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A Parabolic Failure Criterion for Transversely Isotropic Rock: Modification and Verification
Joint Authors
Tang, Huiming
Wang, Ding-Jian
Shen, Peiwu
Cai, Yi
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
It is of great significance to develop a failure criterion that can describe the orientation-dependent behavior of transversely isotropic rocks.
This paper presents a simplified parabolic model that is successful in predicting the strengths of rocks under different confining pressures and bedding angles.
The model is a modified version of the normal parabolic criterion for intact rocks.
The two orientation-dependent parameters (σcβ and kβ) in the model show trigonometric relationships with the bedding angle, and they can be readily determined through uniaxial and triaxial compression tests.
The shape of the failure envelope is determined by kβ, and σcβ only affects the level of rock strength.
With application to 446 experimental data, the predicting results by the parabolic criterion are highly consistent with the experimental data, and the predictive capacity of the proposed criterion is better than those of the McLamore-Gray and Tien-Kuo criteria.
Besides, the prediction errors for the high confining pressure condition and the bedding-sliding failure mode are smaller than those for the low confining pressure and the non-bedding-sliding failure.
Moreover, the prediction error almost remains steady with the decrease of data set, indicating that the proposed criterion is of high precision even if the experimental data are limited.
American Psychological Association (APA)
Wang, Ding-Jian& Tang, Huiming& Shen, Peiwu& Cai, Yi. 2019. A Parabolic Failure Criterion for Transversely Isotropic Rock: Modification and Verification. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1197330
Modern Language Association (MLA)
Wang, Ding-Jian…[et al.]. A Parabolic Failure Criterion for Transversely Isotropic Rock: Modification and Verification. Mathematical Problems in Engineering No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1197330
American Medical Association (AMA)
Wang, Ding-Jian& Tang, Huiming& Shen, Peiwu& Cai, Yi. A Parabolic Failure Criterion for Transversely Isotropic Rock: Modification and Verification. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1197330
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197330