Determination of displacement at the boundary of a body due to discontinuities in the medium (Q1921725)

We use an elastic half-space as an example to study the dependence of the displacements at its boundary on the instantaneous formation of discontinuities inside the half-space over a certain finite plane surface. To solve this problem with allowance for its three-dimensional nature, we examine a half-space weakened by plane slits whose opposing surfaces are displaced relative to one another over the period of time in accordance with a certain law. Assuming that this law is known, we determine the displacements caused by this law at the boundary of the body. The boundary is assumed to be free of external forces.