Browse > Article
http://dx.doi.org/10.7734/COSEIK.2019.32.5.273

A Simple Method for the Estimation of Hyperelastic Material Properties by Indentation Tests  

Song, Jae-Uk (Department of Mechanical and Automotive Engineering, Seoul National University of Science and Technology)
Kim, Min-Seok (Department of Mechanical and Automotive Engineering, Seoul National University of Science and Technology)
Jeong, Gu-Hun (Department of Mechanical and Automotive Engineering, Seoul National University of Science and Technology)
Kim, Hyun-Gyu (Department of Mechanical and Automotive Engineering, Seoul National University of Science and Technology)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.32, no.5, 2019 , pp. 273-278 More about this Journal
Abstract
In this study, a new simple method for the estimation of hyperelastic material properties by indentation tests is proposed. Among hyperelastic material models, the Yeoh model with three material properties ($C_{10}$, $C_{20}$, $C_{30}$) is adopted to describe the strain energy density in terms of strain invariants. Finite element simulations of the spherical indentation of hyperelastic materials of the Yeoh model with different material properties are performed to establish a database of indentation force-displacement curves. The indentation force-displacement curves are fitted by cubic polynomials, which are approximated as a product of third-order polynomials of ($C_{10}$, $C_{20}$, $C_{30}$). A regression analysis is conducted to determine the coefficients of the equations for the indentation force-displacement curve approximations. A regression equation is used to estimate the hyperelastic material properties. The present method is verified by comparing the estimated material properties with true values.
Keywords
indentation tests; hyperelastic materials; finite element analysis; regression analysis;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Hyun, H.C., Lee, J.H., Lee, H. (2008) Mathematical Expressions for Stress-Strain Curve of Metallic Material, Korean Soc. Mech. Eng. A, 32(1), pp.21-28.   DOI
2 Hyun, H.C., Lee, J.H., Kim, M., Lee. H. (2012) A Spherical Indentation Technique for Property Evaluation of Hyperelastic Rubber, J. Mater. Res., 27(20), pp.2677-2690.   DOI
3 Kim, B., Lee. S.B., Lee. J., Cho. S., Park. H., Yeom. S., Park. S.H. (2012) A Comparison Among Neo-Hookean Model, Mooney-Rivlin Model, and Ogden Model for Chloroprene Rubber, Int. J. Precis. Eng. & Manuf., 13, pp.759-764.   DOI
4 Kim, W.D., Kim. D.J., Kim. W.S., Lee. Y.S. (2003) A Study on the Equi-biaxial Tension Test of Rubber Material, Trans. Korean Soc. Automot. Eng., 11(5), pp.95-104.
5 Lee, H.J., Kim, K.B., Lee, B.S., Lee, B.S. (2003) Analvsis of True Stress-True Strain Relations through the Modeling of Ball Indentation Test, Korean Soc. Mech. Eng. Spring Conf., pp.2660-665.
6 Lee, H.Y., Lee, J.H. (2004) Software and Hardware Development of Micro-indenter for Material Property Evaluation of Hyper-Elastic Rubber, Korean Soc. Mech. Eng. A, 28(16), pp.816-825.   DOI
7 Lee, J.H., Kwon, D. (1997) Evaluation of True Stress-True Strain Curve through Continuous Indentation Test, Korean J. Met. & Mater., 35(12), pp.1616-1625.
8 Lee, S., Jun, Y., Kim, H.G. (2014) A Study on the Evaluation of Stress-strain Relationships of Materials by Indentation Tests, Korean Soc. Mech. Eng. Fall Conf., pp.2070-7072.
9 Marckmann, G., Verron, E. (2006) Comparison of Hyperelastic Models for Rubberlike Materials, Rubber Chem. & Technol., 79, pp.835-850.   DOI
10 Ogden, R.W., Saccomadi, G., Sgura, I. (2004) Fitting Hyperelastic Models to Experimental Data, Comput. Mech., 34, p.484.   DOI
11 Wu, Y., Wang, H., Li, A. (2016) Parameter Identification Methods for Hyperelastic and Hyper-Viscoelastic Models, Appl. Sci., 6(12), p.386.   DOI
12 Yeoh, O.H. (1990) Characterization of Elastic Properties of Carbon-black-filled Rubber Vulcan -izates, Rubber Chemistry and Technology, 63, pp.792-805.   DOI
13 Yeoh, O.H. (1993) Some Forms of the Strain Energy Function for Rubber, Rubber Chem. & Technol., 66, pp.754-771.   DOI
14 Hwang, K.M., Oh, J.S., Lee, H.Y. (2009) Enhanced Spherical Indentation Techniques for Rubber Property Evaluation, Korean Soc. Mech. Eng. A, 33(12), pp.1357-1365.   DOI
15 Horgan, C.O., Murphy, J.G. (2009) On The Volumetric Part of Strain-Energy Functions used in the Constitutive Modeling of Slightly Compressible Solid Rubbers, Int. J. Solids & Struct., 46, pp.3078-3085.   DOI