 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| L. Huang, H.Z. Tang, Z.Q. Gan, J.Z. Huang, X. Pan, and S.M. Dong, "Numerical Calibration of Stress Intensity Factor for Transversely Isotropic Central Cracked Brazilian Disk," Mech. Solids. 57 (4), 835-855 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
4 |
Pages |
835-855 |
| DOI |
10.3103/S0025654422040082 |
| Title |
Numerical Calibration of Stress Intensity Factor for Transversely Isotropic Central Cracked Brazilian Disk |
| Author(s) |
L. Huang (Key Laboratory of Deep Underground Science and Engineering, Ministry of Education, College of Architecture and Environment, Sichuan University, Chengdu 610065, China; Failure Mechanics and Engineering Disaster Prevention Key Laboratory of Sichuan Province, Sichuan University, Chengdu 610065, China)
H.Z. Tang (Key Laboratory of Deep Underground Science and Engineering, Ministry of Education, College of Architecture and Environment, Sichuan University, Chengdu 610065, China; Failure Mechanics and Engineering Disaster Prevention Key Laboratory of Sichuan Province, Sichuan University, Chengdu 610065, China)
Z.Q. Gan (Key Laboratory of Deep Underground Science and Engineering, Ministry of Education, College of Architecture and Environment, Sichuan University, Chengdu 610065, China; Failure Mechanics and Engineering Disaster Prevention Key Laboratory of Sichuan Province, Sichuan University, Chengdu 610065, China)
J.Z. Huang (Key Laboratory of Deep Underground Science and Engineering, Ministry of Education, College of Architecture and Environment, Sichuan University, Chengdu 610065, China; Failure Mechanics and Engineering Disaster Prevention Key Laboratory of Sichuan Province, Sichuan University, Chengdu 610065, China)
X. Pan (Key Laboratory of Deep Underground Science and Engineering, Ministry of Education, College of Architecture and Environment, Sichuan University, Chengdu 610065, China; Failure Mechanics and Engineering Disaster Prevention Key Laboratory of Sichuan Province, Sichuan University, Chengdu 610065, China)
S.M. Dong (Key Laboratory of Deep Underground Science and Engineering, Ministry of Education, College of Architecture and Environment, Sichuan University, Chengdu 610065, China; Failure Mechanics and Engineering Disaster Prevention Key Laboratory of Sichuan Province, Sichuan University, Chengdu 610065, China, smdong@scu.edu.cn) |
| Abstract |
To obtain the stress intensity factors (SIFs) of transversely isotropic central cracked Brazilian disk (CCBD), an anisotropy coefficient f is introduced based on the isotropic analytical formula. The coefficient f is related to the anisotropy orientation β, the anisotropy ratio of Young’s modulus ξ, and the apparent shear modulus η. The comprehensive calibration of f is accomplished by the finite element method. Then the formulae for mode I and II SIFs are obtained by fitting f to the analytical solutions of the isotropic CCBD, which realizes the generalization and application of the formulae in transversely isotropic rocks based on the isotropic condition. The new formulae presented in this paper can calculate the SIFs for any given elastic modulus, crack length, anisotropy orientation and certain loading angle range (0°−25°). The results show that the relative errors between the formula and the numerical simulation results are within 5%, and the relative errors with other researches are within 2.8%. Both the SIFs and the correlation coefficients M1(β), M2(β), and N1(β) show a variation of sine or cosine concerning the anisotropy orientation β. And the influence of ξ and η on SIFs can be negligible by adjusting β to some specific angles given in this paper. |
| Keywords |
stress intensity factor, transversely isotropic, central cracked Brazilian disk, calibration formula |
| Received |
04 January 2022 | Revised |
22 March 2022 | Accepted |
04 April 2022 |
| Link to Fulltext |
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