A Three-Dimensional Failure Criterion for Hard Rocks Under True Triaxial Compression

2019 ◽  
Vol 53 (1) ◽  
pp. 103-111 ◽  
Author(s):  
Xia-Ting Feng ◽  
Rui Kong ◽  
Chengxiang Yang ◽  
Xiwei Zhang ◽  
Zhaofeng Wang ◽  
...  
Author(s):  
Xia-Ting Feng ◽  
Jun Zhao ◽  
Zhaofeng Wang ◽  
Cheng-Xiang Yang ◽  
Qiang Han ◽  
...  

In order to study the deformation and failure mechanism of hard rocks, true triaxial compression tests were conducted on four type of hard rocks to obtain the complete stress-strain curve and failure modes. Under true triaxial compression condition, the shape of the complete stress-strain curve can be divided into three types: elastic-brittle (EB), elastic-plastic-brittle (EPB), and elastic-plastic-ductile (EPD) types. According to the different post-peak deformation behaviours, the stress-strain curves of elastic-plastic-brittle (EPB) type can be subdivided into three sub-categories: post-peak instantaneous brittle (EPB-I) type, post-peak multi-stage brittle (EPB-M) type, and post-peak delayed brittle (EPB-D) type. The stress-strain curves change from EPD to EPB-D to EPB-M to EPB-I to EB with increasing differential stress (σ2-σ3). The deformation characteristics are dependent on the σ2, σ3, mineral composition and mineral texture to the rock sample. An increase in σ3 leads to an increased ductility, while an increase in σ2 leads to an increased brittleness. Moreover, rocks with regular mineral texture and low mineral hardness are more prone to ductility. When the deformation curve is transformed from EPD to EPB to EB, the tensile crack is gradually dominant, and the macroscopic failure angle is gradually steeper.


2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Yaohui Gao ◽  
Chunsheng Zhang ◽  
Zhaofeng Wang ◽  
Jun Chen

The joint configuration and the intermediate principal stress have a significant influence on the strength of rock masses in underground engineering. A simple three-dimensional failure criterion is developed in this study to predict the true triaxial strength of jointed rock masses. The proposed failure criterion in the deviatoric and meridian planes adopts the elliptic and hyperbolic forms to approximate the Willam–Warnke and Mohr–Coulomb failure criterion, respectively. The four parameters in the proposed failure criterion have close relationships with the cohesion and the internal friction angle and can be linked with the joint inclination angle using a cosine function. Two suits of true triaxial strength data are collected to validate the correctness of the proposed failure criterion. Compared with other failure criteria, the proposed failure criterion is more reasonable and acceptable to describe the strength of jointed rock masses.


2019 ◽  
Vol 260 ◽  
pp. 105222 ◽  
Author(s):  
Yan Zhang ◽  
Xia-Ting Feng ◽  
Xiwei Zhang ◽  
Zhaofeng Wang ◽  
Mostafa Sharifzadeh ◽  
...  

2017 ◽  
Vol 54 (6) ◽  
pp. 862-880 ◽  
Author(s):  
Y.H. Xu ◽  
M. Cai ◽  
X.W. Zhang ◽  
X.T. Feng

The influence of the end effect on rock strength in true triaxial compression testing was studied using a numerical approach. The influence of the intermediate principal stress (σ2) on rock strength was isolated by using the two-dimensional Mohr–Coulomb failure criterion that depends only on the major principal stress (σ1) and minor principal stress (σ3). Thus, any enhancement to the rock strength with the increase of σ2 can be attributed to the end effect. It was shown that the end effect can result in an apparent σ2 effect, as long as the coefficient of friction (μ) at the rock specimen – steel platen contacts is not zero and the specimen in the σ2 loading direction is squat. When the strengthening due to the increase of σ2 predicted by a theoretical failure criterion was added to the strengthening due to the end effect, the results were in good agreement with the observed σ2 effect from some previous laboratory tests, indicating that the observed σ2 effect in true triaxial compression testing could be partially influenced by the end effect, particularly when σ3 was low. It is suggested to decrease the end effect to a level where the apparent σ2 effect is very small so that the obtained test results are more meaningful to characterize the actual σ2 effect.


2019 ◽  
Vol 15 (3) ◽  
pp. 565-580 ◽  
Author(s):  
Yaohui Gao ◽  
Xia-Ting Feng ◽  
Xiwei Zhang ◽  
Yangyi Zhou ◽  
Yan Zhang

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