Characterisation of large strain viscoelastic properties of polymers

  • Bálint Fazekas Budapest University Of Technology and Economics, Department of Machine Product and Design
  • Tibor Goda
Keywords: hyperelasticity, finite strain viscoelasticity, Prony-series, parameter identification, polymers


The most widely used approach to model the large strain elastic and the time-dependent response of polymers in a finite element simulation is the application of the so-called hyper-viscoelastic material model, which is composed of a nonlinear elastic (hyperelastic) and a linear viscoelastic part. In order to determine the constitutive parameters, a simple numerical algorithm has been used here. This method ensures a general strategy to fit the material parameters directly and accurately to the measurements. In this study, the material model and the numerical algorithm have been tested for silicone rubber and polypropylene. Finally, the numerical solutions have been compared with stress relaxation tests.


[1] Brinson, H.F., Brinson, L.C., (2015). Polymer Engineering Science and Viscoelasticity, Springer.
[2] Bergström, J., (2015). Mechanics of Solid Polymers: Theory and Computational Modeling, Elsevier.
[3] Goh, S.M., Charalambides, M.N., Williams, J.G., (2004). Determination of the constitutive constants of non-linear viscoelastic materials, Mech. Time-Dependent Mater. 8, 255–268.
[4] Nandi, B., Dalrymple, T., Lapczyk, I. (2014). Importance of Capturing Non-linear Viscoelastic Material Behavior in Tire Rolling Simulations, Meeting of the Tire Society.
[5] Dalrymple, T. (2014). Calibration of Polypropylene.
[6] Rivlin, R.S. (1948). Large elastic deformations of isotropic materials I. Fundamental, Philosophical Trans. of the Roy. Soc. of London, Series A, Mathematical and Physical Sciences, 240 (822), 459–490.
[7] Yeoh, O. H. (1993). Some Forms of the Strain Energy Function for Rubber, Rubber Chemistry and Technology, 66 (5), 754–771.
[8] G.A. Holzapfel, G.A. (2000). Nonlinear Solid Mechanics. Wiley.
[9] Gamonpilas, C., McCuiston, R. (2012). A non-linear viscoelastic material constitutive model for polyurea, Polymer, 53, 3655–3658.
[10] Abaqus 6.14 Documentation: Dassault Systèmes, USA
Materials Science and Technology (Anyagtudomány és Technológia)