Abstract
The deformation of an unbounded elastic body with two semi-infinite cylindrical cavities (Fig.1) under uniform compression by a load p ∞ at infinity, perpendicular to the axis of symmetry is considered. An infinite cylinder r⩽ a and an infinite body with a hole of radius b are separated by surfaces r = a and r = b from the body mentioned. For | z|< c the interval between them is filled with thin rings. For a = 0 a bottomless pit is obtained that is partially filled with discs of radius b; the case b − a ⪡ b is of special interest, i.e., when the distance between the slot edges is several times less than the hole diameter. In this case brittle fracture occurs by spalling of the cylindrical part (a projection that is called a core) and transformation of the body into a pit. The dead-end of the slot is the focus of the stress concentration, sometimes resulting in phenomena of the rock-burst type in hard rocks. Conditions for their origination are clarified, which is important for estimates of the magnitude of mountain pressure. Methods utilized in /1/are extended in this paper and the results of this research are refined.
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