Influence of Boundary Conditions of a Contact Problem on the Stress Distribution in a Semi-Infinite Space

Abstract

The main tasks that arise in the process of mining are the creation of conditions that ensure the stability, strength and reliability of rock formations, allowing efficient and safe implementation of technological modes of mining. It should be noted that the annual damage caused by landslides around the world amounts to huge amounts commensurate with earthquake damage, the same ratio with human casualties. Therefore, the problem of quantitative forecasting of stability, creep and strength of slopes and slopes is of paramount national economic importance. The purpose of this work, carried out within AP19678682 grant project, is to develop a methodology for calculating the stress state of a half-space under the action of massive bodies in conditions of a rough contact surface. In the course of the conducted research, a mathematical model of the stress state of a half-space in conditions of a rough contact surface was developed. A comparative analysis of the study results of stress state at elastic half-space under the action of a massive body under conditions of a smooth and rough contact surface showed that the normal stresses with a smooth surface are 1 in the center and 1.4 on the sides, and the rough contact surface on the contact has stresses 1 in the center and 1.1 on the sides. The surface fades at a depth of 400, and with a rough surface it fades at a depth of 300. Analysis of the obtained results of the distribution of normal and tangential stresses in the depth of the array showed that the greater the width of the base.