Acta Mechanica

, Volume 230, Issue 6, pp 2295–2307 | Cite as

Effective wear coefficient and wearing-in period for a functionally graded wear-resisting punch

  • Ivan I. Argatov
  • Young S. ChaiEmail author


A two-dimensional wear contact problem for an elastic layer and a wear-resisting punch is considered. The contact area and the contact load are assumed to be fixed, whereas the punch’s shape changes according to Archard’s law of wear with variable wear coefficient. By neglecting the effect of tangential tractions, the problem of determining the normal contact pressure is reduced to a two-dimensional integral equation containing a Fredholm coordinate operator and a Volterra time operator. By the method of separation of variables, the transient contact pressure distribution has been constructed in terms of the solutions of some eigenvalue problem. A special attention is paid to quantities of practical interest, such as the wearing-in period and the transient effective wear coefficient.


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Conflict of interest

The authors of the article declare not to have conflict of interest that may interfere in the impartiality of the scientific work.


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© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institut für MechanikTechnische Universität BerlinBerlinGermany
  2. 2.School of Mechanical EngineeringYeungnam UniversityGyeongsanSouth Korea

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