To Clarify Decision on Action of Concentrated Force to Elastic Quarter-Space for Arbitrary Poisson’s Ratio

Previously, the author obtained an analytical solution for determining vertical displacements of homogeneous isotropic quarter-space face, which is affected by a concentrated force. This expression gave exact face made incompressible material and approximate Poisson ratio different from 0.5. Later, in published paper S. V. Bosakov P. D. Skachek “Action Concentrated Force on 1/8 Homogeneous Isotropic Space”, it was shown that combining solutions half-space action forces, one can find one-eighth space. The resulting expressions allow solving contact problems non-classical domains form quarter space eighth Below, obtains first approximation In this paper, gives force, widely using special method developed works M. Alexandrov allowing to calculate successfully improper integrals. constructed graphs show good results when with Poisson’s 0.5 equal It should be noted approach indicated used all faces sharpened forces tangent edge will solve taking into account friction zone beam or plate.