Browse > Article
http://dx.doi.org/10.3795/KSME-A.2016.40.4.353

Non Linear Viscoelastic Constitutive Relation of Elastomers for Hysteresis Behavior  

Yoo, Sairom (Dept. of Aerospace Engineering, Korea Aerospace Univ.)
Ju, Jaehyung (Dept. of Mechanical Engineering, Univ. of North Texas)
Choi, Seok-Ju (R&D Center, Hnakook Tire Co. Ltd.)
Kim, Dooman (Dept. of Aerospace Engineering, Korea Aerospace Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.40, no.4, 2016 , pp. 353-362 More about this Journal
Abstract
An accurate hysteresis model of an elastomer is important for quantifying viscoelastic energy loss. We suggest a highly nonlinear hyper-viscoelastic constitutive model of elastomers. The model captures a nonlinear viscoelastic characteristic by combining Yeoh's hyperelastic model and Hoofatt's hysteresis model used Neo-Hookean hyperelastic model. Analytical and numerical models were generated from uniaxial cyclic tests of an elastomer under a sinusoidal load with a mean strain of 150%, amplitudes of 20~80%, and frequencies of 0.02~0.2Hz. The viscoelastic model can highly capture the viscoelastic energy loss up to a strain of 230%.
Keywords
Viscoelastic; Non-linear; Hyperelastic; Constitutive Relation;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Buckley, Mc C. and Bucknell, 2003, Principles of Polymer Engineering, pp. 117-176.
2 Wiechert, E., 1889, Ueber Elastische Nachwirkung, Dissertation, Konigsberg University, Germany.
3 Wiechert, E., 1893, Gesetze der elastischen Nachwirkung fur constante Temperatur, Annalen der Physik, pp. 286, 335-348, 546-570.
4 Soussou, J. E., Moavenzadeh, F. and Gradowczyk, M. H., 1970, "Application of Prony Series to Linear Viscoelasticity," Trans. Soc. Rheol. Vol. 14, pp. 573-584.   DOI
5 Haupt, P. and Lion, A., 2002, "On Finite Linear Viscoelasticity of Incompressible Isotropic Materials," Acta Mech. Vol. 159, pp. 87-124.   DOI
6 Bergstrom, J. S. and Boyce, M. C., 1998, "Constitutive Modeling of the Large Strain Time-dependent Behavior of Elastomers," J. Mech. Phys. Solids, Vol. 46, pp. 931-954.   DOI
7 Bergstrom, J. S. and Boyce, M. C., 2001, "Constitutive Modeling of the Time-dependent and Cyclic Loading of Elastomers and Application to Soft Biological Tissues," Mech. Mater, Vol. 33, pp. 523-530.   DOI
8 Lion, A., 1996, "A Constitutive Model for Carbon Black Filled Rubber: Experimental Investigations and Mathematical Representation," Continuum Mech. Thermo-dyna, Vol. 8 pp. 153-169.   DOI
9 Lion, A., 1997, "A Physically Based Method to Represent the Thermo-mechanical Behavior of Elastomers," Acta Mech. Vol. 123, pp. 1-25.   DOI
10 Tomita, Y., Lu, W., Naito, M. and Furutani, Y., 2006, "Numerical Evaluation of Micro - to Macroscopic Mechanical Behavior of Carbon-black-filled Rubber," International Journal of Mechanical Sciences, Vol. 48, pp. 108-116.   DOI
11 Tomita, Y., Azuma, K. and Naito, M., 2008, "Computational Evaluation of Strain-rate-dependent Deformation Behavior of Rubber and Carbon-blackfilled Rubber Under Monotonic and Cyclic Straining," Int. J. Mech. Sci, Vol. 50 pp. 856-868.   DOI
12 Liu, M. and HooFatt, Michelle S., 2011, "A Constitutive Equation for Filled Under Cyclic Loading," International Journal of Non-Linear Mechanics, Vol. 46, pp. 446-456.   DOI
13 Liu, F., Sutcliffe, M.P.F. and Graham, W.R., 2010, "Prediction of Tread Block Forces for a Free-rolling Tyre in Contact with a Smooth Road," Wear, Vol. 269, pp. 672-683.   DOI
14 Lee, E.H. and Liu, D.H., 1967, "Finite-strain Elastic-plastic Theory with Application to Plane-wave Analysis," J. Appl. Phys., Vol. 38 pp. 19-27.   DOI
15 Huber, N., Tsakmakis, C., 2000, "Finite Deformation Viscoelasticity Laws," Mech. Mater., Vol. 32 pp. 1-18.   DOI
16 Robertson, C. G. and Wang, X., 2006, "Spectral Hole Burning to Probe the Nature of Unjamming (Payne effect) in Particulate-filled Elastomers," Europhys. Lett, Vol. 76, pp. 278-284.   DOI
17 Payne, A.R., 1967, "Dynamic properties of PBNA-natural Rubber Vulcanizates," J. Appl. Polym. Sci. Vol. 11, pp. 383-387.   DOI