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On the contact mechanics of a rolling cylinder on a graded coating. Part 1: Analytical formulation

Alinia, Y ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.mechmat.2013.08.010
  3. Abstract:
  4. In this paper, the fully coupled rolling contact problem of a graded coating/substrate system under the action of a rigid cylinder is investigated. Using the singular integral equation approach, the governing equations of the rolling contact problem are constructed for all possible stick/slip regimes. Applying the Gauss-Chebyshev numerical integration method, the governing equations are converted to systems of algebraic equations. A new numerical algorithm is proposed to solve these systems of equations. Both the coupled and the uncoupled solutions to the problem are found through an implemented iterative procedure. In Part I of this paper, the analytical formulation of the rolling contact problem and the discretization of the governing equations are introduced for all assumed stick/slip regimes. A detailed discussion of the proposed numerical algorithm, the iteration procedure and the numerical results, obtained using the analytical formulation, are given in Part II
  5. Keywords:
  6. FGM coatings ; Analytical formulation ; Contact Mechanics ; Numerical integration methods ; Rolling contacts ; Singular integral equations ; Stick/slip regime ; Systems of algebraic equations ; Systems of equations ; Algorithms ; Coatings ; Cylinders (shapes) ; Deformation ; Iterative methods ; Stick-slip ; Numerical methods
  7. Source: Mechanics of Materials ; Vol. 68, issue , 2014 , p. 207-216
  8. URL: http://www.sciencedirect.com/science/article/pii/S0167663613001646