A new three-dimensional Hoek-Brown strength criterion

Jiang, Hua; Xie, Yingchao

doi:10.1007/s10409-012-0054-2

Cited by 24 publications

(3 citation statements)

References 21 publications

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“…29,31 The relationship between the conventional HB criterion and this subcategory resembles that between the Mohr-Coulomb and Drucker-Prager criteria. 32 Typical examples of the second subcategory include Zhang and Zhu's 3D HB criterion ( Figure 1C), 29,30 which is developed based on the Mogi criterion, 5 and Jiang's 3D HB criterion ( Figure 1D) 21,33 developed from the Hsieh-Ting-Chen 34 criterion for concrete. However, these criteria may have problems with stress paths near concave points and will cause inconvenience in numerical applications.…”

Section: Introductionmentioning

confidence: 99%

“…However, these criteria may have problems with stress paths near concave points and will cause inconvenience in numerical applications. 33 The third subcategory includes criteria by Lee et al, 22 Zhang et al, 23 Jiang and Zhao, 24 and Jiang. 25 Among them, Lee et al's 22 is identical to Zhang et al's 23 and thus is unified with the latter and referred to as the WW 3D HB criterion in this paper, which is described in details in Section 4 with an emphasis on the advantages of the elliptical Lode dependence on the deviatoric plane over other types of Lode dependences.…”

Section: Introductionmentioning

confidence: 99%

“…Typical examples of the second subcategory include Zhang and Zhu's 3D HB criterion (Figure 1C), 29,30 which is developed based on the Mogi criterion, 5 and Jiang's 3D HB criterion (Figure 1D) 21,33 developed from the Hsieh‐Ting‐Chen 34 criterion for concrete. However, these criteria may have problems with stress paths near concave points and will cause inconvenience in numerical applications 33 . The third subcategory includes criteria by Lee et al, 22 Zhang et al, 23 Jiang and Zhao, 24 and Jiang 25 .…”

Section: Introductionmentioning

confidence: 99%

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A three‐dimensional Hoek–Brown failure criterion based on an elliptical Lode dependence

Jiang

Yang

2020

Num Anal Meth Geomechanics

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A new three-dimensional (3D) Hoek-Brown (HB) failure criterion based on an elliptical Lode dependence is proposed to describe failure of rocks and concrete under multiaxial stress states. This criterion not only inherits all benefits of the classical HB criterion that is developed for the triaxial compression (TXC) of rocks but also accounts for the effect of the intermediate principal stress. It is capable of representing the strength difference between the triaxial extension (TXE) and TXC with the introduction of an additional coefficient k (0.5 ≤ k ≤ 1.0), which can be derived from TXE tests or taken as 0.53 for rocks in cases where the TXE test data is unavailable. Other two material constants (m i and σ ci) involved in this criterion can be obtained from TXC tests. Additionally, the failure surface of this criterion is smooth and convex on the deviatoric stress plane when 0.5 < k ≤ 1.0. The new criterion achieves very good fit to the test data of TXC/TXE, biaxial compression, and polyaxial compression (PXC) on a wide variety of rock materials and concrete, reported in the literature. Comparison of the new criterion with an existing 3D HB criterion based on the same Lode dependence has demonstrated that the new criterion performs better than the latter for test data of rock and concrete under multiaxial stress states except for PXC test data of one rock type. Finally, the influence of values of k on the accuracy of the new criterion is discussed.

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