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Abstract

Rolling contacts are found in a multitude of engineering applications, such as wheel–rail or tire–street contacts, ball bearings, gears, and various transport mechanisms. In this chapter, it will be shown that the tangentially loaded, three-dimensional rolling contact can also be mapped to a one-dimensional equivalent system. In this way, the method of dimensionality reduction allows complex problems, such as the oscillating rolling contact, to be investigated.

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References

  1. V.L. Popov, Contact Mechanics and Friction, Physical Principles and Applications (Springer, Berlin, 2010)

    Book  MATH  Google Scholar 

  2. K.L. Johnson, Contact Mechanics, Chapter 8 (Cambridge University Press, Cambridge, 1985)

    Book  Google Scholar 

  3. E. Melan, Theorie statisch unbestimmter Systeme aus ideal-plastischem Baustoff. Sitzungsber. d.Akad. d. Wiss., Wien 2A, 145, pp. 195–218 (1936)

    Google Scholar 

  4. A. Klarbring, M. Ciavarella, J.R. Barber, Shakedown in elastic contact problems with Coulomb friction. Int. J. Solids Struct. 44(11), 8355 (2007)

    Article  MATH  Google Scholar 

  5. J.R. Barber, A. Klarbring, M. Ciavarella, Shakedown in frictional contact problems for the continuum. Comptes Rendus Mécanique. 336, 34–41 (2008)

    Article  MATH  Google Scholar 

  6. R. Wetter, Shakedown and induced microslip of an oscillating frictional contact. Phys. Mesomech. 15(5), 239–299 (2012)

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  7. R. Wetter, V.L. Popov, Shakedown limits for an oscillating, elastic rolling contact with Coulomb friction. Int. J. Solids Struct. 51(5), 930–935 (2013)

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Correspondence to Valentin L. Popov .

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Wetter, R., Popov, V.L., Heß, M. (2015). Rolling Contact. In: Method of Dimensionality Reduction in Contact Mechanics and Friction. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53876-6_6

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  • DOI: https://doi.org/10.1007/978-3-642-53876-6_6

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  • Publisher Name: Springer, Berlin, Heidelberg

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