Guzev, MA 2012, 'Non-Euclidean model for description of rock', in Y Potvin (ed.), Deep Mining 2012: Proceedings of the Sixth International Seminar on Deep and High Stress Mining, Australian Centre for Geomechanics, Perth, pp. 339-344, https://doi.org/10.36487/ACG_rep/1201_24_guzev
(https://papers.acg.uwa.edu.au/p/1201_24_guzev/)
Abstract: The author proposes the non-Euclidean continuum model for the description of the stress-field distribution around underground excavations with a round cross-section. The solution for the parameter of compatibility and the stress field is constructed. The wavy behaviour of the stress components is obtained. An analysis allows us to link the macroscopic characteristics of zonal rock fracture around a working with the non-Euclidean parameter.