Dynamics of a two-layer half-space with initial stresses under the impact of a moving load

Abstract

In this article, within the framework of the linearized theory of elasticity for bodies with initial stresses, we consider a plane steady-state problem of perturbation of a two-layer half-space with an arbitrary form of elastic potential by a surface load moving at a constant speed with initial stresses. The solution is obtained in a general form for a compressible and incompressible half-space and various contact conditions. Numerical results are given for half-spaces of compressible and incompressible materials, respectively, with an elastic potential of a harmonic type and an elastic potential of the Bartenev-Khazanovich type under rigid and sliding contact conditions.

Keywords

• layered half-space
• initial stresses
• moving load