Study on the Differences in Mechanical Properties and Energy Evolution of Sandstone under Different Loading and Unloading Modes

Authors

  • Qiyu Zhang

DOI:

https://doi.org/10.54691/a8nkgh72

Keywords:

Cycle loading and unloading; mechanical properties; energy evolution; failure characteristics.

Abstract

To study the mechanical properties and energy evolution of sandstone under cyclic loading, experiments were conducted on intact prefabricated sandstone specimens using different loading and unloading methods, and the macroscopic failure characteristics of the rock samples were observed and analyzed. The mechanical properties and energy evolution of the rock samples were analyzed based on the stress-strain curves. The results indicate that the hysteresis loop areas differ under the two loading and unloading methods. The method with increasing upper limits mainly shows that the higher the stress peak, the stronger the material's energy dissipation capacity, and the more energy is consumed by plastic deformation and damage. In the method of increasing the upper limit and decreasing the lower limit, the hysteresis loop area gradually increases, indicating that an elevated stress level enhances the material's energy dissipation capacity, and damage induces internal friction or microcrack propagation. In both loading methods, energy evolution and damage failure characteristics are dominated by the stress application pattern: the stress concentration effect in the upper-limit-increasing method accelerates the compaction of the elastic framework and energy dissipation due to damage, resulting in a greater increase in total input energy, elastic energy, and dissipated energy, and the energy conversion efficiency is also higher due to more favorable elastic energy storage. In the upper-limit-increasing and lower-limit-decreasing method, simultaneously adjusting the stress upper and lower limits weakens stress concentration, resulting in smoother energy growth and increased damage energy consumption due to stress fluctuations. The growth rate of dissipated energy density shows a 'burst-decline-leveling-off' trend, corresponding to three damage stages, revealing the non-uniform evolution of damage. The upper-limit-increasing method results in tensile failure dominated by a single vertical main crack, with damage occurring as a directional superposition effect, while the upper-limit-increasing and lower-limit-decreasing method results in dispersed failure driven by a multi-directional crack network, with damage extending at multiple scales.

Downloads

Download data is not yet available.

References

[1] Lin, Z. N., Long, H. F., & Zhang, Q. (et al.). Experimental study on the permeability characteristics of sandstone under different temperature and confining pressure cycling loading and unloading. Journal of Hydraulic and Maritime Engineering, 1–15. [2025-09-13]. (Online advance publication).

[2] Zhu, M. L., Ma, Y. S., & Qin, G. P. (et al.). Mechanical characteristics and stability analysis of surrounding rock in shallow buried tunnels under cyclic loading and unloading. China Mining, 34(S1), 360–366.

[3] Ni, Z., Li, J., & Qin, K. (et al.). Experimental study on the mechanical properties and deformation failure characteristics of sandstone under graded equal-amplitude cyclic loading and unloading. Scientific Reports, 15(1), 28735. https://doi.org/10.1038/s41598-025-04216-7

[4] Liu, Y. M., Li, Z., & Feng, G. R. (et al.). Characteristics and precursor patterns of acoustic-thermal responses in fractured sandstone under cyclic loading-unloading. Geotechnical Mechanics, 46(9), 2773–2791.

[5] Yang, H., Song, Y., & Ren, J. (et al.). Study of the evolution of characteristic parameters and damage mechanism of sandstone under the synergistic effects of F-T and stepped cyclic loading-unloading via real-time CT scanning and AE monitoring. Measurement, 256, 118078. https://doi.org/10.1016/j.measurement.2025.118078

[6] Song, Y. Z., Zhang, H. W., & Yu, Z. (et al.). Mechanical responses of sandstone exposed to triaxial differential cyclic loading with distinct unloading rates of confining stress: A lab scale investigation. International Journal of Coal Science & Technology, 12(1), 58. https://doi.org/10.1007/s40789-024-00689-2

[7] Zhang, Q. H., Meng, X. R., & Zhao, G. M. (2025). Energy evolution laws of sandstone under different cyclic loading and unloading modes of true triaxial stress. Journal of Mining Science, 10(3), 418–434.

[8] Zhu, N. Q., Li, X. L., & Chen, S. J. (et al.). Deformation failure and acoustic emission response characteristics of fractured sandstone under cyclic loading and unloading. Coal Science and Technology, 1–19. [2025-09-13]. (Online advance publication)

[9] Hao, J. P., Dong, C. L., & Yao, M. Y. (2025). Study on the damage mechanics characteristics and energy evolution of hard rock under different upper limit stress cyclic loading and unloading. Mining Research and Development, 45(3), 119–127.

[10] Cheng, J. C., Liu, Y. T., & Zhang, L. (et al.). Mechanical abrupt behavior of sandstone under triaxial cyclic loading and unloading after peak. Journal of Rock Mechanics and Engineering, 44(4), 850–864.

[11] Tang, J. Z., Tang, W. H., & Yang, K. (et al.). Mechanical response characteristics and seepage evolution laws of inclined single-fracture sandstone under cyclic loading. Rock and Soil Mechanics, 46(1), 199–212.

[12] Xiao, F. K., Mo, R. H., & Shan, L. (et al.). Study on the damage characteristics of multi-stage characteristic stress cyclic loading and unloading in rocks. Journal of Mining and Safety Engineering, 42(2), 430–439.

[13] Wang, M. X., Wang, H., & Ma, S. L. (et al.). Energy dissipation experimental study of explosion-damaged roof sandstone under triaxial graded cyclic loading and unloading. Vibration and Shock, 43(16), 227–237.

[14] Cheng, J. C., Jia, Z., Hou, M. D., et al. (2024). Analysis of deformation characteristics of sandstone under triaxial cyclic loading and unloading and study on expanded infiltration model. Journal of Rock Mechanics and Engineering, 43(11), 2687–2699.

[15] Liu, G. J., Zhou, H., Mou, Z. L., et al. (2025). Research on macro-micro damage characteristics of fractured sandstone under variable upper limit cyclic loading and unloading. Coal Science and Technology, 53(5), 77–89.

[16] Jia, P., Wang, Y., Wang, Q. W., et al. (2024). Experimental study on the resistivity and acoustic emission response of red sandstone under cyclic loading and unloading conditions. Journal of Rock Mechanics and Engineering, 43(S1), 3333–3341.

[17] Zhao, G. Z., Cheng, W., Liu, C., et al. (2024). Study on the damage mechanical behavior and energy evolution of coal rock mass based on cyclic loading and unloading. Journal of Rock Mechanics and Engineering, 43(7), 1636–1645.

[18] Yuan, H. C., Abir, Zhang, J., et al. (2023). Experimental study on the deformation and failure characteristics of saturated fine yellow sandstone under graded cyclic loading and unloading. Journal of Rock Mechanics and Engineering, 42(S2), 3943–3955.

[19] Song, Y. M. (2025). Study on energy evolution and failure characteristics of sandstone under cyclic loading/unloading. Journal of Safety Science, 35(S1), 158–165.

[20] Li, X. W., Yao, Z. S., Huang, X. W., et al. (2021). Study on deformation damage characteristics and energy evolution of sandstone under cyclic loading and unloading. Rock and Soil Mechanics, 42(6), 1693–1704.

Downloads

Published

21-06-2026

Issue

Section

Articles