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Exact seismic response of smooth rigid retaining walls resting on stiff soil

Garcia-Suarez, Joaquin and Asimaki, Domniki (2020) Exact seismic response of smooth rigid retaining walls resting on stiff soil. International Journal for Numerical and Analytical Methods in Geomechanics, 44 (13). pp. 1750-1769. ISSN 0363-9061. doi:10.1002/nag.3082.

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The assessment of forces exerted on walls by the backfill is a recurrent problem in geotechnical engineering, owing to its relevance for both retaining systems and underground structures. In particular, the work by Arias and colleagues, and later also the one by Veletsos and Younan, among others, becomes pertinent when considering pressure increments on underground structures triggered by seismic events. As a first step, they studied the response of a rigid retaining wall resting on rigid bedrock subjected to SV waves, introducing some simplifying assumptions. This paper presents the exact solution to this reference problem. The solution is given in horizontal wavenumber domain; hence, it comes in terms of inverse Fourier transforms, which can be approximated numerically in Mathematica , which in turn are verified against finite‐element simulations. Specific features of this exact solution that were not captured by prior engineering approximations are highlighted and discussed.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper ItemMathematica notebook
Garcia-Suarez, Joaquin0000-0001-8830-4348
Asimaki, Domniki0000-0002-3008-8088
Alternate Title:Younan-Veletsos retaining wall: The exact solution
Additional Information:© 2020 John Wiley & Sons, Ltd. Issue Online: 06 August 2020; Version of Record online: 12 June 2020; Manuscript accepted: 15 April 2020; Manuscript revised: 14 April 2020; Manuscript received: 23 January 2020. The first author would like to thank Dr. C. A. Davis (LADWP) for stimulating discussions on this and other similar problems, and Prof. M. Ortiz (Caltech) for providing the impetus to face down the math.
Subject Keywords:elastodynamics; exact solution; geotechnical engineering; mathematical modeling; retaining walls
Issue or Number:13
Record Number:CaltechAUTHORS:20200218-145423730
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Official Citation:Garcia‐Suarez, J, Asimaki, D. Exact seismic response of smooth rigid retaining walls resting on stiff soil. Int J Numer Anal Methods Geomech. 2020; 44 1750‐ 1769.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101337
Deposited By: Tony Diaz
Deposited On:18 Feb 2020 23:07
Last Modified:01 Jun 2023 22:26

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