Plane and axisymmetric contact problems for rough elastic bodies: PMM vol. 43, no. l, 1979, pp. 99–105

Abstract

Plane and axisymmetric contact problems for a rough layer are studied in a nonlinear formulation. In the particular case of a very thick layer, the principal term of the kernel under consideration in the nonlinear integral equation agrees with the kernel examined in [1,2], The solution of the problems reduces to investigating nonlinear integral equations of Hammerstein type, for which we use successive approximation. Numerical results are presented which show the change in the nature of the pressure distribution under the stamp when roughness of the foundation is taken into account.