Stress-strain state of an inhomogeneous half-space with Poisson's ratio that varies under the pressure of a round cylinder-shaped indenter

Abstract

Formulae have been obtained which make it possible to determine the stress-strain state at any point in an inhomogeneous half-space, where Poisson's ratio continuously varies from one finite value at the surface to another finite value at an infinitely great depth, when a round cylinder-shaped indenter presses on the surface without friction. Numerous calculations have been made in accordance with the obtained formulae and, as a result, the distribution of stresses, strains and applied mechanical energy (as well as its constituents, i.e. the energy of volume variation and the forming energy in the contact area (on the surface and in the bulk)) were thoroughly investigated. The results obtained were discussed in the light of their possible utilization in the friction and wear theory and for the explanation of certain phenomena related to the inhomogeneity of contacting materials as well as for practical recommendations in relation to prospective materials for mating units.