Open AccessSTRESS-STRAIN BEHAVIOR OF ROCK MASS AROUND CYLINDRICAL EXCAVATIONS WITH THE PRESET CAUCHY STRESS STRESSES AND DISPLACEMENTS AT THE BOUNDARIES
Author(s) -
А. И. Чанышев,
Igizar M. Abdulin
Publication year - 2021
Publication title -
interèkspo geo-sibirʹ
Language(s) - English
Resource type - Journals
ISSN - 2618-981X
DOI - 10.33764/2618-981x-2021-2-4-158-163
Subject(s) - rock mass classification , excavation , stress (linguistics) , geology , rotation (mathematics) , boundary (topology) , polar coordinate system , cauchy distribution , symmetry (geometry) , cylindrical coordinate system , geotechnical engineering , geometry , mathematical analysis , mathematics , philosophy , linguistics
The authors solve the problem on the stresses and strains of rock mass around a cylindrical excavation with the preset vectors of the Cauchy stresses and displacements at the boundary. It is assumed that the surrounding rock mass is elastic. Along the cylindrical excavation (free of stresses), displacements are measured as functions of two surface coordinates (polar angle and length along the symmetry axis of the excavation). These measurements are used to determine all components of tensors of stresses and strains at the boundary, and all coordinates of rotation vector. It is shown how this information can be used in the stress-strain analysis of rock mass farther from the excavation.