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<p>A&#xa0;plane problem of the elasticity theory for a&#xa0;circular disk with an edge radial crack under a&#xa0;model contact load, taking into account the friction forces, is solved. The problem is reduced to a&#xa0;singular integral equation of the first kind with a&#xa0;Cauchy kernel, which is solved by the numerical mechanical quadrature method. Zones of contact load location on the disk contour, favorable for crack opening displacement and subsequent growth by the Mode&#xa0;I fracture mechanism, are established. The maximum values of mixed-mode stress intensity factors <i>K</i><sub>Iθ</sub>, which control crack growth by this mechanism, are investigated. The numerical results are obtained for a&#xa0;railway wheel.</p>

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A circular disc with an edge radial Mode I crack under a model contact loading

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • O. P. Datsyshyn,
  • H. P. Marchenko,
  • I. A. Rudavska,
  • A. Yu. Glazov

摘要

A plane problem of the elasticity theory for a circular disk with an edge radial crack under a model contact load, taking into account the friction forces, is solved. The problem is reduced to a singular integral equation of the first kind with a Cauchy kernel, which is solved by the numerical mechanical quadrature method. Zones of contact load location on the disk contour, favorable for crack opening displacement and subsequent growth by the Mode I fracture mechanism, are established. The maximum values of mixed-mode stress intensity factors KIθ, which control crack growth by this mechanism, are investigated. The numerical results are obtained for a railway wheel.