LI Xiulei, CHEN Chen, LING Tianqing. A nonlinear true triaxial strength criterion for rocks considering principal stress space characteristics[J]. 2021, 53(11): 127-135.
DOI:
LI Xiulei, CHEN Chen, LING Tianqing. A nonlinear true triaxial strength criterion for rocks considering principal stress space characteristics[J]. 2021, 53(11): 127-135.DOI: 10.11918/202004072.
A nonlinear true triaxial strength criterion for rocks considering principal stress space characteristics
In order to evaluate the true triaxial strength properties of rocks
according to the variation of rock strength measured using conventional triaxial tests
a nonlinear strength criterion was developed based on the maximum value of deviatoric stress. The proposed strength criterion was compared with the measured strengths of 12 kinds of rocks and four typical rock strength criterions. The predicted results of the new strength criterion were close to the measured strengths of 12 kinds of rocks
and all the regression coefficients R2 were larger than 0.98 and mean absolute percentage errors (MAPE
EMAP) less than 4% (except 6.83% for No.7 rock). The average EMAP of the 12 rocks were 2.32%
2.43%
5.28%
7.39%
and 13.74%
calculated by the new strength criterion
exponential criterion
Hock-Brown (H-B) criterion
modified Mohr-Coulomb (MM-C) criterion
and Drucker-Prager (D-P) criterion
respectively. It shows that the strength criterion proposed in this paper could well predict the strength of different types of rocks
and its prediction accuracy was slightly better than that of exponential criterion
an outstanding criterion in rock mechanics
and was far better than the other three typical strength criterions. Based on the conventional triaxial strength criterion
considering the effect of intermediate principal stress
a true triaxial strength criterion was developed by introducing the intermediate principal stress parameter and Rhode stress parameter. Compared with the true triaxial test results of eight rocks
the proposed true triaxial strength criterion well reflected the variation that the maximum principal stress increased firstly and then decreased with the increase of the intermediate principal stress. The R2 values of the eight types of rocks were all above 0.9
among which the R2 values of five rocks were greater than 0.96. Except for rocks No.13 and No.14 with EMAP being 7.79% and 4.84%
the EMAP of the other six rocks were all smaller than 4%. It shows that the proposed strength criterion could well predict the true triaxial test strength of rocks
and reflect the effect of intermediate principal stress well with good universal applicability. The stress spatial characteristics of meridian plane and deviatoric plane also explained that the proposed strength criterion well reflected the effects of hydrostatic pressure and intermediate principal stress on the maximum principal stress.