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characterised by logarithmic singularities

By D. Dini A, J. R. Barber B, C. M. Churchman C, A. Sackfield C and D. A. Hills C


We give the contact pressure distribution near a contacting wedge having a slightly rounded form adjacent to a discontinuity in surface profile. It is shown that, well away from the rounding the pressure is logarithmic in form, just as it is near the apex of a sharp wedge. This pair of solutions may then be used to ‘patch in ’ a roundness correction relevant to any punch having a discontinuous gradient. Further, it is noted that the multiplier on the logarithm term is pre-determined by the change in gradient. This process is applied to a finite, slightly blunt wedge, where the exact answer is known, and to a wheel having a worn flat. The agreement with the exact solution in the former case is seen to be very good

Topics: Contact mechanics, Logarithmic singularity, Asymptotic solutions, Rounded wedge
Year: 2008
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Provided by: CiteSeerX
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