Skip to main content
SpringerLink
Log in

Fatigue Wear Modeling of Elastomers

  • Published:
Physical Mesomechanics Aims and scope Submit manuscript

Abstract

This study presents modeling results on fatigue wear of elastomers. A contact problem solution has been derived for the sliding of a system of asperities over a viscoelastic half-space. The mechanical properties of the viscoelastic half-space are described by relations between stresses and strains given by the Volterra integral operator. The contact problem is solved by the boundary element method using an iterative procedure. Stresses in the subsurface layers of the viscoelastic material are analyzed. The damage function of the surface layer is calculated using a reduced stress criterion, the parameters of which are determined on the basis of available experimental data. The wear process is studied under the assumption that the accumulated damage can be summed up. Within the applied frictional interaction model, the wear process presents the delamination of material surface layers of finite thickness at discrete points in time and continuous surface wear by fatigue mechanism. A model calculation of contact fatigue damage accumulation has shown that the time to the first material delamination (incubation period) depends on the sliding velocity and the viscoelastic properties of the material. By analyzing the dependence of the wear rate on the input parameters of the problem, it was investigated how the sliding velocity affects the time of fatigue damage initiation and the run-in and steady-state wear rates in materials with different rheological properties. Model calculations revealed that the wear rate of material surface layers after the incubation period increases smoothly and then stabilizes. The presence of the steady-state wear rate agrees well with experimental data. The developed method for studying fatigue damage accumulation in the surface layers of viscoelastic materials in frictional interaction can also be applied on the macrolevel to determine possible crack initiation sites.

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

Similar content being viewed by others

References

  1. Ratner, S.B., Wear of Polymers as a Fatigue Fracture Process, in Theory of Friction and Wear, Ratner, S.B., Klitenik, G.S., and Lurie, E.G., Eds., Moscow: Nauka, 1965, pp.156–159.

    Google Scholar 

  2. Ratner, S.B. and Lurie, E.G., Abrasion of Polymers as a Thermally Activated Kinetic Process, Dokl. AN SSSR, 1966, vol. 166, no. 4, pp. 909–912.

    Google Scholar 

  3. Frictional Wear of Rubber: Coll. Papers, Evstratov, V.F., Ed., Moscow: Knimia, 1964.

  4. Kragelsky, I.V. and Nepomnyashchy, E.F., Fatigue Mechanism in Elastic Contact, in Mechanics and Mechanical Engineering, Moscow: Izd–vo AN SSSR, 1963, pp. 49–56.

    Google Scholar 

  5. Kragelsky, I.V. and Nepomnyashchy, E.F., Theory of Wear of Highly Elastic Materials, in Plastics in Sliding Bearings, Moscow: Nauka, 1965, pp. 49–56.

    Google Scholar 

  6. Kragelsky, I.V., Reznikovsky, M.M., Brodsky, G.I., and Nepomnyashchy, E.F., Friction Contact Fatigue of Highly Elastic Materials, KauchukRezina, 1965, no. 9, pp. 30–34.

    Google Scholar 

  7. Clark, W.T. and Lancaster, J.K., Breakdown and Surface of Carbons during Repeated Sliding, Wear, 1963, vol. 6, no. 6, pp. 467–482.

    Article  Google Scholar 

  8. Kerridge, M. and Lancaster, J.K., The Stages in a Process of Severe Metallic Wear, Proc. Roy. Soc., 1956, vol. 236, pp.250–254.

    Google Scholar 

  9. Eiss, N.S., Jr., Fatigue Wear of Polymers, ACS Symposium Series, 1984, vol. 50, pp. 78–82.

    Google Scholar 

  10. Mars, W.V. and Fatemi, A., A Literature Survey of Fatigue Analysis Approaches for Rubber, Int. J. Fatigue, 2002, vol. 24, pp. 949–961.

    Article  MATH  Google Scholar 

  11. Cadwell, S.M., Merrill, R.A., Sloman, C.M., and Yost, F.L., Dynamic Fatigue Life of Rubber, Ind. Eng. Chem., 1940, vol. 12, pp. 19–23.

    Google Scholar 

  12. Fielding, J.H., Flex Life and Crystallization of Synthetic Rubber, Ind. Eng. Chem., 1943, vol. 35, no. 12, pp. 1259–1261.

    Article  Google Scholar 

  13. Handbook of Molded and Extruded Rubber, Goodyear Tire and Rubber Company, 1969.

  14. Ayoub, G., Naït–Abdelaziz, M., and Zaïri, F., Multiaxial Fatigue Life Predictors for Rubbers: Application of Recent Developments to a Carbon–Filled SBR, Int. J. Fatigue, 2014, vol. 66, pp. 168–176.

    Article  Google Scholar 

  15. Jardin, A., Leblond, J.–B., Berghezan, D., and Portigliatti, M., Theoretical Modelling and Experimental Study of the Fatigue of Elastomers under Cyclic Loadings of Variable Amplitude, Comp. Rend. Mécan., 2014, vol. 342, no. 8, pp. 450–458.

    Article  Google Scholar 

  16. Zhang, J., Xue, F., Wang, Y., Zhang, X., and Han, S., Strain Energy–Based Rubber Fatigue Life Prediction under the Influence of Temperature, R. Soc. Open Sci., 2018, vol. 5, p. 180951.

    Article  Google Scholar 

  17. Bezukhov, N.I., Fundamentals of the Theory of Elasticity, Plasticity, and Creep, Moscow: Vysshaya Shkola, 1961.

    Google Scholar 

  18. Kostetsky, B.I., Friction and Wear in Machine Parts, in Proc. 2nd All–Union Conf. on Friction and Wear in Machines, Vol. 4, Moscow: USSR Academy of Sciences, 1951, pp. 201–208.

    Google Scholar 

  19. Goryacheva, I.G., Mechanics of Frictional Interaction, Moscow: Nauka, 2001.

    Google Scholar 

  20. Goryacheva, I.G. and Chekina, O.G., Model of Fatigue Fracture of Surfaces, S v. J. Frict. Wear, 1990, vol. 11, no. 3, pp.389–400.

    Google Scholar 

  21. Goryacheva, I.G. and Chekina, O.G., Surface Wear: From Microfracture Modeling to Shape Change Analysis, Izv. RAN. MTT, 1999, no. 5, pp. 131–147.

    Google Scholar 

  22. Goryacheva, I.G. and Torskaya, E.V., Modeling of Fatigue Wear of a Two–Layered Elastic Half–Space in Contact with Periodic System of Indenters, Wear, 2010, vol. 268, no. 11–12, pp. 1417–1422.

    Article  Google Scholar 

  23. Chekina, O.G., Modeling of Fracture of Surface Layers in Contact of Rough Bodies, Prochn. Plastich., 1996, vol. 1, pp. 186–191.

    Google Scholar 

  24. Aleksandrov, V.M., Goryacheva, I.G., and Torskaya, E.V., Sliding Contact of a Smooth Indenter and a Viscoelastic Half–Space (3D Problem), Dokl. Phys., 2010, vol. 55, no. 2, pp. 77–80.

    Article  ADS  MATH  Google Scholar 

  25. Goryacheva, I.G., Stepanov, F.I., and Torskaya, E.V., Sliding of a Smooth Indentor over a Viscoelastic Half–Space When There is Friction, J. Appl. Math. Mech., 2015, vol. 79, no. 6, pp. 596–603.

    Article  MathSciNet  Google Scholar 

  26. Stepanov, F.I., Sliding of Two Smooth Indenters on a Viscoelastic Foundation in the Presence of Friction, J. Appl. Mech. Tech. Phys., 2015, vol. 56, no. 6, pp. 1071–1077.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  27. Johnson, K.L., Contact Mechanics, Cambridge: Cambridge University Press, 1985.

    Book  MATH  Google Scholar 

  28. Stepanov, F.I. and Torskaya, E.V., Study of Stress State of Viscoelastic Half–Space in Sliding Contact with Smooth Indenter, J. Frict. Wear, 2016, vol. 37, no. 2, pp 101–106.

    Google Scholar 

  29. Goryacheva, I.G., Makhovskaya, Yu.Yu., Morozov, A.V., and Stepanov, F.I., Friction of Elastomers: Modeling and Experiment, Moscow: Izhevsk Institute of Computer Science, 2017.

    Google Scholar 

  30. Barenblatt, G.I., Flow, Deformation and Fracture: Lectures on Fluid Mechanics and the Mechanics of Deformable Solids for Mathematicians and Physicists, Cambridge: Cambridge University Press, 2014.

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia

    I. G. Goryacheva, F. I. Stepanov & E. V. Torskaya

Authors
  1. I. G. Goryacheva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. I. Stepanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. V. Torskaya
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. V. Torskaya.

Additional information

Russian Text © I.G. Goryacheva, F.I. Stepanov, E.V. Torskaya, 2018, published in Fizicheskaya Mezomekhanika, 2018, Vol. 21, No. 6, pp. 66–74.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Goryacheva, I.G., Stepanov, F.I. & Torskaya, E.V. Fatigue Wear Modeling of Elastomers. Phys Mesomech 22, 65–72 (2019). https://doi.org/10.1134/S1029959919010107

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1029959919010107

Keywords

Search

Navigation