Non–Euclidean Model of the Zonal Disintegration of Rocks around an Underground Working

The non–Euclidean continuum model for the description of the stress–field distribution around underground workings with a round cross section is considered. From the physical viewpoint, the non–Euclideanness parameter determines the incompatibility of elastic deformations in a rock. It is shown that disintegration zones can be identified with the parts of the rock in which this parameter takes on the maximum values and the force discontinuity criterion for the medium holds. An analysis allows one to relate the macroscopic characteristics of zonal rock fracture around a working to the non–Euclideanness parameter.