Performance of Ground Anchored Walls Subjected to Dynamic and Pseudo-Static Loading

Arash Saeidi Rashk Olia, Mohammad Oliaei, Heisam Heidarzadeh


This study investigates the response of pre-stressed anchored excavation walls under dynamic and pseudo-static loadings. A finite difference numerical model was developed using FLAC2D, and the results were successfully validated against full-scale experimental data. Analyses were performed on 10, and 20-m-height stabilized excavated slopes with 60° to 90° of inclination angle with the horizon to represent an applicable variety of wall geometries. In dynamic analysis, the statically stabilized models were subjected to 0.2 to 0.6g of the dynamic peak acceleration to evaluate the effect of ground acceleration on their performance. Furthermore, pseudo-static analyses were performed on the statically stabilized models with pseudo-static coefficients ranging from 0.06 to 0.22. The results revealed that ground anchored slopes generally showed acceptable performances under dynamic loading, while higher axial forces were induced to ground anchors in higher and steeper models. Furthermore, comparing the results of dynamic and pseudo-static analyses showed a good agreement between the two methods' predictions in the mobilized axial force along the ground anchors. Pseudo-static coefficients were then proposed to replicate dynamic results, considering the slope geometry and dynamic load peak acceleration. The results revealed that higher and steeper stabilized slopes required higher values of pseudo-static coefficients to match the dynamic predictions successfully. The results indicate that pseudo-static coefficient tend to increase with the increase in dynamic load peak acceleration in any given model.


Doi: 10.28991/cej-2021-03091703

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Geotechnical Earthquake Engineering; Slope Stability; Seismic Stability; Pre-Stressed Anchors; Pseudo-Static Coefficient.


Gazetas, G., N. Gerolymos, and I. Anastasopoulos. “Response of Three Athens Metro Underground Structures in the 1999 Parnitha Earthquake.” Soil Dynamics and Earthquake Engineering 25, no. 7–10 (August 2005): 617–633. doi:10.1016/j.soildyn.2004.11.006.

Gazetas, G., E. Garini, and A. Zafeirakos. “Seismic Analysis of Tall Anchored Sheet-Pile Walls.” Soil Dynamics and Earthquake Engineering 91 (December 2016): 209–221. doi:10.1016/j.soildyn.2016.09.031.

Gazetas, G, P.N Psarropoulos, I Anastasopoulos, and N Gerolymos. “Seismic Behaviour of Flexible Retaining Systems Subjected to Short-Duration Moderately Strong Excitation.” Soil Dynamics and Earthquake Engineering 24, no. 7 (September 2004): 537–550. doi:10.1016/j.soildyn.2004.02.005.

Fragaszy, R. J., G. Denby, J. D. Higgins, and A. Ali. "Seismic Response of Tieback Retaining Walls (Phase I)." Final Report, No. WA-RD-138.1. (1987).

Siller, Thomas J., and Dorothy D. Frawley. “Seismic Response of Multianchored Retaining Walls.” Journal of Geotechnical Engineering 118, no. 11 (November 1992): 1787–1803. doi:10.1061/(asce)0733-9410(1992)118:11(1787).

Siller, Thomas J., Paul P. Christiano, and Jacobo Bielak. “Seismic Response of Tied-Back Retaining Walls.” Earthquake Engineering & Structural Dynamics 20, no. 7 (1991): 605–620. doi:10.1002/eqe.4290200702.

Siller, Thomas J., and Matthew O. Dolly. “Design of Tied‐Back Walls for Seismic Loading.” Journal of Geotechnical Engineering 118, no. 11 (November 1992): 1804–1821. doi:10.1061/(asce)0733-9410(1992)118:11(1804).

Kramer, Steven Lawrence. Geotechnical earthquake engineering. Pearson Education India. (1996).

Farhangi, Visar, Moses Karakouzian, and Marten Geertsema. “Effect of Micropiles on Clean Sand Liquefaction Risk Based on CPT and SPT.” Applied Sciences 10, no. 9 (April 29, 2020): 3111. doi:10.3390/app10093111.

Oliaei, Mohammad, and Hamid Tohidifar. “Seismic Stability of Slopes Reinforced with Sleeved and Unsleeved Piles.” European Journal of Environmental and Civil Engineering 24, no. 8 (March 12, 2018): 1091–1119. doi:10.1080/19648189.2018.1447515.

Peng, Ningbo, Yun Dong, Ye Zhu, and Jie Hong. “Influence of Ground Motion Parameters on the Seismic Response of an Anchored Rock Slope.” Edited by Castorina S. Vieira. Advances in Civil Engineering 2020 (December 23, 2020): 1–10. doi:10.1155/2020/8825697.

Dram, Abdelkader, Sadok Benmebarek, and Umashankar Balunaini. “Performance of Retaining Walls with Compressible Inclusions Under Seismic Loading.” Civil Engineering Journal 6, no. 12 (December 1, 2020): 2474–2488. doi:10.28991/cej-2020-03091631.

Farrokhzad, Farzad, SeyedArmin MotahariTabari, Hamid Abdolghafoorkashani, and Hamidreza Tavakoli. “Seismic Behaviour of Excavations Reinforced with Soil–Nailing Method.” Geotechnical and Geological Engineering (April 7, 2021). doi:10.1007/s10706-020-01625-7.

Tiwari, R. C., N. P. Bhandary, and R. Yatabe. “3-D Elasto-Plastic SEM Approach for Pseudo-Static Seismic Slope Stability Charts for Natural Slopes.” Indian Geotechnical Journal 44, no. 3 (November 16, 2013): 305–321. doi:10.1007/s40098-013-0086-y.

Panah, Ali Komak, and Sina Majidian. “2D Numerical Modelling of Soil-Nailed Structures for Seismic Improvement.” Geomechanics and Engineering 5, no. 1 (February 25, 2013): 37–55. doi:10.12989/gae.2013.5.1.037.

Sabatini, P. J., D. G. Pass, and Robert C. Bachus. Ground anchors and anchored systems. No. FHWA-IF-99-015. United States. Federal Highway Administration. Office of Bridge Technology. (1999)

Donovan, K., W. G. Pariseau, and M. Cepak. "Finite element approach to cable bolting in steeply dipping VCR stopes." Geomechanics application in underground hardrock mining (1984): 65-90.

Kuhlemeyer, Roger L., and John Lysmer. "Finite element method accuracy for wave propagation problems." Journal of the Soil Mechanics and Foundations Division 99, no. 5 (1973): 421-427.

Duncan, James M., and Chin-Yung Chang. "Nonlinear analysis of stress and strain in soils." Journal of Soil Mechanics & Foundations Div 96(5), (1970):1629-1653.

Seed R. B. Duncan J.M. A. “finite element analysis program for evaluation of soil-structure interaction and compaction effects”, Department of Civil Engineering, University of California (1984).

Namjoo, Amir Mostafa, Mohammad Mohsen Toufigh, and Vahid Toufigh. “Experimental Investigation of Interface Behaviour Between Different Types of Sand and Carbon Fibre Polymer.” European Journal of Environmental and Civil Engineering (June 12, 2019): 1–20. doi:10.1080/19648189.2019.1626290.

Namjoo, Amir Mostafa, Khashayar Jafari, and Vahid Toufigh. “Effect of Particle Size of Sand and Surface Properties of Reinforcement on Sand-Geosynthetics and Sand–carbon Fiber Polymer Interface Shear Behavior.” Transportation Geotechnics 24 (September 2020): 100403. doi:10.1016/j.trgeo.2020.100403.

Farhangi, Visar, and Moses Karakouzian. “Effect of Fiber Reinforced Polymer Tubes Filled with Recycled Materials and Concrete on Structural Capacity of Pile Foundations.” Applied Sciences 10, no. 5 (February 25, 2020): 1554. doi:10.3390/app10051554.

Cundall, P. A. "FLAC manual: A computer program for Fast Lagrangian Analysis of Continua." First Revision August (2001).

Briaud, Jean-Louis, and Yujin Lim. “Tieback Walls in Sand: Numerical Simulation and Design Implications.” Journal of Geotechnical and Geoenvironmental Engineering 125, no. 2 (February 1999): 101–110. doi:10.1061/(asce)1090-0241(1999)125:2(101).

Briaud, J. L. "National geotechnical experimentation sites at Texas A&M University: Clay and sand data collected until 1992." Department of Civil Engineering, Texas A&M University, College Station, TX, USA. Report No. NGES-TAMU-001, (1993).

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DOI: 10.28991/cej-2021-03091703


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