CONTACT STRESSES ON BODIES WITH ARBITRARY GEOMETRY, APPLICATIONS TO WHEELS AND RAILS. TECHNICAL REPORT NO. 7

A general formulation of frictionless contact stress problems is given. An inverse iterative method is introduced, which converts the problem to the solution of an integral equation subject to a boundary condition. By modifying the previously described simply discretized method, and by introducing an automatic mesh generating procedure for the changing contact region, it has been possible to solve the integral equation for pressure distribution and the contact patch, numerically. The method has made major improvements in the generality, stability, accuracy and efficiency of the numerical procedure. The method has been verified by comparison with known solutions for the Hertzian case. Several numerical examples of counterformal and conformal problems have been solved, which include the first known solutions of non-Hertzian counterformal and conformal contact of a railroad wheel and rail. The mesh generation and boundary iteration procedure introduced is applicable to a wider class of problems with changing boundaries, such as: determination of wheel-rail adhesion-slip boundary, determination of elastic-plastic interfaces for residual stress problems, etc.

  • Corporate Authors:

    University of Pennsylvania, Philadelphia

    Department of Mechanical Engineering and Applied Mechanics
    Philadelphia, PA  United States  19104

    Federal Railroad Administration

    1200 New Jersey Avenue, SE
    Washington, DC  United States  20590
  • Authors:
    • Hashemi, J
    • Paul, B
  • Publication Date: 1979-4

Media Info

  • Features: Figures; References; Tables;
  • Pagination: 130 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00308276
  • Record Type: Publication
  • Report/Paper Numbers: FRA/ORD-79/23 Tech Rpt., MEAM Rpt. 79-2
  • Contract Numbers: DOT-OS-60144
  • Files: TRIS, USDOT
  • Created Date: Feb 11 1980 12:00AM