1. Orientation of Fracture in a Brittle Solid under Conventional Triaxial Compression.
- Author
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Panteleev, I. A. and Lyakhovsky, V. A.
- 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. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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