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IssuesArchive of Issues2022-4pp.835-855

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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 2022Revised 22 March 2022Accepted 04 April 2022
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