Technical Papers
Jul 29, 2022

Mechanical Damage Evolution and a Statistical Damage Model for Frozen Sandstone

Publication: International Journal of Geomechanics
Volume 22, Issue 10

Abstract

Negative temperature has an important influence on rock deformation and failure process. In a negative temperature environment, the pore water in rock partially turns into ice lenses. These changes in rock microstructure and components cause the frozen rock to exhibit temperature-related mechanical behavior. To disclose the mechanical damage process and failure mechanism of rock at different negative temperatures, we carried out acoustic emission (AE) tests on frozen sandstone. Results reveal that the cumulative AE count increases exponentially with increasing load, and the AE count mainly occurs in the yield and failure stages. According to the number and density of the AE count rate, the deformation process of frozen sandstone can be divided into four stages: compaction stage, elastic stage, yield stage, and failure stage. A sharp increase in the AE count rate implies that the rock deformation enters an unstable crack propagation section and macroscopic failure will occur. In addition, assuming that the microelement strength of rock obeys the Weibull distribution and the microelement failure conforms to the Drucker–Prager criterion, a constitutive model considering the negative temperature is proposed. A comparison between the experimental curve and the model curve shows that the model can accurately reflect the deformation process of frozen sandstone. This study is expected to improve the understanding of the damage mechanism and failure progress of frozen rock, and the constitutive model can provide a basis for calculating the deformation of frozen rock.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This research was supported by the National Key Research and Development Program of China (Grant No. 2018YFC0808401), the National Natural Science Foundation of China (Grant No. 42071092), the Key Research Program of the Chinese Academy of Sciences (Grant No. ZDRW-ZS-2020-1), the Science and Technology Plan Project of Tibet (Grant No. XZ201801-GB-07), and the Youth Innovation Promotion Association CAS (Grant No. 2015349).

References

Bai, Y., R. Shan, Y. Ju, Y. Wu, P. Sun, and Z. Wang. 2020. “Study on the mechanical properties and damage constitutive model of frozen weakly cemented red sandstone.” Cold Reg. Sci. Technol. 171: 102980. https://doi.org/10.1016/j.coldregions.2019.102980.
Deng, J., and D. Gu. 2011. “On a statistical damage constitutive model for rock materials.” Comput. Geosci. 37: 122–128. https://doi.org/10.1016/j.cageo.2010.05.018.
Gao, G. Y., Q. S. Chen, Q. S. Zhang, and G. Q. Chen. 2012. “Analytical elasto-plastic solution for stress and plastic zone of surrounding rock in cold region tunnels.” Cold Reg. Sci. Technol. 72: 50–57. https://doi.org/10.1016/j.coldregions.2011.11.007.
Inada, Y., and K. Yokota. 1984. “Some studies of low temperature rock strength.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 21 (3): 145–153. https://doi.org/10.1016/0148-9062(84)91532-8.
Jiang, Q., C. Liu, G.-L. Feng, Y. Yang, H. Zheng, and C. Du. 2021. “Evolution of natural joints’ mesoscopic failure modes under shear tests: Acoustic emission investigation.” Int. J. Geomech. 21 (11): 04021205. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002167.
Kodama, J., T. Goto, Y. Fujii, and P. Hagan. 2013. “The effects of water content, temperature and loading rate on strength and failure process of frozen rocks.” Int. J. Rock Mech. Min. Sci. 62: 1–13. https://doi.org/10.1016/j.ijrmms.2013.03.006.
Lemaitre, J. 1985. “A continuous damage mechanics model for ductile fracture.” J. Eng. Mater. Technol. 107 (1): 83–89. https://doi.org/10.1115/1.3225775.
Li, X., W.-G. Cao, and Y.-H. Su. 2012. “A statistical damage constitutive model for softening behavior of rocks.” Eng. Geol. 143–144: 1–17. https://doi.org/10.1016/j.enggeo.2012.05.005.
Li, Y. P., and Z. Y. Wang. 2011. “Uniaxial compressive mechanical properties of rock at low temperature.” J. Univ. Sci. Tech. Beijing 33 (06): 671–675.
Liu, B., Y. J. Ma, H. L. Sheng, H. L. Deng, Q. Han, and Y. J. Cao. 2019. “Experimental study mechanical properties of cretaceous red sandstone under different freezing temperatures and confining pressures.” Chin. J. Rock Mech. Eng. 38 (3): 455–466.
Liu, J.-p., R. Wang, G. Lei, Y.-t. Si, S.-d. Xu, and Y.-h. Li. 2020. “Studies of stress and displacement distribution and the evolution law during rock failure process based on acoustic emission and microseismic monitoring.” Int. J. Rock Mech. Min. Sci. 132: 104384. https://doi.org/10.1016/j.ijrmms.2020.104384.
Liu, Q., J. Xu, X. Liu, J. Jiang, and B. Liu. 2015. “The role of flaws on crack growth in rock-like material assessed by AE technique.” Int. J. Fract. 193: 99–115. https://doi.org/10.1007/s10704-015-0021-6.
Liu, X. S., J. G. Ning, Y. L. Tan, and Q. H. Gu. 2016. “Damage constitutive model based on energy dissipation for intact rock subjected to cyclic loading.” Int. J. Rock Mech. Min. Sci. 85: 27–32. https://doi.org/10.1016/j.ijrmms.2016.03.003.
Lv, Z., C. Xia, Y. Wang, and J. Luo. 2019. “Analytical elasto-plastic solution of frost heaving force in cold region tunnels considering transversely isotropic frost heave of surrounding rock.” Cold Reg. Sci. Technol. 163: 87–97. https://doi.org/10.1016/j.coldregions.2019.04.008.
Meng, Q., M. Zhang, L. Han, H. Pu, and T. Nie. 2016. “Effects of acoustic emission and energy evolution of rock specimens under the uniaxial cyclic loading and unloading compression.” Rock Mech. Rock Eng. 49 (10): 3873–3886. https://doi.org/10.1007/s00603-016-1077-y.
Miao, S., P.-Z. Pan, X. Zhao, C. Shao, and P. Yu. 2021. “Experimental study on damage and fracture characteristics of Beishan granite subjected to high-temperature treatment with DIC and AE techniques.” Rock Mech. Rock Eng. 54: 721–743. https://doi.org/10.1007/s00603-020-02271-4.
Ming, F., S. Zhang, F. Niu, and Z. Zhou. 2021. “A study on crack damage stress and the damage constitutive model of frozen sandstone.” Bull. Eng. Geol. Environ. 80 (9): 6955–6970. https://doi.org/10.1007/s10064-021-02361-9.
Nazarchuk, Z., O. Serhiyenko, and V. Skalskyi. 2017. Acoustic emission methodology and application. Dordrecht, Netherlands: Springer.
Pan, X., F. Berto, and X. Zhou. 2022. “Creep damage behaviors of red sandstone subjected to uniaxial compression after high-temperature heat treatment using acoustic emission technology.” Fatigue Fract. Eng. Mater. Struct. 45: 302–322. https://doi.org/10.1111/ffe.13605.
Pei, J., W. Fei, and J. Liu. 2016. “Spatial evolution and fractal characteristics of natural fractures in marbles under uniaxial compression loading based on the source location technology of acoustic emission.” Environ. Earth Sci. 75: 828. https://doi.org/10.1007/s12665-016-5649-7.
Shan, R. L., H. Yang, Z. M. Guo, X. D. Liu, and L. W. Song. 2014. “Experimental study of strength characters of saturated red sandstone on negative temperature under triaxial compression.” Chin. J. Rock Mech. Eng. 33 (2): 3657–3664.
Shkuratnik, V. L., and E. A. Novikov. 2012. “Correlation of thermally induced acoustic emission and ultimate compression strength in hard rocks.” J. Min. Sci. 48: 629–635. https://doi.org/10.1134/S1062739148040053.
Wang, S., W. Xu, and W. Wang. 2020. “Experimental and numerical investigations on hydro-mechanical properties of saturated fine-grained sandstone.” Int. J. Rock Mech. Min. Sci. 127: 104222. https://doi.org/10.1016/j.ijrmms.2020.104222.
Wang, Z., A. He, G. Shi, and G. Mei. 2018. “Temperature effect on AE energy characteristics and damage mechanical behaviors of granite.” Int. J. Geomech. 18 (3): 04017163. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001094.
Xu, X. L., and M. Karakus. 2018. “A coupled thermo-mechanical damage model for granite.” Int. J. Rock Mech. Min. Sci. 103: 195–204. https://doi.org/10.1016/j.ijrmms.2018.01.030.
Xu, X. Z., J. C. Wang, and L. X. Zhang. 2001. Physics of frozen soils. Beijing: Science Press.
Yang, G. S., Y. Wei, Y. J. Shen, L. Wang, H. Liu, X. H. Dong, and X. J. Li. 2019. “Mechanical behavior and strength forecast model of frozen saturated sandstone under triaxial compression.” Chin. J. Rock Mech. Eng. 38 (4): 687–694.
Zhang, G., E. Liu, S. Chen, and D. Zhang. 2019. “Damage constitutive model based on energy dissipation for frozen sandstone under triaxial compression revealed by X-Ray tomography.” Exp. Tech. 43 (5): 545–560. https://doi.org/10.1007/s40799-019-00309-z.
Zhang, J., W. Peng, F. Liu, H. Zhang, and Z. Li. 2016. “Monitoring rock failure processes using the Hilbert–Huang transform of acoustic emission signals.” Rock Mech. Rock Eng. 49: 427–442. https://doi.org/10.1007/s00603-015-0755-5.
Zhang, K., H. Zhou, X. T. Feng, J. F. Shao, Y. S. Yang, and Y. G. Zhang. 2010. “Experimental research on elastoplastic coupling character of marble.” Rock Soil Mech. 31 (08): 2425–2434.
Zhao, H., C. Shi, M. Zhao, and X. Li. 2017. “Statistical damage constitutive model for rocks considering residual strength.” Int. J. Geomech. 17 (1): 04016033. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000680.
Zhao, K., D. Yang, C. Gong, Y. Zhuo, X. Wang, and W. Zhong. 2020. “Evaluation of internal microcrack evolution in red sandstone based on time–frequency domain characteristics of acoustic emission signals.” Constr. Build. Mater. 260: 120435. https://doi.org/10.1016/j.conbuildmat.2020.120435.
Zhao, Y., Y. Liu, Z. Tao, H. Zhou, and Q. Yang. 2019. “Fractal characteristics and failure analysis of geomechanical model for arch dam based on acoustic emission technique.” Int. J. Geomech. 19 (11): 04019119. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001502.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 22Issue 10October 2022

History

Received: Nov 9, 2021
Accepted: May 9, 2022
Published online: Jul 29, 2022
Published in print: Oct 1, 2022
Discussion open until: Dec 29, 2022

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Ph.D. Student, State Key Laboratory of Frozen Soil Engineering, Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou 730000, China; School of Engineering Science, Univ. of Chinese Academy of Sciences, Beijing 100049, China. ORCID: https://orcid.org/0000-0003-4177-5374
Shuangyang Li [email protected]
Professor, State Key Laboratory of Frozen Soil Engineering, Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou 730000, China (corresponding author). Email: [email protected]
Lianghong Shi
Assistant Engineer, State Key Laboratory of Frozen Soil Engineering, Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou 730000, China.
Jiale Yang
Master’s Candidate, School of Civil Engineering, Lanzhou Jiaotong Univ., Lanzhou 730070, China.
Jianyuan Zhao
Ph.D. Student, State Key Laboratory of Frozen Soil Engineering, Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou 730000, China; School of Engineering Science, Univ. of Chinese Academy of Sciences, Beijing 100049, China.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • A temperature-dependent elastoplastic damage model for frozen sandstone, Cold Regions Science and Technology, 10.1016/j.coldregions.2023.103792, 208, (103792), (2023).

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share