STRESSES AROUND A HORIZONTAL CIRCULAR OPENING PASSING THROUGH TWO ISOTROPIC LAYERS

ABSTRACT: The article examines the question of determining the stresses in a layered rock mass around a horizontal circular opening. The rock mass consists of
homogeneous isotropic layers. The boundary planes between them are steeply inclined relative to the axis of the opening. Moreover, they are parallel to the horizontal
axis of its cross-section. The influence of the stresses due to pushing the opening extends into the cubic domain. The specified class of tasks is solved with the complex
potential theory and an approach from the mechanics of layered media.
The two layers in the rock mass are replaced by an equivalent layer. The expressions for its physical and technical characteristics and for the stresses on the excavation
boundary are given for it. The expressions for the stresses in the layers are derived.
The results are applied to a real rock mass. The physical and technical constants in the equivalent rock mass were calculated. The stresses in both the equivalent rock
mass and the two layers were obtained. Three tangential normal stress diagrams for points on the excavation boundary are given. The first diagram shows the stresses
in the equivalent rock mass. The stresses in the two layers are shown in the second and third diagrams.