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Journal of Mining Sciences

2015 year, number 2

Stress State in the Vicinity of an Excavation in a Deep Horizontal Bed

R. L. SALGANIK1, A. A. MISHCHENKO2, A. A. FEDOTOV2
1Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, Moscow, 119526 Russia
2ITIN Science and Technology Association, Dmitrovskii proezd 10, Moscow, 127422 Russia
Keywords: bed, underground excavation, Barenblatt–Khristianovich model, simulation of crack in the Prandtl field

Abstract

Based on the approach using the method of splicing asymptotic expansions with the retention of only the dominant term of the asymptotics, in plane deformation conditions, the authors model stress state of rock mass with the horizontal daylight surface and a horizontal bed with a long slot-like excavation. The rock mass is assumed elastic, uniform and isotropic, whereas the bed undergoes elastic and, then, elastoplastic deformation. In the latter case, the length of the face zone of plastic deformation is supposed to exceed the bed thickness and to be less than the length of the excavation.