 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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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 2021 | Revised |
12 December 2021 | Accepted |
13 December 2021 |
| Link to Fulltext |
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