Skip to main content
SpringerLink
Log in

Multi-cycle deformation of silicone elastomer: observations and constitutive modeling with finite strains

  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

Observations are reported on a medical grade of silicone elastomer in uniaxial tensile tests up to breakage of specimens, short-term relaxation tests, and cyclic tests with monotonically increasing maximum elongation ratios. Experimental data in cyclic tests demonstrate the fading memory phenomenon: stress–strain diagrams for two specimens with different deformation histories along the first n−1 cycles and coinciding loading programs for the other cycles become identical starting from the nth cycle. A constitutive model is developed in cyclic viscoplasticity of elastomers with finite strains, and its adjustable parameters are found by fitting the experimental data. Ability of the stress–strain relations to predict the mechanical response in cyclic tests with various deformation programs is confirmed by numerical simulation.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. Curtis J, Colas A (2004) Medical applications of silicones. In: Ratner BD (ed) Biomaterials science: an introduction to materials in medicine. Elsevier, London

    Google Scholar 

  2. Mullins L (1947) Effect of stretching on the properties of rubber. J Rubber Res 16:275–289

    Google Scholar 

  3. Diani J, Fayolle B, Gilormini P (2009) A review on the Mullins effect. Eur Polym J 45:601–612

    Article  Google Scholar 

  4. Goktepe S, Miehe C (2005) A micro-macro approach to rubber-like materials. Part III: The micro-sphere model of anisotropic Mullins-type damage. J Mech Phys Solids 53:2259–2283

    Article  MathSciNet  ADS  Google Scholar 

  5. Chagnon G, Verron E, Marckmann G, Gornet L (2006) Development of new constitutive equations for the Mullins effect in rubber using the network alteration theory. Int J Solids Struct 43:6817–6831

    Article  MATH  Google Scholar 

  6. Li J, Mayau D, Lagarrigue V (2008) A constitutive model dealing with damage due to cavity growth and the Mullins effect in rubber-like materials under triaxial loading. J Mech Phys Solids 56:953–973

    Article  MathSciNet  MATH  ADS  Google Scholar 

  7. Cantournet S, Desmorat R, Besson J (2009) Mullins effect and cyclic stress softening of filled elastomers by internal sliding and friction thermodynamics model. Int J Solids Struct 46:2255–2264

    Article  MATH  Google Scholar 

  8. Drozdov AD (2009) Mullins’ effect in semicrystalline polymers. Int J Solids Struct 46:3336–3345

    Article  MATH  Google Scholar 

  9. Palmieri G, Sasso M, Chiappini G, Amodio D (2009) Mullins effect characterization of elastomers by multi-axial cyclic tests and optical experimental methods. Mech Mater 41:1059–1067

    Article  Google Scholar 

  10. Itskov M, Ehret AE, Kazakeviciute-Makovska R, Weinhold GW (2010) A thermodynamically consistent phenomenological model of the anisotropic Mullins effect. Z Angew Math Mech 90:370–386

    Article  MATH  Google Scholar 

  11. MacHado G, Chagnon G, Favier D (2010) Analysis of the isotropic models of the Mullins effect based on filled silicone rubber experimental results. Mech Mater 42:841–851

    Article  Google Scholar 

  12. Ayoub G, Zairi F, Nait-Abdelaziz M, Gloaguen JM (2011) Modeling the low-cycle fatigue behavior of visco-hyperelastic elastomeric materials using a new network alteration theory: application to styrene-butadiene rubber. J Mech Phys Solids 59:473–495

    Article  ADS  Google Scholar 

  13. Bhattacharya A, Medvedev GA, Caruthers JM (2011) Time-dependent mechanical behavior of carbon black filled elastomers. Rubber Chem Technol 84:296–324

    Article  Google Scholar 

  14. Drozdov AD, Christiansen JdeC (2011) Mullins’ effect in semicrystalline polymers: experiments and modeling. Meccanica 46:359–370

    Article  MathSciNet  MATH  Google Scholar 

  15. Merckel Y, Diani J, Brieu M, Berghezan D (2011) Experimental characterization and modelling of the cyclic softening of carbon-black filled rubbers. Mater Sci Eng A 528:8651–8659

    Article  Google Scholar 

  16. Anand L, Gurtin ME (2003) A theory of amorphous solids undergoing large deformations, with application to polymeric glasses. Int J Solids Struct 40:1465–1487

    Article  MATH  Google Scholar 

  17. Korchagin V, Dolbow J, Stepp D (2007) A theory of amorphous viscoelastic solids undergoing finite deformations with application to hydrogels. Int J Solids Struct 44:3973–3997

    Article  MATH  Google Scholar 

  18. Krempl E, Khan F (2003) Rate (time)-dependent deformation behavior: an overview of some properties of metals and solid polymers. Int J Plast 19:1069–1095

    Article  MATH  Google Scholar 

  19. Khan F, Krempl E (2005) Amorphous and semi-crystalline solid polymers: experimental and modeling studies of their inelastic deformation behaviors. J Eng Mater Technol 127:64–72

    Google Scholar 

  20. Colak OU (2005) Modeling deformation behavior of polymers with viscoplasticity theory based on overstress. Int J Plast 21:145–160

    Article  MATH  Google Scholar 

  21. Colak OU, Dusunceli N (2006) Modeling viscoelastic and viscoplastic behavior of high density polyethylene (HDPE). J Eng Mater Technol 128:572–578

    Article  Google Scholar 

  22. Dusunceli N, Colak OU (2008) Modelling effects of degree of crystallinity on mechanical behavior of semicrystalline polymers. Int J Plast 24:1224–1242

    Article  MATH  Google Scholar 

Download references

Acknowledgements

Financial support by the EU Commission through Project Evolution-314744 is gratefully acknowledged.

Author information

Authors and Affiliations

  1. Department of Plastics Technology, Danish Technological Institute, Gregersensvej 7, Taastrup, 2630, Denmark

    A. D. Drozdov, S. Clyens & N. Theilgaard

Authors
  1. A. D. Drozdov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Clyens
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. Theilgaard
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. D. Drozdov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Drozdov, A.D., Clyens, S. & Theilgaard, N. Multi-cycle deformation of silicone elastomer: observations and constitutive modeling with finite strains. Meccanica 48, 2061–2074 (2013). https://doi.org/10.1007/s11012-013-9725-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11012-013-9725-8

Keywords

Search

Navigation