Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2022-5pp.1016-1034

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Total articles in the database: 10864
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I.A. Panteleev and V.A. Lyakhovsky, "Orientation of Fracture in a Brittle Solid under Conventional Triaxial Compression," Mech. Solids. 57 (5), 1016-1034 (2022)
Year 2022 Volume 57 Number 5 Pages 1016-1034
DOI 10.3103/S0025654422050107
Title Orientation of Fracture in a Brittle Solid under Conventional Triaxial Compression
Author(s) I.A. Panteleev (Institute of Continuous Media Mechanics of the Ural Branch of RAS, Perm, 614013 Russia, pia@icmm.ru)
V.A. Lyakhovsky (Geological Survey of Israel, Jerusalem, Israel, vladimir.lyakhovsky@gmail.com)
Abstract We present a generalization of a scalar nonlinear damage rheology model of a brittle solid to the case of a tensor damage parameter. The main values of damage tensor describe the reduction in the cross-sectional area of the material in three orthogonal directions. The introduced damage tensor allows decribing the orthotropy of the elastic properties of the material caused by the development of microfractures during the deformation. For the case of traditional triaxial compression, two general problems are considered: the orientation of damage (microfractures) in the entire material and the orientation of the localized damage zone, ensuring the maximum rate of its growth. The solution of the first problem shows that, the degree of disorientation of the original fracturing and the growth rate of new fracturing depend on the damage anisotropy parameter. The solution of the second problem demonstrates that the optimal angle of inclination of the localized damage zone is the Mohr-Coulomb angle with microfractures inside the zone oriented either strictly vertically or at an angle close to the Mohr-Coulomb angle.
Keywords damage tensor, nonlinear mechanics, orientation effects, directional fracturing, fracture localization zone, damage-induced anisotropy
Received 13 October 2021Revised 12 December 2021Accepted 13 December 2021
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