A rock elasto-visco-plastic creep model fully considering the effect of time-dependent damage

被引：0

作者：

Cui, Qingzhe ^{[1
]}

Wu, Fei ^{[1
]}

Wang, Liting ^{[1
]}

Liu, Jianfeng ^{[2
]}

Chen, Jie ^{[1
]}

Li, Cunbao ^{[3
]}

Liu, Huiqing ^{[1
]}

Gao, Renbo ^{[1
]}

机构：

[1] State Key Laboratory for the Coal Mine Disaster Dynamics and Controls, Chongqing University, Chongqing

[2] State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Sichuan

[3] State Key Laboratory of Intelligent Construction and Healthy Operation and Maintenance of Deep Underground Engineering, College of Civil and Transportation Engineering, Shenzhen University, Shenzhen

来源：

Computers and Geotechnics | 2025年 / 187卷

基金：

中国国家自然科学基金;

关键词：

Creep model; Damage Kelvin body; Numerical implementation; Plastic zone evolution; Time-dependent damage;

D O I：

10.1016/j.compgeo.2025.107490

中图分类号：

学科分类号：

摘要：

The establishment of a constitutive model that accurately describes the creep-damage coupling behavior of rock is a theoretical cornerstone for predicting the delayed deformation of surrounding rock. Accurately assessing the impact of time-dependent damage on rock creep characteristics is therefore of paramount importance. In this study, following the Lemaitre strain equivalence principle, time-dependent damage is simultaneously introduced into the Kelvin body, representing the viscoelastic behavior of rock, and the Bingham body, representing the viscoplastic behavior, to establish a rock elasto-visco-plastic creep model (TDEVP) that fully considers the effect of time-dependent damage. The model's validity is confirmed through comparisons with existing laboratory creep data. The results show that, during the accelerated creep stage, the time-dependent deformation of the viscoelastic component exceeds that of the viscoplastic component, with the viscoelastic strain being up to 2.8 times greater. Furthermore, the TDEVP model was successfully implemented in FLAC3D. Compared to the theoretical model, the secondary development program exhibits stronger feasibility and applicability. Finally, the model was applied to a deeply buried tunnel project. The TDEVP model achieved an L2P error of only 0.58 mm and outperformed several classical models across five evaluation metrics, demonstrating its robustness and accuracy. This study addresses key limitations in existing creep-damage models and provides a solid theoretical basis for improving the long-term stability prediction of deep underground engineering. © 2025 Elsevier Ltd

引用

共 63 条

[1]

Alessandro C., Euripedes V., A thermodynamic modeling of creep in rock salt, Int. J. Rock Mech. Min. Sci., 162, (2023)

[2]

Bonini M., Debernardi D., Barla M., Barla G., The mechanical behaviour of clay shales and implications on the design of tunnels, Rock Mech. Rock Eng., 42, 2, pp. 361-388, (2007)

[3]

Chen B.-R., Zhao X.-J., Feng X.-T., Zhao H.-B., Wang S.-Y., Time-dependent damage constitutive model for the marble in the Jinping II hydropower station in China, Bull. Eng. Geol. Environ., 73, 2, pp. 499-515, (2013)

[4]

Chen B., Feng X., Universal viscoelastoplastic combination model and its engineering applications, Chin. J. Rock Mech. Eng., 27, pp. 1028-1035, (2008)

[5]

Chen D., Wang L., Wang S., Sun C., Ao Y., Et al., Research on the creep energy evolution law and damage model of deep sandstone with microporous defects, Eng. Geol., 338, (2024)

[6]

Deng J., Liu Y., Yang Q., Cui W., Zhu Y., Et al., A viscoelastic, viscoplastic, and viscodamage constitutive model of salt rock for underground energy storage cavern, Comput. Geotech., 119, (2020)

[7]

Duan G., Song F., Wang H., Rodriguez-Dono A., Wang L., Et al., Stability analysis of unsaturated loess slopes subjected to extreme rainfall incorporating creep effects, Comput. Geotech., 169, (2024)

[8]

Gutierrez-Ch J.G., Senent S., Zeng P., Jimenez R., DEM simulation of rock creep in tunnels using rate process theory, Comput. Geotech., 142, (2022)

[9]

He Q., Wu F., Gao R., Nonlinear creep-damage constitutive model of surrounding rock in salt cavern reservoir, J. Storage Mater., 55, (2022)

[10]

Holland J.H., (1975)

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