THEORETICAL SOLUTION TO THE PROBLEM OF THE PROPAGATION OF STRESSES IN SOILS WHEN EXPOSED TO AXISYMMETRIC RADIAL EFFECTIVE STRESSES

Abstract

The article discusses issues related to the determination of radial and tangential stresses in the well in the presence of gravitational pressure of the soil mass. The basis is the well-known theoretical solutions of the axisymmetric problem of a thick-walled pipe, namely, the Lame solution. The action of two pressures is considered: the internal pressure р 1 and the external р 2, uniformly distributed over the inner and outer surfaces of the hollow cylinder. As a result of theoretical studies, it was found that the use of the elasticity theory equation to determine radial and tangential stresses in a well with an internal effective pressure s r = р 1, leads to its slow horizontal decrease, which is not observed in practice. The authors proposed solutions that make it possible to obtain closer values of s r for soils. It was also experimentally proved that the value of the active compression region for soil wells with internal effective pressure р 1 is almost two times higher than the value obtained for stamp tests in half-space conditions. The authors obtained mathematical expressions of the strength and stability of wells from gravitational loads of soil.