A Caltech Library Service

Dynamic soil impedance functions for cylindrical structures buried in elastic half-space

Nguyen, Kien T. and Kusanovic, Danilo S. and Asimaki, Domniki (2022) Dynamic soil impedance functions for cylindrical structures buried in elastic half-space. Soil Dynamics and Earthquake Engineering, 162 . Art. No. 107431. ISSN 0267-7261. doi:10.1016/j.soildyn.2022.107431.

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item:


Spatially-distributed buried structures are highly susceptible to seismic ground motions. The macroscopic soil reactions to soil–structure relative displacements, aka. soil impedance functions (SIFs) and represented by a set of springs and dashpots, are thus very important for the assessment and design of those systems. Previous models to investigate the interaction problems between soil and horizontally buried structures (such as pipelines, tunnels) have been using spring stiffness chosen as static or frequency-independent constants, ignoring the nature of seismic loading and the energy reflected from the ground free surface. This paper presents analytical solutions for computing the frequency-domain SIFs for an infinitely-long cylindrical structure buried horizontally in homogeneous elastic half-space. The main challenge lies in mixed-boundary-value condition, where displacements are prescribed at the circular soil–structure interface and traction-free condition is satisfied along the straight-line ground surface. We used Hankel–Fourier series expansion, image technique, and Graf’s addition theorem to derive solution for axial SIFs. For a more complex in-plane SIFs problem, meanwhile, we used Hankel- and Bessel–Fourier series expansion. The in-plane solution requires numerical evaluation of contour integrals on the physical Riemann sheet, thus nested Gauss–Kronrod quadrature rule as well as Cauchy’s residue theorem are employed. We then verified our analytical solutions using results obtained from finite element simulations, in which a perfect agreement is shown between two approaches. The half-space SIFs are shown to also converge to their full-space counterparts in case of large burial depth. Additionally, parametric study was conducted to examine the variation of frequency-dependent SIFs, normalized with soil shear modulus, in response to the changes in soil Poisson’s ratio and the structure burial depth.

Item Type:Article
Related URLs:
URLURL TypeDescription
Nguyen, Kien T.0000-0001-5761-3156
Kusanovic, Danilo S.0000-0002-0935-2577
Asimaki, Domniki0000-0002-3008-8088
Additional Information:© 2022 Elsevier. Received 8 January 2022, Revised 22 June 2022, Accepted 5 July 2022, Available online 3 August 2022, Version of Record 3 August 2022. The authors would like to thank three anonymous reviewers for their constructive comments and suggestions, that have significantly improved the originally submitted manuscript. The authors gratefully acknowledge the financial support of the Housner Fellowship, the Hellwig Fellowship, and the Drinkward Leadership Chair Fellowship of the Department of Mechanical and Civil Engineering, California Institute of Technology to the first author for conducting doctoral studies at the California Institute of Technology. The authors have Dr. Craig Davis, formerly at the Los Angeles Department of Water and Power, in motivating this work is hereby also acknowledged. CRediT authorship contribution statement. Kien T. Nguyen: Conceptualization, Methodology, Software, Validation, Investigation, Writing – original draft, Visualization. Danilo S. Kusanovic: Validation, Writing – review & editing, Visualization. Domniki Asimaki: Conceptualization, Writing – review & editing, Supervision, Project administration. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Funding AgencyGrant Number
George W. Housner FellowshipUNSPECIFIED
Caltech Division of Engineering and Applied ScienceUNSPECIFIED
Subject Keywords:Dynamic soil impedance functions; Soil spring and dashpot; Buried structures; Soil–structure interaction; Analytical solution; Hankel–Fourier series expansion; Bessel–Fourier series expansion; Finite element analyses
Record Number:CaltechAUTHORS:20220803-536012000
Persistent URL:
Official Citation:Kien T. Nguyen, Danilo S. Kusanovic, Domniki Asimaki, Dynamic soil impedance functions for cylindrical structures buried in elastic half-space, Soil Dynamics and Earthquake Engineering, Volume 162, 2022, 107431, ISSN 0267-7261,
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:116074
Deposited By: George Porter
Deposited On:04 Aug 2022 19:59
Last Modified:04 Aug 2022 19:59

Repository Staff Only: item control page