On the basis of a simplified rigid model of a layered elastic body, an engineering technique for determining the parameters of a contact is proposed for the introduction of a spherical indenter into it. The model is based on the dependence of the displacement of the points of the half-space along the axis of symmetry on the magnitude of the applied distributed load. The reduced elasticity modulus and the Poisson's ratio are determined depending on the elastic properties of the base and coating materials, the thickness of the coating and the radius of the contact area. Expressions are given for determining the parameters of a contact when a spherical indenter is introduced into a layered body. The obtained results are compared with the exact solution of the spatial axisymmetric problem for describing the stress-strain state in an elastic layer when a spherical indenter is introduced into it, using the Fourier-Bessel integral transformation method. An analysis of the comparison of the results obtained with the results of exact solutions makes it possible to recommend the proposed engineering method for practical use.

The problems of elastic sinking of materials and elastic restoration of an imprint under loading of an elastic-plastic half-space with an axisymmetric load of the form,P(r)=P0(1-r2/a2)β where 0<β<0.5 are considered. Expressions are obtained that describing the stress-strain state of an elastoplastic half-space. The conditions of the onset of plastic deformation in the near-surface layer and on the half-space of surface are considered depending on the parameter β.

No abstract

No abstract

No abstract