In this paper an efficient numerical procedure for the efficient solution of general three-dimensional elastic contacts where the bodies in the neighbourhood of the point of contact may be represented as half-spaces is described. The solution relies on a piecewise-linear approximation to the true contact pressure distribution.
JohnsonK. L.Contact Mechanics, 1985, p. 146 (Cambridge University Press, Cambridge).
2.
GoodmanL. E.Development of the three dimensional theory of elasticity In R. D. Mindlin and Applied Mechanics (Ed. HerrmannG.), 1974, pp. 25–65 (Pergamon, Oxford).
3.
BenthallR. H.JohnsonK. L.An elastic strip in plane rolling contactInt. J. Mech. Sci., 1968, 10, 637–663.
4.
TrumanC. E.A study of plane, axi-symmetric and general three dimensional elastic contacts. PhD thesis, Mathematics Department, Nottingham Trent University, 1997, pp. 157–165.
5.
TrumanC. E.The development of a linear influence function for an elastic half-spaceJ. Strain Analysis, 1998, 33 (5), 357–365.