Zobrazit v EDS

Study on material point failure probability of complex jointed rock masses based on peridynamics.

Uloženo v:
Podrobná bibliografie
Název: Study on material point failure probability of complex jointed rock masses based on peridynamics.
Autoři: Zhao Y; Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming, 650500, Yunnan, China., Zhang X; Faculty of Electric Power Engineering, Kunming University of Science and Technology, Kunming, 650500, Yunnan, China., Li Z; Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming, 650500, Yunnan, China. lize@kust.edu.cn., Dong W; Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming, 650500, Yunnan, China., Guo Y; Faculty of Engineering and Informatics, University of Bradford, Bradford, BD7 1DP, UK.
Zdroj: Scientific reports [Sci Rep] 2025 Mar 25; Vol. 15 (1), pp. 10184. Date of Electronic Publication: 2025 Mar 25.
Způsob vydávání: Journal Article
Jazyk: English
Informace o časopise: Publisher: Nature Publishing Group Country of Publication: England NLM ID: 101563288 Publication Model: Electronic Cited Medium: Internet ISSN: 2045-2322 (Electronic) Linking ISSN: 20452322 NLM ISO Abbreviation: Sci Rep Subsets: PubMed not MEDLINE; MEDLINE
Imprint Name(s): Original Publication: London : Nature Publishing Group, copyright 2011-
Abstrakt: In rock masses, the presence of numerous randomly distributed joints introduces uncertainty, making the prediction of failure paths challenging. Among these, key joints significantly influence rock mass fracturing. This study proposes a peridynamics (PD) method based on Monte Carlo simulation analysis, discussing the impact of joints with different dips in complex joint networks on rock mass failure probabilities. Efficient parallel computing programs have been developed, markedly enhancing the computational efficiency of large-scale Monte Carlo simulations for PD analysis. The concept of material point failure probability (PFP) is presented, investigating the variation of PFP contour maps after excluding specific joint dips. Grid-based PFP contour maps and Grid-based JAIC (Joint Angle Impact Coefficient) contour maps are created, enabling a quantitative assessment of rock mass failure probabilities. The study reveals the influence of joint dip angles on the failure probabilities of rock masses with complex joint networks. Additionally, the concept of key and non-key joint dip angles based on the grid is introduced. Statistical methods for identifying key and non-key joints in rock mass grid regions are established, providing new perspectives and tools for understanding and predicting the failure of rock masses with complex joint networks. This research contributes to the reliability study of rock mechanics and provides new theoretical guidance for geotechnical engineering.
(© 2025. The Author(s).)
Competing Interests: Competing interests: The authors declare no competing interests.
References: Huang, J., Xu, S. & Hu, S. Numerical investigations of the dynamic shear behavior of rough rock joints. Rock Mech. Rock Eng. 47, 1727–1743 (2014).
Jiang, S.-H. et al. Three-dimensional discrete element analysis of jointed rock slope stability based on the universal elliptical disc model. Rock Mech. Rock Eng. 57, 505–525 (2024).
Hao, H., Wu, C. & Seah, C. C. Numerical analysis of blast-induced stress waves in a rock mass with anisotropic continuum damage models part 2: Stochastic approach. Rock Mech. Rock Eng. 35, 95–108 (2002).
Aibing, J. et al. Experimental study on the dip characteristics of key joints in rock mass based on improved mechanical equivalence. Chin. J. Rock Mech. Eng. 42, 76–87 (2023).
Jin, A. B. et al. Fracture mechanism of specimens with 3D printing cross joint based on DIC technology. Rock Soil Mech. 41, 3862–3872 (2020).
Su, Q., Ma, Q., Ma, D. & Yuan, P. Dynamic mechanical characteristic and fracture evolution mechanism of deep roadway sandstone containing weakly filled joints with various angles. Int. J. Rock Mech. Min. Sci. 137, 104552 (2021).
Li, D., Han, Z., Zhu, Q., Zhang, Y. & Ranjith, P. G. Stress wave propagation and dynamic behavior of red sandstone with single bonded planar joint at various angles. Int. J. Rock Mech. Min. Sci. 117, 162–170 (2019).
Cao, R. et al. Failure mechanism of non-persistent jointed rock-like specimens under uniaxial loading: Laboratory testing. Int. J. Rock Mech. Min. Sci. 132, 104341 (2020).
Varma, M., Maji, V. B. & Boominathan, A. Influence of rock joints on longitudinal wave velocity using experimental and numerical techniques. Int. J. Rock Mech. Min. Sci. 141, 104699 (2021).
Qian, R. et al. Experimental investigation of mechanical characteristics and cracking behaviors of coal specimens with various fissure angles and water-bearing states. Theor. Appl. Fract. Mech. 120, 103406 (2022).
He, M. C., Li, J. Y., Ren, F. Q. & Liu, D. Q. Experimental investigation on rockburst ejection velocity of unidirectional double-face unloading of sandstone with different bedding angles. Chin. J. Rock Mech. Eng. 40, 433–447 (2021).
Chen, Y. et al. Experimental study on the acoustic emission and fracture propagation characteristics of sandstone with variable angle joints. Eng. Geol. 292, 106247 (2021).
Wang, X. et al. Study on the effects of joints orientation and strength on failure behavior in shale specimen under impact loads. Int. J. Impact Eng. 163, 104162 (2022).
Liu, X., Zhu, W., Zhang, P. & Li, L. Failure in rock with intersecting rough joints under uniaxial compression. Int. J. Rock Mech. Min. Sci. 146, 104832 (2021).
Lin, Q. et al. Crack coalescence in rock-like specimens with two dissimilar layers and pre-existing double parallel joints under uniaxial compression. Int. J. Rock Mech. Min. Sci. 139, 104621 (2021).
Zhang, H., Wu, S., Zhang, Z. & Huang, S. Reliability analysis of rock slopes considering the uncertainty of joint spatial distributions. Comput. Geotech. 161, 105566 (2023).
Silling, S. A. Reformulation of elasticity theory for discontinuities and long-range forces. J. Mech. Phys. Solids 48, 175–209 (2000).
Qin, M., Yang, D. & Chen, W. Numerical investigation of hydraulic fracturing in a heterogeneous rock mass based on peridynamics. Rock Mech. Rock Eng. 56, 4485–4505 (2023).
Sun, G. A dynamic damage constitutive model and three-dimensional internal crack propagation of rock-like materials in bond-based peridynamic. Theor. Appl. Fracture Mech. 130, 104320 (2024).
Tian, F., Liu, Z., Zhou, J., Chen, L. & Feng, X. Quantifying post-peak behavior of rocks with Type-I, Type-II, and mixed fractures by developing a quasi-state-based peridynamics. Rock Mech. Rock Eng. https://doi.org/10.1007/s00603-024-03788-8 (2024).
Soh, A. K. & Yang, C. H. Numerical modeling of interactions between a macro-crack and a cluster of micro-defects. Eng. Fract. Mech. 71, 193–217 (2004).
Dolbow, J., Moës, N. & Belytschko, T. An extended finite element method for modeling crack growth with frictional contact. Comput. Methods Appl. Mech. Eng. 190, 6825–6846 (2001).
Saberhosseini, S. E., Chen, Z. & Sarmadivaleh, M. Multiple fracture growth in modified zipper fracturing. Int. J. Geomech. 21, 04021102 (2021).
Ouinas, D., Bouiadjra, B. B., Benderdouche, N., Saadi, B. A. & Vina, J. Numerical modelling of the interaction macro-multimicrocracks in a plate under tensile stress. J. Comput. Sci. 2, 153–164 (2011).
Zhou, L., Zhu, S., Zhu, Z., Yu, S. & Xie, X. Improved peridynamic model and its application to crack propagation in rocks. R. Soc. Open Sci. 9, 221013 (2022). (PMID: 362778349579778)
Wang, H. et al. Peridynamic-based investigation of the cracking behavior of multilayer thermal barrier coatings. Ceram. Int. 48, 23543–23553 (2022).
Rabczuk, T. & Ren, H. A peridynamics formulation for quasi-static fracture and contact in rock. Eng. Geol. 225, 42–48 (2017).
Gao, C. et al. Strength reduction model for jointed rock masses and peridynamics simulation of uniaxial compression testing. Geomech. Geophys. Geo-energ. Geo-resour. 7, 34 (2021).
Chen, X. & Yu, H. A novel micropolar peridynamic model for rock masses with arbitrary joints. Eng. Fract. Mech. 281, 109099 (2023).
Zhou, X.-P., Gu, X.-B. & Wang, Y.-T. Numerical simulations of propagation, bifurcation and coalescence of cracks in rocks. Int. J. Rock Mech. Min. Sci. 80, 241–254 (2015).
Madenci, E. & Oterkus, E. Peridynamic theory. In Peridynamic Theory and Its Applications (eds Madenci, E. & Oterkus, E.) 19–43 (Springer, 2013).
Silling, S. A. & Bobaru, F. Peridynamic modeling of membranes and fibers. Int. J. Non-Linear Mech. 40, 395–409 (2005).
Silling, S. A. & Askari, E. A meshfree method based on the peridynamic model of solid mechanics. Comput. Struct. 83, 1526–1535 (2005).
Kilic, B. Peridynamic Theory for Progressive Failure Prediction in Homogeneous and Heterogeneous Materials (The University of Arizona, 2008).
Silling, S. A. & Lehoucq, R. B. Peridynamic theory of solid mechanics. In Advances in Applied Mechanics Vol. 44 73–168 (Elsevier, 2010).
Shen, Y. J., Xu, G. L., Yang, G. S. & Ye, W. J. Probability distribution characteristics of rock mass classification and its mechanical parameters based on fine description. Rock Soil Mech. 299, 565 (2014).
Zhang, X. Y., Zhang, L. X. & Li, Z. Reliability analysis of soil slope based on upper bound method of limit analysis. Rock Soil Mech. 39, 1840–1850 (2018).
Li, Z., Chen, Y., Guo, Y., Zhang, X. & Du, S. Element failure probability of soil slope under consideration of random groundwater level. Int. J. Geomech. 21, 04021108 (2021).
Budyn, E., Zi, G., Moës, N. & Belytschko, T. A method for multiple crack growth in brittle materials without remeshing. Int. J. Numer. Methods Eng. 61, 1741–1770 (2004).
Ha, Y. D. & Bobaru, F. Studies of dynamic crack propagation and crack branching with peridynamics. Int. J. Fract. 162, 229–244 (2010).
Grant Information: Grant No. 12262016 the National Natural Science Foundation of China under Grant; Grant No. 12162018 the National Natural Science Foundation of China under Grant
Contributed Indexing: Keywords: Crack propagation; Monte Carlo simulation; Numerical simulation; Peridynamics; Random joints
Entry Date(s): Date Created: 20250325 Latest Revision: 20250329
Update Code: 20250331
PubMed Central ID: PMC11933322
DOI: 10.1038/s41598-025-93510-7
PMID: 40128303
Databáze: MEDLINE
Popis
Abstrakt:In rock masses, the presence of numerous randomly distributed joints introduces uncertainty, making the prediction of failure paths challenging. Among these, key joints significantly influence rock mass fracturing. This study proposes a peridynamics (PD) method based on Monte Carlo simulation analysis, discussing the impact of joints with different dips in complex joint networks on rock mass failure probabilities. Efficient parallel computing programs have been developed, markedly enhancing the computational efficiency of large-scale Monte Carlo simulations for PD analysis. The concept of material point failure probability (PFP) is presented, investigating the variation of PFP contour maps after excluding specific joint dips. Grid-based PFP contour maps and Grid-based JAIC (Joint Angle Impact Coefficient) contour maps are created, enabling a quantitative assessment of rock mass failure probabilities. The study reveals the influence of joint dip angles on the failure probabilities of rock masses with complex joint networks. Additionally, the concept of key and non-key joint dip angles based on the grid is introduced. Statistical methods for identifying key and non-key joints in rock mass grid regions are established, providing new perspectives and tools for understanding and predicting the failure of rock masses with complex joint networks. This research contributes to the reliability study of rock mechanics and provides new theoretical guidance for geotechnical engineering.<br /> (© 2025. The Author(s).)
ISSN:2045-2322
DOI:10.1038/s41598-025-93510-7