[1] De Gijt, J. G., Broeken, M. L. (2013). Quay Walls. SBRCURnet Municipality Rotterdam Port of Rotterdam, SBRCURnet, Rotterdam, The Netherlands, an imprint of the Taylor & Francis Group. Rotterdam, Netherlands
[2] Ebrahimian, B., Zarnousheh Farahani, A. R., Noorzad, A., Izak Abbasian, F. (2023). Examining the Effect of Wall Height on the Seismic Response of Gravity Block Quay Walls. In Proceeding of 5th Iranian National Geotechnical Engineering Conference, Tabriz, Iran.
[3] Ebrahimian, B., Zarnousheh Farahani, A. R. (2023). Seismic Vulnerability Analysis of Caisson-type Gravity Quay Walls with Improved Backfill Using Fragility Curves. Journal of Structural and Construction Engineering, 10(7), 5-31. doi: 10.22065/jsce.2022.358083.2920
[4] Ebrahimian, B., Zarnousheh Farahani, A. R. (2024). Optimizing the geometry of hunchbacked block-type gravity quay walls using non-linear dynamic analyses and supervised machine learning technique. Sharif Journal of Civil Engineering, 40(1), 17-31. doi: 10.24200/j30.2023.61126.3150.
[5] Karafagka, S., Fotopoulou, S., Karatzetzou, A., Kroupi, G., Pitilakis, K. (2023). Seismic performance and vulnerability of gravity quay wall in sites susceptible to liquefaction. Acta Geotechnica, 18(5), 2733-2754.
[6] Ebrahimian, B., Zarnousheh Farahani, A. R., Noorzad, A. (2018). Seismic Behavior of hunchbacked block-type gravity quay wall. In Proceeding of International Conference on Coasts, Ports and Marine Structures (ICOPMAS), Tehran, Iran, 235-236.
[7] Ebrahimian, B., Zarnousheh Farahani, A. R., Noorzad, A. (2019). Effect of applied surcharge length on seismic behavior of broken-back wall. In Proceeding of 8th International Conferences of Seismology and Earthquake Engineering (SEE8), Tehran, Iran.
[8] Shekari, M. R. (2023). Numerical study on response characteristics of a caisson-type quay wall subjected to bidirectional ground shaking. Ocean Engineering, 273, 113639.
[9] Zarnousheh Farahani, A. R., Ebrahimian, B., Noorzad, A. (2018). Considering the geometry effect on the seismic behavior of block type gravity quay walls. In Proceeding of 3rd Iranian Conference on Geotechnical Engineering. Tehran, Iran.
[10] Moghadam, A. M., Ghalandarzadeh, A., Towhata, I., Moradi, M., Ebrahimian, B., Hajialikhani, P. (2009). Studying the effects of deformable panels on seismic displacement of gravity quay walls. Ocean engineering, 36(15-16), 1129-1148.
[11] Baziar, M. H., Sanaie, M., Amirabadi, O. E., Khoshniazpirkoohi, A., Azizkandi, A. S. (2020). Mitigation of hunchbacked gravity quay wall displacement due to dynamic loading using shaking table tests. Ocean Engineering, 216, 108056.
[12] Sadrekarimi, A., Ghalandarzadeh, A., Sadrekarimi, J. (2008). Static and dynamic behavior of hunchbacked gravity quay walls. Soil Dynamics and Earthquake Engineering, 28(2), 99-117.
[13] Anastasopoulos, I., Loli, M., Antoniou, M., Knappett, J., Brennan, A., Gazetas, G. (2015, July). Centrifuge testing of multi-block quay walls. In Proceeding of SECED 2015 conference: earthquake risk and engineering towards a resilient world. Cambridge, UK. pp. 766-777.
[14] Lopez Gumucio, J. P. (2013). Design of Quay Walls using the Finite Element Method: The importance of relieving structures in quay walls, Ph.D. Dissertation, Delft University of Technology, Delft, Netherland.
[15] Ebrahimian, B. (2013). Numerical modelling of the seismic behaviour of gravity-type quay walls. Engineering seismology, geotechnical and structural earthquake engineering, IntechOpen, London, United Kingdom.
[16] Pasquali, R., Lai, C. G., Corigliano, M. (2009). Some issues in seismic analysis and design of blockwork wharves. Journal of Earthquake Engineering, 14(1), 102-130.
[17] Ebrahimian, B., Zarnousheh-Farahani, A. R. (2023). Mitigation of deformations of a hunchbacked block-type gravity quay wall subjected to dynamic loading through optimizing its back-face configuration. In Seismic Evaluation, Damage, and Mitigation in Structures, Woodhead Publishing, Cambridge, United Kingdom, 365-380.
[18] Alielahi, H., Rabeti Moghadam, M. (2017). Fragility curves evaluation for broken-back block quay walls. Journal of Earthquake Engineering, 21(1), 1-22.
[19] Sadrekarimi, A. (2010). Pseudo-static lateral earth pressures on broken-back retaining walls. Canadian Geotechnical Journal, 47(11), 1247-1258.
[20] PIANC, (2001). Seismic Design Guidelines for Port Structures. Brussels: Permanent International Association of Navigation Congresses (PIANC) General Secretariat - Maritime Navigation Commission. Working Group No. 34, Balkema, Tokyo, Japan.
[21] OCDI, (2020). Technical Standards and Commentaries for Port and Harbour Facilities in Japan. Tokyo: Overseas Coastal Area Development Institute of Japan (OCDI).
[22] Mononobe, N. (1929). On determination of earth pressure during earthquake. In Proceeding of World Engineering Congress, 9, 177-185.
[23] Okabe, S. (1924). General theory on earth pressure and seismic stability of retaining wall and dam. In Proceeding of Japanese Society of Civil Engineering, 10(6), 1277-1323.
[24] Azad, A., Yasrobi, S. S., Pak, A. (2008). Seismic active pressure distribution history behind rigid retaining walls. Soil Dynamics and Earthquake Engineering, 28(5), 365-375.
[25] Al Atik, L., Sitar, N. (2010). Seismic earth pressures on cantilever retaining structures. Journal of Geotechnical and Geoenvironmental Engineering ASCE, 136 (10), 1324-1333.
[26] Ertuğrul, Ö. L., Zahin, B. B. (2023). A parametric study on the dynamic lateral earth forces on retaining walls according to European and Turkish Building Earthquake Codes. Turkish Journal of Engineering, 7(3), 196–207. https://doi.org/10.31127/tuje.1100015
[27] Nozu, A., Ichii, K., Sugano, T. (2004). Seismic design of port structures. Journal of Japan Association for Earthquake Engineering, 4(3), 195-208.
[28] Jo, S.-B., Ha, J.-G., Lee, J.-S., & Kim, D.-S. (2016). Evaluation of the seismic earth pressure for inverted T-shape stiff retaining wall in cohesionless soils via dynamic centrifuge. Soil Dynamics and Earthquake Engineering, 92, 345–357. https://doi.org/10.1016/j.soildyn.2016.10.009.
[29] Kramer, S. L. (1996). Geotechnical Earthquake Engineering. In prentice–Hall international series in civil engineering and engineering mechanics. Prentice-Hall, New Jersey, U.S.A.
[30] Yuksel, Z. T., Yuksel, Y., Cetin, K. O., Cevik, E. (2017). Seismic response of hunchbacked block type gravity quay walls. Soil Dynamics and Earthquake Engineering, 101, 225-233.
[31] Potts, D. M., Zdravković, L. (1999). Finite Element Analysis in Geotechnical Engineering: Theory (Vol. 1), Thomas Telford, London, UK.
[32] Itasca, (2019). FLAC Version 8.1: Fast Lagrangian Analysis of Continua-User’s Guide, Itasca Consulting Group Inc., Minneapolis, Minnesota.
[33] Ebrahimian, B., Ehterami, A. A., & Noorzad, A. (2025). Seismic performance of inclined discontinuous broken-back block-type gravity quay walls: Numerical investigation and GEP-based modeling. Ocean Engineering, 315, 119735. https://doi.org/10.1016/j.oceaneng.2024.119735
[34] Ehterami, A. A., Ebrahimian, B., Noorzad, A. (2024). Numerical Investigation of the Influence of Seismic Excitation Characteristics on the Response of Hunchbacked Block-type Quay Walls with Varying Geometries. Journal of Seismology and Earthquake Engineering. doi: 10.48303/jsee.2024.2039374.1121
[35] Sadrekarimi, A. (2013). Dynamic behavior of granular soils at shallow depths from 1 g shaking table tests. Journal of Earthquake Engineering, 17(2), 227-252.
[36] Beaty, M., Byrne. P. (2011). UBCSAND Constitutive Model version 904aR. Itasca UDM Web Site 69.
[37] Hardin, B. O. (1978). The nature of stress-strain behavior for soils. In Proceeding of Earthquake Engineering and Soil Dynamics, ASCE, Pasadena, California, 3-89.
[38] Beaty, M., Byrne, P. (1998). An effective stress model for predicting liquefaction behaviour of sand. Geotechnical Earthquake Engineering and Soil Dynamics, 3, 766-777.
[39] Park, S. S. (2005). A Two Mobilized-plane Model and Its Application for Soil Liquefaction Analysis. Ph.D. Dissertation, University of British Columbia, Canada.
[40] Ebrahimian, B., Zarnousheh-Farahani, A. R. (2023). Developing seismic fragility curves for caisson-type quay walls with improved backfill soil. In Seismic Evaluation, Damage, and Mitigation in Structures, Woodhead Publishing, Cambridge, United Kingdom, 205-234.
[41] Sternik, K. (2015). Technical Notoe: Prediction of Static Liquefaction by Nor Sand Constitutive Model. Studia Geotechnica et Mechanica, 36(3), 75–83. https://doi.org/10.2478/sgem-2014-0029
[42] Rossetto, T., Elnashai, A. (2003). Derivation of vulnerability functions for European-type RC structures based on observational data. Engineering structures, 25 (10), 1241-1263.
[43] Das, B. M., Sobhan, K. (2013). Principles of Geotechnical Engineering (8th ed.). Cengage Learning.
[44] Terzaghi, K., Peck, R. B., & Mesri, G. (1996). Soil Mechanics in Engineering Practice (3rd ed.). Wiley.
[45] Noda, S., Uwabe, T., Chiba, T. (1975). Relation between Seismic Coefficient and Ground Acceleration for Gravity Quay Wall. Report of Port and Harbour Research Institute, 14(4), 67-111.
[46] Matsuo, M., Kenmochi, S., Yagi, H. (1978). Experimental study on earth pressure of retaining wall by field tests. Soils and Foundations, 18(3), 27-41.
[47] Jaky, J. (1944). The coefficient of earth pressure at rest. Journal of the Society of Hungarian Architects and Engineers, 355-358.
[48] Jaky, J. (1948). Pressure in silos. In Proceedings of the 2nd International Conference on Soil Mechanics and Foundation Engineering ICSMFE, London, UK, 103–107.
[49] Coulomb, C.A. 1776. Essai sur une application des règles des maximis et minimis a` quelques proble`mes de statique relatifs a` l’architecture. In Me`moires Acade`mie Royale Pre`sente´s par Divers Savants, Paris. Vol. 7, 343–382.
[50] Wu, T. H. (1976). Soil Mechanics. 2nd Ed. Allyn and Bacon, Boston, USA.
[51] Shahgholi, M., Fakher, A., Jones, C. J. F. P. (2001). Horizontal slice method of analysis. Geotechnique, 51(10), 881-885.
[52] Wang, Y. Z. (2000). Distribution of earth pressure on a retaining wall. Geotechnique, 50(1), 83-88.
[53] Lo, S. R., Xu, D. W. (1992). A strain-based design method for the collapse limit state of reinforced soil walls or slopes. Canadian Geotechnical Journal, 29 (5), 832-842.
[54] Freedman, D. A. (2009). Statistical Models: Theory and Practice. Cambridge University Press, Cambridge, United Kingdom.