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

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.

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

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.

Copyright © 2023 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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