
Mullins, L.: Effect of stretching on the properties of rubber. Rubber Chem. Technol. 16, 275–289 (1947).Google Scholar
Lee, H., Lee, J.H., and Pharr, G.M.: A numerical approach to spherical indentation technique for material property evaluation. J. Mech. Phys. Solids 53, 2037–2069 (2005).CrossRefGoogle Scholar
Kim, W.D., Kim, D.J., Na, C.W., and Lee, Y.S.: A study on the frictional characteristics of vulcanized rubber plates. J. Korean Rubber Soc. 36, 121–129 (2001).Google Scholar
Lee, J.H., Kim, T.H., and Lee, H.: A study on robust indentation techniques to evaluate elastic–plastic properties of metals. Int. J. Solids Struct. 47, 647–664 (2010).CrossRefGoogle Scholar
Lee, J.H., Lee, H., Hyun, H.C., and Kim, M.: Numerical approaches and experimental verification of the conical indentation techniques for residual stress evaluation. J. Mater. Res. 25, 2212–2223 (2010).CrossRefGoogle Scholar