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Generalised Model of Wear in Contact Problems: The Case of Oscillatory Load

In: Integral Methods in Science and Engineering

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  • D. Ponomarev

    (Centre Inria d’Université Côte d’Azur, FACTAS team
    St. Petersburg Department of Steklov Mathematical Institute)

Abstract

In this short paper, we consider a sliding punch problem under recently proposed model of wear which is based on the Riemann-Liouville fractional integral relation between pressure and worn volume, and incorporates another additional effect pertinent to relaxation. A particular case of oscillatory (time-harmonic) load is studied. The time-dependent stationary state is identified in terms of eigenfunctions of an auxiliary integral operator. Convergence to this stationary state is quantified. Moreover, numerical simulations have been conducted in order to illustrate the obtained results and study qualitative dependence on two main model parameters.

Suggested Citation

  • D. Ponomarev, 2023. "Generalised Model of Wear in Contact Problems: The Case of Oscillatory Load," Springer Books, in: Christian Constanda & Bardo E.J. Bodmann & Paul J. Harris (ed.), Integral Methods in Science and Engineering, chapter 0, pages 255-267, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-34099-4_21
    DOI: 10.1007/978-3-031-34099-4_21
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