Approximate Solution of an Axisymmetric Contact Problem with Allowance for Tangential Displacements on the Contact Surface

A structurally nonlinear contact problem of a punch shaped like a paraboloid of revolution is studied. An equation for the contact‐pressure density is derived with allowance for the radial tangential displacements of the boundary points of an elastic half‐space. A method for constructing a closed‐form approximate solution is proposed. The effect of the tangential displacements on the main contact parameters is discussed.