Skip to main content

Theoretical and Computational Simulation of Viscoelastic Polymeric Foams at Finite Strains

  • Conference paper
IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 108))

  • 449 Accesses

Abstract

Viscoelastic polymer foams (soft foams) as well as synthetic sponges are of great interest in various fields of engineering. As a result of the foaming process, these materials exhibit an open or closed cellular micro structure leading to a macroscopic porosity of more than 90 %. Following this, extremely large deformations can occur giving these materials their outstanding mechanical characteristics.

The goal of this paper is to present an efficient macroscopic continuum mechanical model based on the Theory of Porous Media (TPM) in order to carry out numerical investigations at suitable means of computational costs. In particular, the model accounts for the complex cellular structure including the intrinsic viscoelastic behavior of the polymeric skeleton which is saturated by an independent compressible pore-gas constituent.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ball, J.M. (1977). Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rational Mech. Anal., 63, 337–403.

    Article  MATH  Google Scholar 

  2. Braess, D. (1997).Finite Elemente, Springer-Verlag, Berlin.

    MATH  Google Scholar 

  3. Brezzi, F. and Fortin, M. (1991).Mixed and Hybrid Finite Element Methods, Springer-Verlag, New York.

    Book  MATH  Google Scholar 

  4. Coleman, B.D. and Gurtin, M.E. (1967). Thermodynamics with internal state variables.J. Chem. Phys., 47, 591–613.

    Article  ADS  Google Scholar 

  5. Ehlers, W. (2002). Foundations of multiphasic and porous materials. In:Porous Media: Theory, Experiments and Numerical Applications, W. Ehlers, J. Bluhm (eds.), Springer-Verlag, Berlin, 3–86.

    Google Scholar 

  6. Ehlers, W. and Markert, B. (2000). On the viscoelastic behaviour of fluid-saturated porous materials. Granular Matter, 2, 153–161.

    Article  Google Scholar 

  7. Ellsiepen, P. (1999).Zeit- und ortsadaptive Verfahren angewandt auf Mehrphasenprobleme poröser Medien, Dissertation, Bericht Nr. II-3 aus dem Institut für Mechanik (Bauwesen), Universität Stuttgart.

    Google Scholar 

  8. Gibson, L.J. and Ashby, F. (1997).Cellular Solids, Structure and Properties, 2nd ed., University Press, Cambridge.

    Google Scholar 

  9. Ogden, R.W. (1984).Nonlinear elastic deformations, Ellis Horwood, Chichester.

    MATH  Google Scholar 

  10. Reese, S. and Govindjee, S. (1998). A theory of finite viscoelasticity and numerical aspects.Int. J. Solids Structures, 35, 3455–3482.

    Article  MATH  Google Scholar 

  11. Spellucci, P. (1998). A new technique for inconsistent QP problems in the SQP method. Math. Meth. OR, 47, 335–400.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Ehlers, W., Markert, B. (2003). Theoretical and Computational Simulation of Viscoelastic Polymeric Foams at Finite Strains. In: Miehe, C. (eds) IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains. Solid Mechanics and Its Applications, vol 108. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0297-3_21

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-0297-3_21

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6239-0

  • Online ISBN: 978-94-017-0297-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics