An Improved Creep Model for Granite Based on the Deviatoric Stress-to-Peak Strength Ratio


Time-dependent behaviors of rocks can be attributed to long-term applied stress, which occurs in most underground engineering projects. The creep behavior of granite from the Shuangjiangkou underground powerhouse in western Sichuan Province, China, was investigated via creep tests. It is shown that granite has an obvious creep behavior under different confining pressures and deviatoric stresses. The new dimensionless parameter DPR, which is defined as the ratio of the deviatoric stress to the peak strength, is proposed for experimental analysis. The relationships between the instantaneous strain and final visco-elastic creep strain of granite with DPR are established under different confining pressures. It is shown that when DPR is equal to 0.63, the final visco-elastic creep strain of rocks will reach a minimum value. Based on DPR and the secondary creep strain rate, a unified method for defining the long-term strength of rocks is proposed, and the granite will enter in secondary creep with a nonzero strain rate when DPR > 0.9501. The Nishihara model is improved, and the relationships between the parameters of the improved model with confining pressures and DPR are obtained. The improved creep model can satisfactorily represent the primary creep strain of granite and secondary creep strain of granite with time under a given confining pressure and deviatoric stress.

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adapted from Goodman [13])

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(adapted from Zhao et al. [15])

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The authors acknowledge the financial support from the National Natural Science Foundation of China (grant number U1965203) and ‘The research on support time and deformation warning of surrounding rock of large underground cavern group under extremely high stress condition of Shuangjiangkou Hydropower’ (grant number A147 SG). The authors thank Professor Jianfeng Liu for his guidance with the tests.


The National Natural Science Foundation of China (grant number U1965203) and the research on support time and deformation warning of surrounding rock of large underground cavern group under extremely high stress condition of Shuangjiangkou Hydropower (grant number A147 SG).

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Li Qian performed the experiment and the data analyses, and wrote the manuscript. Jianhai Zhang and Xianliang Wang participated in part of the experiment and helped perform the analysis with constructive discussions. Yonghong Li and Zhiguo Li prepared for samples of the experiment and checked the results of the test. Ru Zhang and Nuwen Xu conceived and designed the analysis.

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Correspondence to Li Qian.

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Qian, L., Zhang, J., Wang, X. et al. An Improved Creep Model for Granite Based on the Deviatoric Stress-to-Peak Strength Ratio. Arab J Sci Eng (2021).

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  • Deviatoric stress-to-peak strength ratio
  • Final visco-elastic creep strain
  • Strain curves
  • Long-term strength
  • Improved Nishihara model