An Energy Criterion for Rheological Failure of Rock and Application in Stability Analysis of Natural High Slope

Zuan Chen; Yu Zhou; Jingbin Lu; Shenwen Qi; Songfeng Guo; Shuaihua Song

doi:doi:10.11648/j.ajpa.20231103.11

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An Energy Criterion for Rheological Failure of Rock and Application in Stability Analysis of Natural High Slope

Zuan Chen, Yu Zhou, Jingbin Lu, Shenwen Qi, Songfeng Guo, Shuaihua Song

Published in American Journal of Physics and Applications (Volume 11, Issue 3)

Received: 16 June 2023 Accepted: 3 July 2023 Published: 11 July 2023

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Abstract

Rock fracture and its failure with time due to external forces and other factors such as fluids, temperature have always been a major concern in rock engineering and construction. Based on thermodynamics and theory of solid physics, authors propose an energy criterion for rheological failure of rock, which considers two effects: (1) energy dissipation of rock reduces strength of rock; (2) confining pressure increases strength of rock. Subsequently, we apply it to stability analysis of natural high slope, in order to indicate influence of long time rheology during geology process on material strength and stability of slope. After giving an equation of upper limit estimate for failure time of slide surface in slope, according to viscoelastic solution of stress about high slope under action of gravity, we calculate the relation between sliding time and dip angle (assuming slide line as straight line) and the relation between sliding time and corresponding slid radius (assuming slide line as arc. The minimum time is 10⁵ years older. The distribution of contour lines for failure time at each point on the slope shows that points near the slope face have shorter failure times. The results explain topographic feature of high mountains in some extent and indicate that rheological failure of rock also is one of causes for topography forming of slope. It also indicates that the energy criterion for rheological failure of rock provides a base for rheological failure analysis relating to time.

Published in	American Journal of Physics and Applications (Volume 11, Issue 3)
DOI	10.11648/j.ajpa.20231103.11
Page(s)	47-54
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Rheological Failure, Energy Criterion, High Slope, Stability, Topographic Feature

References

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[3]	Chen, Z., Li, M., 2019. Is there any rheological failure for material inside earth interior due to long time action at low stress? Progress in Geophysics (in Chinese), 34 (1), 1-5.
[4]	Chen, Z., Jin, Z., Huang, X., Qi, S., 2022. A Damage Mechanics Analysis on Rheological Failure of Rocks under High Temperatures and Pressures. American Journal of Physics and Application, 10 (2), 24-32.
[5]	Tan, Z., Kang, W., 1983. Time Dependent Dilatancy Prior to Rock Failure and Earthquake. Chinese Journal of Rock Mechanics and Engineering, 2 (1), 11-21.
[6]	Cui, X. H., Fu, Z. L., 2006. Experimental Study on Rheology Properties and Long Term Strength of Rocks. Chinese Journal of Rock Mechanics and Engineering, 25 (5), 1021-1024.
[7]	Guo, S.. Qi, S., Zhan, Z., Zheng, B., 2017. Plastic- strain- dependent strength model to simulate the cracking process of brittle rocks with an existing non-persistent joint, Engineering Geology, 231, 114-125.
[8]	Hoek, E., Carranza-Torres, C., Corkum, B., 2002. Hoek-Brown failure criterion-2002 edition. In: Proceedings of NARMS-Tac, 1, pp. 267-273.
[9]	Huang, K, Han R. Q., 2019. Solid state physics. Science Press.
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[11]	Wang, X. D., Fu, X. M., 2009. Numerical Simulation Test for Physical Compress Creep Experiment. Journal of Engineering Geology, 17 (4), 533-537.
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[14]	Xu, Q., 2012. Theoretical Studies on Prediction of Landslides Using Slope Deformation Process Data. Journal of Engineering Geology, 20 (2), 145-151.
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[17]	Yin, X. C. 1988. Solid Mechanics. Seismological Publishing House.
[18]	Zhu, Q. Z., 2017. A new rock strength criterion from microcracking mechanisms which provides theoretical evidence of hybrid failure. Rock Mechanics and Rock Engineering, 50 (2): 341-352.
[19]	Zhu, Q., Li, T., Zhang, H., Ran, J. et al., 2022. True 3D Geomechanical Model Test for Research on Rheological Deformation and Failure Characteristics of Deep Soft Rock Roadways. Tunnelling and Underground Space Technology, Vol. 128, October 2022, 104653.

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APA Style

Zuan Chen, Yu Zhou, Jingbin Lu, Shenwen Qi, Songfeng Guo, et al. (2023). An Energy Criterion for Rheological Failure of Rock and Application in Stability Analysis of Natural High Slope. American Journal of Physics and Applications, 11(3), 47-54. https://doi.org/10.11648/j.ajpa.20231103.11

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ACS Style

Zuan Chen; Yu Zhou; Jingbin Lu; Shenwen Qi; Songfeng Guo, et al. An Energy Criterion for Rheological Failure of Rock and Application in Stability Analysis of Natural High Slope. Am. J. Phys. Appl. 2023, 11(3), 47-54. doi: 10.11648/j.ajpa.20231103.11

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AMA Style

Zuan Chen, Yu Zhou, Jingbin Lu, Shenwen Qi, Songfeng Guo, et al. An Energy Criterion for Rheological Failure of Rock and Application in Stability Analysis of Natural High Slope. Am J Phys Appl. 2023;11(3):47-54. doi: 10.11648/j.ajpa.20231103.11

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@article{10.11648/j.ajpa.20231103.11,
  author = {Zuan Chen and Yu Zhou and Jingbin Lu and Shenwen Qi and Songfeng Guo and Shuaihua Song},
  title = {An Energy Criterion for Rheological Failure of Rock and Application in Stability Analysis of Natural High Slope},
  journal = {American Journal of Physics and Applications},
  volume = {11},
  number = {3},
  pages = {47-54},
  doi = {10.11648/j.ajpa.20231103.11},
  url = {https://doi.org/10.11648/j.ajpa.20231103.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20231103.11},
  abstract = {Rock fracture and its failure with time due to external forces and other factors such as fluids, temperature have always been a major concern in rock engineering and construction. Based on thermodynamics and theory of solid physics, authors propose an energy criterion for rheological failure of rock, which considers two effects: (1) energy dissipation of rock reduces strength of rock; (2) confining pressure increases strength of rock. Subsequently, we apply it to stability analysis of natural high slope, in order to indicate influence of long time rheology during geology process on material strength and stability of slope. After giving an equation of upper limit estimate for failure time of slide surface in slope, according to viscoelastic solution of stress about high slope under action of gravity, we calculate the relation between sliding time and dip angle (assuming slide line as straight line) and the relation between sliding time and corresponding slid radius (assuming slide line as arc. The minimum time is 105 years older. The distribution of contour lines for failure time at each point on the slope shows that points near the slope face have shorter failure times. The results explain topographic feature of high mountains in some extent and indicate that rheological failure of rock also is one of causes for topography forming of slope. It also indicates that the energy criterion for rheological failure of rock provides a base for rheological failure analysis relating to time.},
 year = {2023}
}

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TY  - JOUR
T1  - An Energy Criterion for Rheological Failure of Rock and Application in Stability Analysis of Natural High Slope
AU  - Zuan Chen
AU  - Yu Zhou
AU  - Jingbin Lu
AU  - Shenwen Qi
AU  - Songfeng Guo
AU  - Shuaihua Song
Y1  - 2023/07/11
PY  - 2023
N1  - https://doi.org/10.11648/j.ajpa.20231103.11
DO  - 10.11648/j.ajpa.20231103.11
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 47
EP  - 54
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20231103.11
AB  - Rock fracture and its failure with time due to external forces and other factors such as fluids, temperature have always been a major concern in rock engineering and construction. Based on thermodynamics and theory of solid physics, authors propose an energy criterion for rheological failure of rock, which considers two effects: (1) energy dissipation of rock reduces strength of rock; (2) confining pressure increases strength of rock. Subsequently, we apply it to stability analysis of natural high slope, in order to indicate influence of long time rheology during geology process on material strength and stability of slope. After giving an equation of upper limit estimate for failure time of slide surface in slope, according to viscoelastic solution of stress about high slope under action of gravity, we calculate the relation between sliding time and dip angle (assuming slide line as straight line) and the relation between sliding time and corresponding slid radius (assuming slide line as arc. The minimum time is 105 years older. The distribution of contour lines for failure time at each point on the slope shows that points near the slope face have shorter failure times. The results explain topographic feature of high mountains in some extent and indicate that rheological failure of rock also is one of causes for topography forming of slope. It also indicates that the energy criterion for rheological failure of rock provides a base for rheological failure analysis relating to time.
VL  - 11
IS  - 3
ER  -

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Author Information

Zuan Chen

Key Laboratory of Shale Gas and Geoengineering, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China
Yu Zhou

Central Yunnan Water Diversion Engineering Co., Ltd., Kunming, China
Jingbin Lu

Central Yunnan Water Diversion Engineering Co., Ltd., Kunming, China
Shenwen Qi

Key Laboratory of Shale Gas and Geoengineering, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China
Songfeng Guo

Key Laboratory of Shale Gas and Geoengineering, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China
Shuaihua Song

Key Laboratory of Shale Gas and Geoengineering, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China

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APA Style

Zuan Chen, Yu Zhou, Jingbin Lu, Shenwen Qi, Songfeng Guo, et al. (2023). An Energy Criterion for Rheological Failure of Rock and Application in Stability Analysis of Natural High Slope. American Journal of Physics and Applications, 11(3), 47-54. https://doi.org/10.11648/j.ajpa.20231103.11

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ACS Style

Zuan Chen; Yu Zhou; Jingbin Lu; Shenwen Qi; Songfeng Guo, et al. An Energy Criterion for Rheological Failure of Rock and Application in Stability Analysis of Natural High Slope. Am. J. Phys. Appl. 2023, 11(3), 47-54. doi: 10.11648/j.ajpa.20231103.11

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AMA Style

Zuan Chen, Yu Zhou, Jingbin Lu, Shenwen Qi, Songfeng Guo, et al. An Energy Criterion for Rheological Failure of Rock and Application in Stability Analysis of Natural High Slope. Am J Phys Appl. 2023;11(3):47-54. doi: 10.11648/j.ajpa.20231103.11

Copy | Download

@article{10.11648/j.ajpa.20231103.11,
  author = {Zuan Chen and Yu Zhou and Jingbin Lu and Shenwen Qi and Songfeng Guo and Shuaihua Song},
  title = {An Energy Criterion for Rheological Failure of Rock and Application in Stability Analysis of Natural High Slope},
  journal = {American Journal of Physics and Applications},
  volume = {11},
  number = {3},
  pages = {47-54},
  doi = {10.11648/j.ajpa.20231103.11},
  url = {https://doi.org/10.11648/j.ajpa.20231103.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20231103.11},
  abstract = {Rock fracture and its failure with time due to external forces and other factors such as fluids, temperature have always been a major concern in rock engineering and construction. Based on thermodynamics and theory of solid physics, authors propose an energy criterion for rheological failure of rock, which considers two effects: (1) energy dissipation of rock reduces strength of rock; (2) confining pressure increases strength of rock. Subsequently, we apply it to stability analysis of natural high slope, in order to indicate influence of long time rheology during geology process on material strength and stability of slope. After giving an equation of upper limit estimate for failure time of slide surface in slope, according to viscoelastic solution of stress about high slope under action of gravity, we calculate the relation between sliding time and dip angle (assuming slide line as straight line) and the relation between sliding time and corresponding slid radius (assuming slide line as arc. The minimum time is 105 years older. The distribution of contour lines for failure time at each point on the slope shows that points near the slope face have shorter failure times. The results explain topographic feature of high mountains in some extent and indicate that rheological failure of rock also is one of causes for topography forming of slope. It also indicates that the energy criterion for rheological failure of rock provides a base for rheological failure analysis relating to time.},
 year = {2023}
}

Copy | Download

TY  - JOUR
T1  - An Energy Criterion for Rheological Failure of Rock and Application in Stability Analysis of Natural High Slope
AU  - Zuan Chen
AU  - Yu Zhou
AU  - Jingbin Lu
AU  - Shenwen Qi
AU  - Songfeng Guo
AU  - Shuaihua Song
Y1  - 2023/07/11
PY  - 2023
N1  - https://doi.org/10.11648/j.ajpa.20231103.11
DO  - 10.11648/j.ajpa.20231103.11
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 47
EP  - 54
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20231103.11
AB  - Rock fracture and its failure with time due to external forces and other factors such as fluids, temperature have always been a major concern in rock engineering and construction. Based on thermodynamics and theory of solid physics, authors propose an energy criterion for rheological failure of rock, which considers two effects: (1) energy dissipation of rock reduces strength of rock; (2) confining pressure increases strength of rock. Subsequently, we apply it to stability analysis of natural high slope, in order to indicate influence of long time rheology during geology process on material strength and stability of slope. After giving an equation of upper limit estimate for failure time of slide surface in slope, according to viscoelastic solution of stress about high slope under action of gravity, we calculate the relation between sliding time and dip angle (assuming slide line as straight line) and the relation between sliding time and corresponding slid radius (assuming slide line as arc. The minimum time is 105 years older. The distribution of contour lines for failure time at each point on the slope shows that points near the slope face have shorter failure times. The results explain topographic feature of high mountains in some extent and indicate that rheological failure of rock also is one of causes for topography forming of slope. It also indicates that the energy criterion for rheological failure of rock provides a base for rheological failure analysis relating to time.
VL  - 11
IS  - 3
ER  -

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