International Journal of Mining and Geo-Engineering

International Journal of Mining and Geo-Engineering

Finite element analysis of rockfall attenuator systems under dynamic impact behavior

Document Type : Research Paper

Authors
1 Department of Mining and Metallurgical Engineering, Yazd University, Yazd, Iran.
2 Thurber Engineering Ltd, Vancouver, British Columbia, Canada.
10.22059/ijmge.2026.418780.595407
Abstract
Rockfall attenuator systems are increasingly used as flexible protection measures to reduce the impact intensity of falling blocks and guide them toward controlled deposition zones. Due to the highly dynamic nature of rockfall impacts and the complex interaction between the falling block, mesh, cables, and anchorage system, evaluating the mechanical behavior of attenuators remains a significant engineering challenge. In this study, a three-dimensional finite element model of a rockfall attenuator system was developed and validated against full-scale impact-test data. The numerical response was evaluated through deformation behavior, tensile forces in supporting cables, contact pressure distribution, and energy absorption characteristics. The results showed that the model successfully reproduced the main deformation mechanism of the attenuator, including localized mesh deformation, progressive load redistribution, and post-impact stabilization. The predicted cable-force histories also showed reasonable agreement with experimental measurements, indicating that the FEM model captured the primary load-transfer mechanism within the rope network. The contact-pressure results confirmed the transition from localized impact to distributed load transfer during deformation. In addition, the kinetic energy of falling block decreased from approximately 0.53 × 10⁶ J to 0.23 × 10⁶ J during the attnutaion process, indicating that nearly 56% of the initial impact energy was absorbed by the attenuator system during the primary impact phase. The stable total-energy response and negligible artificial strain energy confirmed the numerical stability and reliability of the explicit dynamic model. The results demonstrate that the developed finite element model provides a reliable representation of dynamic behavior and energy absorption performance of rockfall attenuator systems under impact loading.
Keywords
Subjects

[1] Sasiharan, N., Muhunthan, B., Badger, T. C., Shu, S., & Carradine, D. M. (2006). Numerical analysis of the performance of wire mesh and cable net rockfall protection systems. Engineering Geology, 88(1–2), 121–132.
[2] Bertolo, P., Oggeri, C., & Peila, D. (2009). Full-scale testing of draped nets for rock fall protection. Canadian Geotechnical Journal, 46(3), 306–317.
[3] Arndt, B., Ortiz, T., & Turner, A. K. (2009). Colorado’s Full-Scale Field Testing of Rockfall Attenuator Systems. Transportation Research Circular E-C141, Transportation Research Board, Washington, DC.
[4] Ronco, C., Oggeri, C., & Peila, D. (2009). Design of reinforced ground embankments used for rockfall protection. Natural Hazards and Earth System Sciences, 9, 1189–1199.
[5] Gottardi, G., & Govoni, L. (2010). Full-scale modelling of falling rock protection barriers. Rock Mechanics and Rock Engineering, 43(3), 261–274.
[6] Govoni, L., de Miranda, S., Gentilini, C., Gottardi, G., & Ubertini, F. (2011). Modelling of falling rock protection barriers. International Journal of Physical Modelling in Geotechnics, 11(4), 126–137.
[7] Volkwein, A., Schellenberg, K., Labiouse, V., Agliardi, F., Berger, F., Bourrier, F., Dorren, L. K. A., Gerber, W., & Jaboyedoff, M. (2011). Rockfall characterisation and structural protection – A review. Natural Hazards and Earth System Sciences, 11, 2617–2651.
[8] Dhakal, S., Bhandary, N. P., Yatabe, R., & Kinoshita, N. (2011). Experimental, numerical and analytical modelling of a newly developed rockfall protective cable-net structure. Natural Hazards and Earth System Sciences, 11, 3197–3212.
[9] Gentilini, C., Govoni, L., de Miranda, S., Gottardi, G., & Ubertini, F. (2012). Three-dimensional numerical modelling of falling rock protection barriers. Computers and Geotechnics, 44, 58–72.
[10] Gentilini, C., Gottardi, G., Govoni, L., Mentani, A., & Ubertini, F. (2013). Design of falling rock protection barriers using numerical models. Engineering Structures, 50, 96–106.
[11] Escallón, J. P., Wendeler, C., Chatzi, E., & Bartelt, P. (2014). Parameter identification of rockfall protection barrier components through an inverse formulation. Engineering Structures, 77, 1–16.
[12] Kwan, J. S. H., Chan, S. L., Cheuk, J. C. Y., & Koo, R. C. H. (2014). A case study on an open hillside landslide impacting on a flexible rockfall barrier at Jordan Valley, Hong Kong. Landslides, 11(6), 1037–1050.
[13] Escallón, J. P., Boetticher, V., Wendeler, C., Chatzi, E., & Bartelt, P. (2015). Mechanics of chain-link wire nets with loose connections. Engineering Structures, 101, 68–87.
[14] Mentani, A., Govoni, L., Gottardi, G., Lambert, S., Bourrier, F., & Toe, D. (2016). A new approach to evaluate the effectiveness of rockfall barriers. Procedia Engineering, 158, 398–403.
[15] Castanon-Jano, L., Blanco-Fernandez, E., Castro-Fresno, D., & Ballester-Muñoz, F. (2017). Energy dissipating devices in falling rock protection barriers. Rock Mechanics and Rock Engineering, 50(3), 603–619.
[16] Castanon-Jano, L., Blanco-Fernandez, E., Castro-Fresno, D., & Ferreño, D. (2018). Use of explicit FEM models for the structural and parametrical analysis of rockfall protection barriers. Engineering Structures, 166, 212–226.
[17] Xu, H., Gentilini, C., Yu, Z. X., Qi, X., & Zhao, S. C. (2018). An energy allocation based design approach for flexible rockfall protection barriers. Engineering Structures, 173, 831–852.
[18] Qi, X., Yu, Z. X., Zhao, L., Xu, H., & Zhao, S. C. (2018). A new numerical modelling approach for flexible rockfall protection barriers based on failure modes. Advanced Steel Construction, 14(3), 479–495.
[19] Coulibaly, J. B., Chanut, M. A., Lambert, S., & Nicot, F. (2019). Toward a generic computational approach for flexible rockfall barrier modeling. Rock Mechanics and Rock Engineering, 52, 4475–4496.
[20] Ge, Z., & Liu, H. (2023). Numerical investigation on the dynamic response of rockfall impacts on flexible barrier under seismic loading. Natural Hazards, 115, 1213–1234.
[21] Zhao, L., Yu, Z. X., Liu, Y. P., He, J. W., Chan, S. L., & Zhao, S. C. (2020). Numerical simulation of responses of flexible rockfall barriers under impact loading at different positions. Journal of Constructional Steel Research, 167, 105953.
[22] Yu, Z. X., Luo, L. R., Liu, C., Guo, L. P., Qi, X., & Zhao, L. (2021). Dynamic response of flexible rockfall barriers with different block shapes. Landslides, 18, 2621–2637.
[23] Sautter, K. B., Hofmann, H., Wendeler, C., Wilson, P., Bucher, P., Bletzinger, K. U., & Wüchner, R. (2021). Advanced modeling and simulation of rockfall attenuator barriers via partitioned DEM–FEM coupling. Frontiers in Built Environment, 7, 659382.
[24] Caviezel, A., Munch, J., Bartelt, P., & Lanter, A. (2022). Rockfall Barrier Service Loads for Rock Impacts with Spin: Theory and Experiments. WSL Berichte 125, Swiss Federal Institute for Forest, Snow and Landscape Research WSL.
[25] Zhang, L., Yu, Z. X., Luo, L. R., Liao, L. X., Jin, Y. T., & Xu, H. (2023). An evaluation method for quantifying the residual performance of flexible rockfall barriers after impact. International Journal of Impact Engineering, 181, 104766.
[26] Qi, X., Zhao, L., & Meng, Q. C. (2024). Prediction method for the tension force of support ropes in flexible rockfall barriers based on full-scale experiments and numerical analysis. Scientific Reports, 14, 9969.
[27] Guo, L. P., He, J. W., Yu, Z. X., Qi, X., Zhao, L., & Liu, C. (2024). Damage assessment of ring nets in flexible barriers subjected to consecutive rockfall impacts. Canadian Geotechnical Journal.
[28] Pimpinella, F., Lambert, S., Bourrier, F., & Nicot, F. (2025). A generalized multi-component analytical method to study flexible rockfall barriers. Computers and Geotechnics.

Articles in Press, Accepted Manuscript
Available Online from 08 September 2026