Catastrophe prediction of compression-induced fracturing and failure for a tower- shaped unstable rock mass with gentle dip angle
The overall failure mode of a tower-shaped unstable rock mass associated with bottom compression-induced fracturing frequently occurs on the steep-high slope with a gentle dip angle in the karst regions, and its damage-catastrophe mechanism belongs to a key issue in the mountainous disaster discipli...
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| Autor*in: |
ZHOU Fu-chuan [verfasserIn] TANG Hong-mei [verfasserIn] WANG Lin-feng [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
tower-shaped unstable rock mass |
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| Übergeordnetes Werk: |
In: Rock and Soil Mechanics - SCIENCE PRESS , 16 DONGHUANGCHENGGEN NORTH ST, BEIJING, PEOPLES R CHINA, 100717, 2022, 43(2022), 5, Seite 1341-1352 |
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| Übergeordnetes Werk: |
volume:43 ; year:2022 ; number:5 ; pages:1341-1352 |
| Links: |
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| DOI / URN: |
10.16285/j.rsm.2021.6477 |
|---|
| Katalog-ID: |
DOAJ037132679 |
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| 520 | |a The overall failure mode of a tower-shaped unstable rock mass associated with bottom compression-induced fracturing frequently occurs on the steep-high slope with a gentle dip angle in the karst regions, and its damage-catastrophe mechanism belongs to a key issue in the mountainous disaster discipline. Taking a collapse case of Zengziyan unstable rock mass #W12 in Nanchuan District of Chongqing, China, for example, a damage-catastrophe geomechanical model considering the load and the water- weakening effect was built. A damage constitutive equation and a total damage degree evolution equation were derived based on the strain equivalence principle, and the water-weakening function was developed into a cubic function in one unknown for the softening coefficient. Then, the geomechanical model was simplified into an equivalent spring model and the damage-fold catastrophe model was established by the energy balance theory. Finally, the failure criterion and eigenvalue expression of critical displacement mutation for the tower-shaped unstable rock mass were obtained. The results show that when the unstable rock mass #W12 fails, the control variant determining the stability of a fold catastrophe model is –0.003 251, which is less than zero, demonstrating that the system turns into an unstable state. The initial calculated value of the theoretical displacement mutation of 148.70 mm is smaller than the first inflection point of the measured value of 154.34 mm, and the relative error is about 3.65% which tends to be safer. The theoretical damage constitutive curve and evolution curve are consistent with the numerical results obtained in the literature, suggesting that the theoretical model has a good applicability. The research outcome can be applied to predicting the damage evolution process and the eigenvalue of critical displacement mutation for the compression-induced fracturing and failure of a tower-shaped unstable rock mass. It also provides a theoretical basis for monitoring and early-warning of the steep-high unstable rock mass collapse and disaster prevention and mitigation in limestone area. | ||
| 650 | 4 | |a tower-shaped unstable rock mass | |
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| 650 | 4 | |a damage mechanics | |
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| 650 | 4 | |a fold catastrophe model | |
| 653 | 0 | |a Engineering geology. Rock mechanics. Soil mechanics. Underground construction | |
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10.16285/j.rsm.2021.6477 doi (DE-627)DOAJ037132679 (DE-599)DOAJ4ccc4ec8c93144cb9de3a37359b970cb DE-627 ger DE-627 rakwb eng TA703-712 ZHOU Fu-chuan verfasserin aut Catastrophe prediction of compression-induced fracturing and failure for a tower- shaped unstable rock mass with gentle dip angle 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The overall failure mode of a tower-shaped unstable rock mass associated with bottom compression-induced fracturing frequently occurs on the steep-high slope with a gentle dip angle in the karst regions, and its damage-catastrophe mechanism belongs to a key issue in the mountainous disaster discipline. Taking a collapse case of Zengziyan unstable rock mass #W12 in Nanchuan District of Chongqing, China, for example, a damage-catastrophe geomechanical model considering the load and the water- weakening effect was built. A damage constitutive equation and a total damage degree evolution equation were derived based on the strain equivalence principle, and the water-weakening function was developed into a cubic function in one unknown for the softening coefficient. Then, the geomechanical model was simplified into an equivalent spring model and the damage-fold catastrophe model was established by the energy balance theory. Finally, the failure criterion and eigenvalue expression of critical displacement mutation for the tower-shaped unstable rock mass were obtained. The results show that when the unstable rock mass #W12 fails, the control variant determining the stability of a fold catastrophe model is –0.003 251, which is less than zero, demonstrating that the system turns into an unstable state. The initial calculated value of the theoretical displacement mutation of 148.70 mm is smaller than the first inflection point of the measured value of 154.34 mm, and the relative error is about 3.65% which tends to be safer. The theoretical damage constitutive curve and evolution curve are consistent with the numerical results obtained in the literature, suggesting that the theoretical model has a good applicability. The research outcome can be applied to predicting the damage evolution process and the eigenvalue of critical displacement mutation for the compression-induced fracturing and failure of a tower-shaped unstable rock mass. It also provides a theoretical basis for monitoring and early-warning of the steep-high unstable rock mass collapse and disaster prevention and mitigation in limestone area. tower-shaped unstable rock mass compression-induced fracturing and failure damage mechanics energy conservation fold catastrophe model Engineering geology. Rock mechanics. Soil mechanics. Underground construction TANG Hong-mei verfasserin aut WANG Lin-feng verfasserin aut In Rock and Soil Mechanics SCIENCE PRESS , 16 DONGHUANGCHENGGEN NORTH ST, BEIJING, PEOPLES R CHINA, 100717, 2022 43(2022), 5, Seite 1341-1352 (DE-627)DOAJ07860401X 10007598 nnns volume:43 year:2022 number:5 pages:1341-1352 https://doi.org/10.16285/j.rsm.2021.6477 kostenfrei https://doaj.org/article/4ccc4ec8c93144cb9de3a37359b970cb kostenfrei http://rocksoilmech.whrsm.ac.cn/EN/10.16285/j.rsm.2021.6477 kostenfrei https://doaj.org/toc/1000-7598 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA AR 43 2022 5 1341-1352 |
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10.16285/j.rsm.2021.6477 doi (DE-627)DOAJ037132679 (DE-599)DOAJ4ccc4ec8c93144cb9de3a37359b970cb DE-627 ger DE-627 rakwb eng TA703-712 ZHOU Fu-chuan verfasserin aut Catastrophe prediction of compression-induced fracturing and failure for a tower- shaped unstable rock mass with gentle dip angle 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The overall failure mode of a tower-shaped unstable rock mass associated with bottom compression-induced fracturing frequently occurs on the steep-high slope with a gentle dip angle in the karst regions, and its damage-catastrophe mechanism belongs to a key issue in the mountainous disaster discipline. Taking a collapse case of Zengziyan unstable rock mass #W12 in Nanchuan District of Chongqing, China, for example, a damage-catastrophe geomechanical model considering the load and the water- weakening effect was built. A damage constitutive equation and a total damage degree evolution equation were derived based on the strain equivalence principle, and the water-weakening function was developed into a cubic function in one unknown for the softening coefficient. Then, the geomechanical model was simplified into an equivalent spring model and the damage-fold catastrophe model was established by the energy balance theory. Finally, the failure criterion and eigenvalue expression of critical displacement mutation for the tower-shaped unstable rock mass were obtained. The results show that when the unstable rock mass #W12 fails, the control variant determining the stability of a fold catastrophe model is –0.003 251, which is less than zero, demonstrating that the system turns into an unstable state. The initial calculated value of the theoretical displacement mutation of 148.70 mm is smaller than the first inflection point of the measured value of 154.34 mm, and the relative error is about 3.65% which tends to be safer. The theoretical damage constitutive curve and evolution curve are consistent with the numerical results obtained in the literature, suggesting that the theoretical model has a good applicability. The research outcome can be applied to predicting the damage evolution process and the eigenvalue of critical displacement mutation for the compression-induced fracturing and failure of a tower-shaped unstable rock mass. It also provides a theoretical basis for monitoring and early-warning of the steep-high unstable rock mass collapse and disaster prevention and mitigation in limestone area. tower-shaped unstable rock mass compression-induced fracturing and failure damage mechanics energy conservation fold catastrophe model Engineering geology. Rock mechanics. Soil mechanics. Underground construction TANG Hong-mei verfasserin aut WANG Lin-feng verfasserin aut In Rock and Soil Mechanics SCIENCE PRESS , 16 DONGHUANGCHENGGEN NORTH ST, BEIJING, PEOPLES R CHINA, 100717, 2022 43(2022), 5, Seite 1341-1352 (DE-627)DOAJ07860401X 10007598 nnns volume:43 year:2022 number:5 pages:1341-1352 https://doi.org/10.16285/j.rsm.2021.6477 kostenfrei https://doaj.org/article/4ccc4ec8c93144cb9de3a37359b970cb kostenfrei http://rocksoilmech.whrsm.ac.cn/EN/10.16285/j.rsm.2021.6477 kostenfrei https://doaj.org/toc/1000-7598 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA AR 43 2022 5 1341-1352 |
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10.16285/j.rsm.2021.6477 doi (DE-627)DOAJ037132679 (DE-599)DOAJ4ccc4ec8c93144cb9de3a37359b970cb DE-627 ger DE-627 rakwb eng TA703-712 ZHOU Fu-chuan verfasserin aut Catastrophe prediction of compression-induced fracturing and failure for a tower- shaped unstable rock mass with gentle dip angle 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The overall failure mode of a tower-shaped unstable rock mass associated with bottom compression-induced fracturing frequently occurs on the steep-high slope with a gentle dip angle in the karst regions, and its damage-catastrophe mechanism belongs to a key issue in the mountainous disaster discipline. Taking a collapse case of Zengziyan unstable rock mass #W12 in Nanchuan District of Chongqing, China, for example, a damage-catastrophe geomechanical model considering the load and the water- weakening effect was built. A damage constitutive equation and a total damage degree evolution equation were derived based on the strain equivalence principle, and the water-weakening function was developed into a cubic function in one unknown for the softening coefficient. Then, the geomechanical model was simplified into an equivalent spring model and the damage-fold catastrophe model was established by the energy balance theory. Finally, the failure criterion and eigenvalue expression of critical displacement mutation for the tower-shaped unstable rock mass were obtained. The results show that when the unstable rock mass #W12 fails, the control variant determining the stability of a fold catastrophe model is –0.003 251, which is less than zero, demonstrating that the system turns into an unstable state. The initial calculated value of the theoretical displacement mutation of 148.70 mm is smaller than the first inflection point of the measured value of 154.34 mm, and the relative error is about 3.65% which tends to be safer. The theoretical damage constitutive curve and evolution curve are consistent with the numerical results obtained in the literature, suggesting that the theoretical model has a good applicability. The research outcome can be applied to predicting the damage evolution process and the eigenvalue of critical displacement mutation for the compression-induced fracturing and failure of a tower-shaped unstable rock mass. It also provides a theoretical basis for monitoring and early-warning of the steep-high unstable rock mass collapse and disaster prevention and mitigation in limestone area. tower-shaped unstable rock mass compression-induced fracturing and failure damage mechanics energy conservation fold catastrophe model Engineering geology. Rock mechanics. Soil mechanics. Underground construction TANG Hong-mei verfasserin aut WANG Lin-feng verfasserin aut In Rock and Soil Mechanics SCIENCE PRESS , 16 DONGHUANGCHENGGEN NORTH ST, BEIJING, PEOPLES R CHINA, 100717, 2022 43(2022), 5, Seite 1341-1352 (DE-627)DOAJ07860401X 10007598 nnns volume:43 year:2022 number:5 pages:1341-1352 https://doi.org/10.16285/j.rsm.2021.6477 kostenfrei https://doaj.org/article/4ccc4ec8c93144cb9de3a37359b970cb kostenfrei http://rocksoilmech.whrsm.ac.cn/EN/10.16285/j.rsm.2021.6477 kostenfrei https://doaj.org/toc/1000-7598 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA AR 43 2022 5 1341-1352 |
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10.16285/j.rsm.2021.6477 doi (DE-627)DOAJ037132679 (DE-599)DOAJ4ccc4ec8c93144cb9de3a37359b970cb DE-627 ger DE-627 rakwb eng TA703-712 ZHOU Fu-chuan verfasserin aut Catastrophe prediction of compression-induced fracturing and failure for a tower- shaped unstable rock mass with gentle dip angle 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The overall failure mode of a tower-shaped unstable rock mass associated with bottom compression-induced fracturing frequently occurs on the steep-high slope with a gentle dip angle in the karst regions, and its damage-catastrophe mechanism belongs to a key issue in the mountainous disaster discipline. Taking a collapse case of Zengziyan unstable rock mass #W12 in Nanchuan District of Chongqing, China, for example, a damage-catastrophe geomechanical model considering the load and the water- weakening effect was built. A damage constitutive equation and a total damage degree evolution equation were derived based on the strain equivalence principle, and the water-weakening function was developed into a cubic function in one unknown for the softening coefficient. Then, the geomechanical model was simplified into an equivalent spring model and the damage-fold catastrophe model was established by the energy balance theory. Finally, the failure criterion and eigenvalue expression of critical displacement mutation for the tower-shaped unstable rock mass were obtained. The results show that when the unstable rock mass #W12 fails, the control variant determining the stability of a fold catastrophe model is –0.003 251, which is less than zero, demonstrating that the system turns into an unstable state. The initial calculated value of the theoretical displacement mutation of 148.70 mm is smaller than the first inflection point of the measured value of 154.34 mm, and the relative error is about 3.65% which tends to be safer. The theoretical damage constitutive curve and evolution curve are consistent with the numerical results obtained in the literature, suggesting that the theoretical model has a good applicability. The research outcome can be applied to predicting the damage evolution process and the eigenvalue of critical displacement mutation for the compression-induced fracturing and failure of a tower-shaped unstable rock mass. It also provides a theoretical basis for monitoring and early-warning of the steep-high unstable rock mass collapse and disaster prevention and mitigation in limestone area. tower-shaped unstable rock mass compression-induced fracturing and failure damage mechanics energy conservation fold catastrophe model Engineering geology. Rock mechanics. Soil mechanics. Underground construction TANG Hong-mei verfasserin aut WANG Lin-feng verfasserin aut In Rock and Soil Mechanics SCIENCE PRESS , 16 DONGHUANGCHENGGEN NORTH ST, BEIJING, PEOPLES R CHINA, 100717, 2022 43(2022), 5, Seite 1341-1352 (DE-627)DOAJ07860401X 10007598 nnns volume:43 year:2022 number:5 pages:1341-1352 https://doi.org/10.16285/j.rsm.2021.6477 kostenfrei https://doaj.org/article/4ccc4ec8c93144cb9de3a37359b970cb kostenfrei http://rocksoilmech.whrsm.ac.cn/EN/10.16285/j.rsm.2021.6477 kostenfrei https://doaj.org/toc/1000-7598 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA AR 43 2022 5 1341-1352 |
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10.16285/j.rsm.2021.6477 doi (DE-627)DOAJ037132679 (DE-599)DOAJ4ccc4ec8c93144cb9de3a37359b970cb DE-627 ger DE-627 rakwb eng TA703-712 ZHOU Fu-chuan verfasserin aut Catastrophe prediction of compression-induced fracturing and failure for a tower- shaped unstable rock mass with gentle dip angle 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The overall failure mode of a tower-shaped unstable rock mass associated with bottom compression-induced fracturing frequently occurs on the steep-high slope with a gentle dip angle in the karst regions, and its damage-catastrophe mechanism belongs to a key issue in the mountainous disaster discipline. Taking a collapse case of Zengziyan unstable rock mass #W12 in Nanchuan District of Chongqing, China, for example, a damage-catastrophe geomechanical model considering the load and the water- weakening effect was built. A damage constitutive equation and a total damage degree evolution equation were derived based on the strain equivalence principle, and the water-weakening function was developed into a cubic function in one unknown for the softening coefficient. Then, the geomechanical model was simplified into an equivalent spring model and the damage-fold catastrophe model was established by the energy balance theory. Finally, the failure criterion and eigenvalue expression of critical displacement mutation for the tower-shaped unstable rock mass were obtained. The results show that when the unstable rock mass #W12 fails, the control variant determining the stability of a fold catastrophe model is –0.003 251, which is less than zero, demonstrating that the system turns into an unstable state. The initial calculated value of the theoretical displacement mutation of 148.70 mm is smaller than the first inflection point of the measured value of 154.34 mm, and the relative error is about 3.65% which tends to be safer. The theoretical damage constitutive curve and evolution curve are consistent with the numerical results obtained in the literature, suggesting that the theoretical model has a good applicability. The research outcome can be applied to predicting the damage evolution process and the eigenvalue of critical displacement mutation for the compression-induced fracturing and failure of a tower-shaped unstable rock mass. It also provides a theoretical basis for monitoring and early-warning of the steep-high unstable rock mass collapse and disaster prevention and mitigation in limestone area. tower-shaped unstable rock mass compression-induced fracturing and failure damage mechanics energy conservation fold catastrophe model Engineering geology. Rock mechanics. Soil mechanics. Underground construction TANG Hong-mei verfasserin aut WANG Lin-feng verfasserin aut In Rock and Soil Mechanics SCIENCE PRESS , 16 DONGHUANGCHENGGEN NORTH ST, BEIJING, PEOPLES R CHINA, 100717, 2022 43(2022), 5, Seite 1341-1352 (DE-627)DOAJ07860401X 10007598 nnns volume:43 year:2022 number:5 pages:1341-1352 https://doi.org/10.16285/j.rsm.2021.6477 kostenfrei https://doaj.org/article/4ccc4ec8c93144cb9de3a37359b970cb kostenfrei http://rocksoilmech.whrsm.ac.cn/EN/10.16285/j.rsm.2021.6477 kostenfrei https://doaj.org/toc/1000-7598 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA AR 43 2022 5 1341-1352 |
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Taking a collapse case of Zengziyan unstable rock mass #W12 in Nanchuan District of Chongqing, China, for example, a damage-catastrophe geomechanical model considering the load and the water- weakening effect was built. A damage constitutive equation and a total damage degree evolution equation were derived based on the strain equivalence principle, and the water-weakening function was developed into a cubic function in one unknown for the softening coefficient. Then, the geomechanical model was simplified into an equivalent spring model and the damage-fold catastrophe model was established by the energy balance theory. Finally, the failure criterion and eigenvalue expression of critical displacement mutation for the tower-shaped unstable rock mass were obtained. The results show that when the unstable rock mass #W12 fails, the control variant determining the stability of a fold catastrophe model is –0.003 251, which is less than zero, demonstrating that the system turns into an unstable state. The initial calculated value of the theoretical displacement mutation of 148.70 mm is smaller than the first inflection point of the measured value of 154.34 mm, and the relative error is about 3.65% which tends to be safer. The theoretical damage constitutive curve and evolution curve are consistent with the numerical results obtained in the literature, suggesting that the theoretical model has a good applicability. The research outcome can be applied to predicting the damage evolution process and the eigenvalue of critical displacement mutation for the compression-induced fracturing and failure of a tower-shaped unstable rock mass. 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TA703-712 Catastrophe prediction of compression-induced fracturing and failure for a tower- shaped unstable rock mass with gentle dip angle tower-shaped unstable rock mass compression-induced fracturing and failure damage mechanics energy conservation fold catastrophe model |
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Catastrophe prediction of compression-induced fracturing and failure for a tower- shaped unstable rock mass with gentle dip angle |
| abstract |
The overall failure mode of a tower-shaped unstable rock mass associated with bottom compression-induced fracturing frequently occurs on the steep-high slope with a gentle dip angle in the karst regions, and its damage-catastrophe mechanism belongs to a key issue in the mountainous disaster discipline. Taking a collapse case of Zengziyan unstable rock mass #W12 in Nanchuan District of Chongqing, China, for example, a damage-catastrophe geomechanical model considering the load and the water- weakening effect was built. A damage constitutive equation and a total damage degree evolution equation were derived based on the strain equivalence principle, and the water-weakening function was developed into a cubic function in one unknown for the softening coefficient. Then, the geomechanical model was simplified into an equivalent spring model and the damage-fold catastrophe model was established by the energy balance theory. Finally, the failure criterion and eigenvalue expression of critical displacement mutation for the tower-shaped unstable rock mass were obtained. The results show that when the unstable rock mass #W12 fails, the control variant determining the stability of a fold catastrophe model is –0.003 251, which is less than zero, demonstrating that the system turns into an unstable state. The initial calculated value of the theoretical displacement mutation of 148.70 mm is smaller than the first inflection point of the measured value of 154.34 mm, and the relative error is about 3.65% which tends to be safer. The theoretical damage constitutive curve and evolution curve are consistent with the numerical results obtained in the literature, suggesting that the theoretical model has a good applicability. The research outcome can be applied to predicting the damage evolution process and the eigenvalue of critical displacement mutation for the compression-induced fracturing and failure of a tower-shaped unstable rock mass. It also provides a theoretical basis for monitoring and early-warning of the steep-high unstable rock mass collapse and disaster prevention and mitigation in limestone area. |
| abstractGer |
The overall failure mode of a tower-shaped unstable rock mass associated with bottom compression-induced fracturing frequently occurs on the steep-high slope with a gentle dip angle in the karst regions, and its damage-catastrophe mechanism belongs to a key issue in the mountainous disaster discipline. Taking a collapse case of Zengziyan unstable rock mass #W12 in Nanchuan District of Chongqing, China, for example, a damage-catastrophe geomechanical model considering the load and the water- weakening effect was built. A damage constitutive equation and a total damage degree evolution equation were derived based on the strain equivalence principle, and the water-weakening function was developed into a cubic function in one unknown for the softening coefficient. Then, the geomechanical model was simplified into an equivalent spring model and the damage-fold catastrophe model was established by the energy balance theory. Finally, the failure criterion and eigenvalue expression of critical displacement mutation for the tower-shaped unstable rock mass were obtained. The results show that when the unstable rock mass #W12 fails, the control variant determining the stability of a fold catastrophe model is –0.003 251, which is less than zero, demonstrating that the system turns into an unstable state. The initial calculated value of the theoretical displacement mutation of 148.70 mm is smaller than the first inflection point of the measured value of 154.34 mm, and the relative error is about 3.65% which tends to be safer. The theoretical damage constitutive curve and evolution curve are consistent with the numerical results obtained in the literature, suggesting that the theoretical model has a good applicability. The research outcome can be applied to predicting the damage evolution process and the eigenvalue of critical displacement mutation for the compression-induced fracturing and failure of a tower-shaped unstable rock mass. It also provides a theoretical basis for monitoring and early-warning of the steep-high unstable rock mass collapse and disaster prevention and mitigation in limestone area. |
| abstract_unstemmed |
The overall failure mode of a tower-shaped unstable rock mass associated with bottom compression-induced fracturing frequently occurs on the steep-high slope with a gentle dip angle in the karst regions, and its damage-catastrophe mechanism belongs to a key issue in the mountainous disaster discipline. Taking a collapse case of Zengziyan unstable rock mass #W12 in Nanchuan District of Chongqing, China, for example, a damage-catastrophe geomechanical model considering the load and the water- weakening effect was built. A damage constitutive equation and a total damage degree evolution equation were derived based on the strain equivalence principle, and the water-weakening function was developed into a cubic function in one unknown for the softening coefficient. Then, the geomechanical model was simplified into an equivalent spring model and the damage-fold catastrophe model was established by the energy balance theory. Finally, the failure criterion and eigenvalue expression of critical displacement mutation for the tower-shaped unstable rock mass were obtained. The results show that when the unstable rock mass #W12 fails, the control variant determining the stability of a fold catastrophe model is –0.003 251, which is less than zero, demonstrating that the system turns into an unstable state. The initial calculated value of the theoretical displacement mutation of 148.70 mm is smaller than the first inflection point of the measured value of 154.34 mm, and the relative error is about 3.65% which tends to be safer. The theoretical damage constitutive curve and evolution curve are consistent with the numerical results obtained in the literature, suggesting that the theoretical model has a good applicability. The research outcome can be applied to predicting the damage evolution process and the eigenvalue of critical displacement mutation for the compression-induced fracturing and failure of a tower-shaped unstable rock mass. It also provides a theoretical basis for monitoring and early-warning of the steep-high unstable rock mass collapse and disaster prevention and mitigation in limestone area. |
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