Finite Difference Methods for Modeling Soil-Structure Interaction in Geotechnical Engineering

Authors

  • Faisal Al Saud Department of Mathematics, Faculty of Science, King Abdul-Aziz University, Jeddah 21589, Saudi Arabia Author
  • Ahmed Al Harbi Department of Mathematics, Faculty of Science, King Abdul-Aziz University, Jeddah 21589, Saudi Arabia Author
  • Maha Al Otaibi Department of Mathematics, Faculty of Science, King Abdul-Aziz University, Jeddah 21589, Saudi Arabia Author

DOI:

https://doi.org/10.63995/OIKM9538

Keywords:

Finite Difference Method, Geotechnical Engineering, Numerical Modeling, Soil-Structure Interaction, Subsurface Analysis

Abstract

Due to its complexity and site dependent nature, geotechnical engineering very often deals with the problems of soil structure interaction (SSI) that demand for the use of sophisticated elasto plastic numerical modeling techniques. Finite Difference Methods have become a powerful tool to simulate dynamic behavior of soil and structure subjected to various loading conditions among these. In this article, first focus is given to demonstrate the use of finite difference approaches in SSI modeling with their good and bad sides and most recent developments, referring to other advanced works in the field. As the city continues to expand boundaries of construction in adverse conditions, understanding the intricate relationship between soil and structures is becoming more important. Precise prediction of the behavior of soil and structures under static and dynamic loads is essential for each and every one of the structures using underground tunnels, high-rise buildings, and otherwise, to be safe and have long lives. A wide range of complex SSI problems can be approached by finite difference methods. These methods may be continued to infinity in the continuum by discretizing it onto a grid of points and approximating derivatives with finite differences, with which to capture nonlinear behavior of soil and structures with remarkable accuracy. This article first explores theoretical foundations, later on investigations of practical applications and modern developments in studying SSI by means of finite difference modeling are considered.

Downloads

Download data is not yet available.

References

[1] Hooman Torabi and Mohammad T Rayhani. “Three dimensional finite element modeling of seismic soil–structure interaction in soft soil”. In: Computers and Geotechnics 60 (2014), pp. 9–19. DOI: https://doi.org/10.1016/j.compgeo.2014.03.014

[2] Hamid Reza Tabatabaiefar, Behzad Fatahi, Kazem Ghabraie, and Wan-Huan Zhou. “Evaluation of numerical procedures to determine seismic response of structures under influence of soilstructure interaction”. In: Structural Engineering and Mechanics 56.1 (2015), pp. 27–47. DOI: https://doi.org/10.12989/sem.2015.56.1.027

[3] Vladimir Kolar and Ivan Nemec. Modelling of soil-structure interaction. Vol. 58. Elsevier, 2012.

[4] Marc Heylen, Patrick Bossuyt, Philippe Provoost, David Borremans, and Christine Rampelberg. “Making Antennas for 6G”. In: Fusion of Multidisciplinary Research, An International Journal (FMR) 3.1 (2022), pp. 235–247. DOI: https://doi.org/10.63995/LLLN1212

[5] William S Hall and Giuseppe Oliveto. Boundary element methods for soil-structure interaction. Springer Science & Business Media, 2003.

[6] Belhadj Fatma Zohra, Belhadj Ahmed Fouad, and Chabaat Mohamed. “Soil-structure interaction interfaces: literature review”. In: Arabian Journal of Geosciences 15.12 (2022), p. 1130. DOI: https://doi.org/10.1007/s12517-022-10336-7

[7] Gaurav D Dhadse, GD Ramtekkar, and Govardhan Bhatt. “Finite Element Modeling of Soil Structure Interaction System with Interface: A Review.” In: Archives of computational methods in engineering 28.5 (2021). DOI: https://doi.org/10.1007/s11831-020-09505-2

[8] Hamid Reza Tabatabaiefar, Behzad Fatahi, and Bijan Samali. “Finite difference modelling of soil-structure interaction for seismic design of moment resisting building frames”. In: Australian Geomechanics Journal 47.3 (2012), pp. 113–119.

[9] Chandrakant S Desai and Musharraf Zaman. Advanced geotechnical engineering: Soil-structure interaction using computer and material models. CRC Press, 2013.

[10] Tereza Martin, Veronika Ondra, and Karolina Dominik. “The Role of Fiscal vs Monetary Policy in Modern Economics”. In: Fusion of Multidisciplinary Research, An International Journal (FMR) 3.2 (2022), pp. 329–341. DOI: https://doi.org/10.63995/HLCI7139

[11] David J Stevens and Theodor Krauthammer. “A finite difference/finite element approach to dynamic soil-structure interaction modelling”. In: Computers & structures 29.2 (1988), pp. 199–205. DOI: https://doi.org/10.1016/0045-7949(88)90253-2

[12] Ganga Kasi V Prakhya and Subhamoy Bhattacharya. “Numerical models in geotechnics including soil-structure interaction”. In: Modeling in Geotechnical Engineering. Elsevier, 2021, pp. 429–472. DOI: https://doi.org/10.1016/B978-0-12-821205-9.00019-8

[13] H Bolton Seed and J Lysmer. “Soil-structure interaction analyses by finite elements—State of the art”. In: Nuclear Engineering and Design 46.2 (1978), pp. 349–365. DOI: https://doi.org/10.1016/0029-5493(78)90020-1

[14] Hamza Hussain, Khalid Al Tajir, Rashid Habib, Saiyyad Abboud, and Syed Fadel. “The Effects of Political Polarization on Financial Decision Making”. In: Fusion of Multidisciplinary Research, An International Journal (FMR) 4.1 (2023), pp. 420–431. DOI: https://doi.org/10.63995/SIVB6153

[15] Oğuzhan Çetindemir. “Nonlinear constitutive soil models for the soil–structure interaction modeling issues with emphasis on shallow tunnels: A review”. In: Arabian Journal for Science and Engineering 48.10 (2023), pp. 12657–12691. DOI: https://doi.org/10.1007/s13369-023-08140-w

[16] Daniel Dias and Orianne Jenck. “SSI analysis in geotechnical engineering problems using a finite difference method”. In: Deterministic Numerical Modeling of Soil–Structure Interaction (2022), pp. 101–141. DOI: https://doi.org/10.1002/9781119887690.ch3

[17] M Cemal Genes and Suleyman Kocak. “Dynamic soil–structure interaction analysis of layered unbounded media via a coupled finite element/boundary element/scaled boundary finite element model”. In: International Journal for Numerical Methods in Engineering 62.6 (2005), DOI: https://doi.org/10.1002/nme.1212

pp. 798–823.

[18] Suleyman Kocak and Yalcin Mengi. “A simple soil–structure interaction model”. In: Applied Mathematical Modelling 24.8-9 (2000), pp. 607–635. [19] DV Griffiths. “Numerical studies of soil–structure interaction using a simple interface model”. In: Canadian Geotechnical Journal 25.1 (1988), pp. 158–162. DOI: https://doi.org/10.1016/S0307-904X(00)00006-8

[20] M Boulon, P Garnica, and PA Vermeer. “Soil-structure interaction: FEM computations”. In: Studies in applied mechanics 42 (1995), pp. 147–171. DOI: https://doi.org/10.1016/S0922-5382(06)80010-3

[21] Otto von Estorff and Eduardo Kausel. “Coupling of boundary and finite elements for soilstructure interaction problems”. In: Earthquake engineering & structural dynamics 18.7 (1989), pp. 1065–1075. DOI: https://doi.org/10.1002/eqe.4290180711

[22] Khalida A Daud. “Review on soil-structure interaction problems”. In: IOP Conference Series: Materials Science and Engineering. Vol. 888. 1. IOP Publishing. 2020, p. 012015. DOI: https://doi.org/10.1088/1757-899X/888/1/012015

[23] CC Spyrakos, PN Patel, and FT Kokkinos. “Assessment of computational practices in dynamic soil-structure interaction”. In: Journal of computing in civil engineering 3.2 (1989), pp. 143–157. DOI: https://doi.org/10.1061/(ASCE)0887-3801(1989)3:2(143)

[24] Quan Gu, Yongdou Liu, Yong Li, and Chun Lin. “Finite element response sensitivity analysis of three-dimensional soil-foundation-structure interaction (SFSI) systems”. In: Earthquake Engineering and Engineering Vibration 17.3 (2018), pp. 555–566. DOI: https://doi.org/10.1007/s11803-018-0462-9

[25] Kanokwan Chakrii, Pattanapong Saelim, and Nattapong Bui. “The Complete Manual on DualPurpose Electrocatalysts”. In: Fusion of Multidisciplinary Research, An International Journal (FMR) 5.1 (2024), pp. 510–528. DOI: https://doi.org/10.63995/CZJR4986

[26] Jorge Luis Palomino Tamayo and Armando Miguel Awruch. “On the validation of a numerical model for the analysis of soil-structure interaction problems”. In: Latin American Journal of Solids and Structures 13.8 (2016), pp. 1545–1575. DOI: https://doi.org/10.1590/1679-78252450

[27] G Vasilev, S Parvanova, P Dineva, and Frank Wuttke. “Soil-structure interaction using BEM–FEM coupling through ANSYS software package”. In: Soil Dynamics and Earthquake Engineering 70 (2015), pp. 104–117. DOI: https://doi.org/10.1016/j.soildyn.2014.12.007

[28] Liming Hu and Jialiu Pu. “Testing and modeling of soil-structure interface”. In: Journal of geotechnical and geoenvironmental engineering 130.8 (2004), pp. 851–860. DOI: https://doi.org/10.1061/(ASCE)1090-0241(2004)130:8(851)

[29] Glenda Abate and Maria Rossella Massimino. “Dynamic soil-structure interaction analysis by experimental and numerical modelling”. In: Rivista Italiana di Geotecnica 50.2 (2016), pp. 44–70.

[30] H Bolton Seed, Richard N Hwang, and John Lysmer. “Soil-structure interaction analyses for seismic response”. In: Journal of the Geotechnical Engineering Division 101.5 (1975), pp. 439–457. DOI: https://doi.org/10.1061/AJGEB6.0000165

[31] Ranatunga Tharaka, Jayawickrama Nuwan, Weerasinghe Sameera, and Chandrasena Maduranga. “Investigating the Link Between Knowledge and Practical Applications”. In: Fusion of Multidisciplinary Research, An International Journal (FMR) 5.2 (2024), pp. 615–627. DOI: https://doi.org/10.63995/PDHJ2494

[32] D Breysse, H Niandou, S Elachachi, and L Houy. “A generic approach to soil–structure interaction considering the effects of soil heterogeneity”. In: Geotechnique 55.2 (2005), pp. 143–150. DOI: https://doi.org/10.1680/geot.55.2.143.59528

[33] Thevaneyan K David, Renga Rao Krishnamoorthy, and Mohamed Jais IB. “Finite element modelling of soil-structure interaction”. In: Jurnal Teknologi (Sciences & Engineering) 76.8 (2015). DOI: https://doi.org/10.11113/jt.v76.5625

[34] Siddharth G Shah, CH Solanki, and JA Desai. “Soil structure interaction analysis methods-State of art-Review”. In: International Journal of Civil & Structural Engineering 2.1 (2011), pp. 176–204.

[35] William Coetzee, Reiner Khumalo, Brendan Le Roux, and Ebrahim Van Wyk. “Sickle Cell Disease: Causes, Symptoms, and Treatment”. In: Fusion of Multidisciplinary Research, An International Journal (FMR) 3.1 (2022), pp. 275–286. DOI: https://doi.org/10.63995/KRPR3602

[36] Stéphane Grange and Diana Salciarini. Deterministic Numerical Modeling of Soil Structure Interaction. John Wiley & Sons, 2022. DOI: https://doi.org/10.1002/9781119887690

[37] Liu Jingbo and Lu Yandong. “A direct method for analysis of dynamic soil-structure interaction based on interface idea”. In: Developments in geotechnical engineering. Vol. 83. Elsevier, 1998, pp. 261–276. DOI: https://doi.org/10.1016/S0165-1250(98)80018-7

[38] S Bernat and B Cambou. “Soil-structure interaction in shield tunnelling in soft soil”. In: Computers and Geotechnics 22.3-4 (1998), pp. 221–242. DOI: https://doi.org/10.1016/S0266-352X(98)00007-X

[39] MT Rayhani and MH El Naggar. “Physical and numerical modeling of seismic soil-structure interaction in layered soils”. In: Geotechnical and Geological Engineering 30.2 (2012), pp. 331–342. DOI: https://doi.org/10.1007/s10706-011-9471-4

[40] Dan M Ghiocel and Roger G Ghanem. “Stochastic finite-element analysis of seismic soil–structure interaction”. In: Journal of Engineering Mechanics 128.1 (2002), pp. 66–77. DOI: https://doi.org/10.1061/(ASCE)0733-9399(2002)128:1(66)

[41] Angelo Amorosi, DANIELA Boldini, and A Di Lernia. “Dynamic soil-structure interaction: A three-dimensional numerical approach and its application to the Lotung case study”. In: Computers and Geotechnics 90 (2017), pp. 34–54. DOI: https://doi.org/10.1016/j.compgeo.2017.05.016

Downloads

Published

2025-07-03

How to Cite

Faisal Al Saud, Ahmed Al Harbi, & Maha Al Otaibi. (2025). Finite Difference Methods for Modeling Soil-Structure Interaction in Geotechnical Engineering. Fusion of Multidisciplinary Research, An International Journal, 6(2), 769-779. https://doi.org/10.63995/OIKM9538