Abstract
This article presents the numerical simulation of the static and dynamic response of viscoelastic materials with the finite element method. In particular, elastomeric solids which are of essential engineering interest are discussed. A rubbery elastic manner is assumed to be modeled with an Ogden-type strain energy function well-known from rubber elasticity. A Prony series represents the relaxation moduli is exploited in order to derive a recursive relationship. By using a general finite element software ANSYS, several representative numerical examples illustrate relaxation and creeping phenomena.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Ogeden, R.W.: Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids. Proc. Roy. Soc. Lind. Ser. A 328, 567–583 (1972)
Treloar, L.R.G.: The Physics of Rubber Elasticity, 3rd edn. Oxford University Press, Oxford, UK (1975)
Ogeden, R.W.: Large deformation isotropic elasticity–on the correlation of theory and experiment for incompressible rubberlike solids. Proc. Roy. Soc. Lind. Ser. A 326, 565–584 (1972)
Ogeden, R.W.: Non-linear Elastic Deformations. Ellis Horwood, Chichester, UK (1984)
Crisfield, M.A.: Non-linear Finite Element Analysis of Solids and Structures. In: Advanced Topics, vol. 2, John Wiley & Sons, Chichester (1997)
Simo, J.C., Hughes, T.J.R.: Computational Inelasticity. Springer, Heidelberg (1997)
Taylor, R.L., Pister, K.S., Goudreas, G.L.: Thermochemical Analysis of Viscoelastic Solids. International Journal for Numerical Methods in Engineering. 2, 45–59 (1970)
Simo, J.C.: On fully three-dimensional finite strain viscoelastic damage model: Formulation and computational aspects. Comput. Meth. In Appl. Mech. Eng. 60, 153–173 (1987)
Lee, E.H., Radok, J.R.M., Woodward, W.B.: Stress Analysis for Linear Viscoelastic Materials Trans. of the Society of Rheology III, 41–59 (1959)
Zienkiewicz, O.C., Watson, M., King, I.P.: A Numerical Method of Visco-Elastic Stress Analysis. Int. J. Mech. Sci. 10, 807–827 (1968)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zhang, X., Yang, S., Chen, L. (2007). Finite Element Simulation of Viscoelastic Damping Materials. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Contemporary Intelligent Computing Techniques. ICIC 2007. Communications in Computer and Information Science, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74282-1_139
Download citation
DOI: https://doi.org/10.1007/978-3-540-74282-1_139
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74281-4
Online ISBN: 978-3-540-74282-1
eBook Packages: Computer ScienceComputer Science (R0)