Skip to main navigation menu Skip to main content Skip to site footer

Articles

Vol. 2 No. 2 (2015)

Investigation of Displacements Fields Due to Normal and Tangential Loads on Bars of Finite Thickness

DOI
https://doi.org/10.15377/2409-9848.2015.02.02.1
Submitted
August 13, 2015
Published
2015-08-13

Abstract

The challenging topic of a cylinder in line contact with bars of finite thickness, reproducing typical fretting fatigue experiments, is studied by means of the super moiré interferometry technique. The authors consider a normal load on a model producing a contact area of about 4 mm, and subsequently on a tangential load at nearly the sliding limit. The displacement fields, due to the normal load, show that the maximum principal stresses at the edge of the contact area are significantly different from those predicted for the half plane, as well as for bars with a significant thickness, so that the dimension of the contact area and the pressure distribution are nearly the same as those of the half plane. This is confirmed by numerical results obtained by Fellows et al. [7].

Moreover, the experimental results show that the surface stresses induced are not as dependent on the thickness of the bar as those induced by the normal load.

References

  1. Nowell D and Hills DA. Mechanics of fretting fatigue testing. Int J Mech Sci 1987; 29(5): 355-365. http://dx.doi.org/10.1016/0020-7403(87)90117-2
  2. Smith JO and Liu CK. Stress due to tangential and normal loads on an elastic solid. Trans ASME, Series E. J Appl Mech 1953; 20: 157-166.
  3. Mindlin RD and Derenciewicz H. Elastic spheres in contact under varying oblique forces. Trans ASME, Series E. J Appl Mechanics 1953; 20: 237-245.
  4. Poritsky H. Stresses and deflections of cylindrical bodies in contact with application to contact of gears and of locomotive wheels. Trans ASME, Series E. J Appl Mechanics 1950; 72: 191-201.
  5. Bentall RH and Johnson KL. An elastic strip in plane rolling contact. Int J Mech Sci 1968; 10: 637-663. http://dx.doi.org/10.1016/0020-7403(68)90070-2
  6. Nowell D, Hills DA, "Contact problems incorporating elastic layers", Int. J. Solids and Struct 1988; 1: 105-115. http://dx.doi.org/10.1016/0020-7683(88)90102-3
  7. Fellows LJ, Nowell D, Hills DA. Wear 1995; 185: 235-238. http://dx.doi.org/10.1016/0043-1648(95)06613-6
  8. Post D. Moiré Interferometry: Advances and Application. Experimental Mechanics 1991; 31(3): 276-280. http://dx.doi.org/10.1007/BF02326072
  9. Trentadue B, Sun WM and Pappalettere C. Study of a supermoiré interferometry by means of an image processing program. ÖIAZ Journal 1995; 295-299.
  10. Demelio G, Pappalettere C, Sun WM and Trentadue B. Experimental stress analysis for contact problems with friction by means of Moiré-interferometry. Photomécanique 95, Cachan, Paris 14-15-16 Mars, 1995.
  11. Timoshenko and Goodier. Theory of elasticity. McGraw Hill, New York 1970.
  12. Ciavarella M, Demelio G and Monno G. Studio numericio dello stato tensionale in un problema di contatto con attrito. XXIV AIAS Conference, Parma, Italy 1995; 318-329: 27-30 Settembre.