Boussinesq’s viscoelastic problem on normal concentrated force on a half-space surface

Abstract

A problem on the action of a normal concentrated force on the surface of viscoelastic half-space (Boussinesq’s viscoelastic problem) is solved. The relations of the theory of linear isotropic viscoelasticity are used as determining relations. The two relaxation functions corresponding to shift and volumetric expansion states are accepted to be independent. The forms of these functions are not defined concretely. Exact formulae for displacements, strains and stresses components are represented. The used solution method may be used for the solution of a series of problems of the theory of linear isotropic viscoelasticity as well.