Mathematical modeling of the process of the deformation of an isotropic half-space under the action of distributed load at elastic fixing of the boundary

Abstract

We explore the questions of numerical realization of the analytical solution of the problem of the theory of elasticity about an axisymmetric deformation of half-space under the action of normal load distributed over a circular area. We assume that the surface of half-space is elastically fixed outside the domain of application of the load, and the shear stresses on the boundary are absent. The algorithm for calculating of the vertical displacements at the points of the boundary plane is suggested. The influence of elastic fixing of surface of half-space on the distribution of displacements at the boundary is analyzed.