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Applications of the J-integral to dynamical problems in geotechnical engineering

Garcia-Suarez, J. and Asimaki, D. and Ortiz, M. (2021) Applications of the J-integral to dynamical problems in geotechnical engineering. Journal of the Mechanics and Physics of Solids, 150 . Art. No. 104353. ISSN 0022-5096. doi:10.1016/j.jmps.2021.104353.

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We formulate a path-independent J-integral for the elastodynamic problem expressed in the frequency domain. We show that the path-independence of the integral can be exploited in order to derive ansatz-free identities and rigorous inequalities in certain problems arising in geotechnical engineering. By way of illustration, we specifically consider the problem of assessing seismic pressures on retaining walls. We show that the bounds for the earth thrust derived from the frequency-domain dynamic -integral improve upon previous heuristic and conjectured bounds.

Item Type:Article
Related URLs:
URLURL TypeDescription
Garcia-Suarez, J.0000-0001-8830-4348
Asimaki, D.0000-0002-3008-8088
Ortiz, M.0000-0001-5877-4824
Additional Information:© 2021 Published by Elsevier. Received 10 December 2020, Revised 1 February 2021, Accepted 2 February 2021, Available online 14 February 2021. We would like to thank the anonymous reviewer whose comments helped to improve the paper. A portion of this work was developed during the doctoral studies of the first author, which were sponsored partially by a Talentia Scholarship of the regional government of Andalusia (Spain), and by the Tyson Graduate Fellowship, gifted by the Tyson family. CRediT authorship contribution statement. J. Garcia-Suarez: Conceptualization, Formal analysis, Writing - original draft, Validation. D. Asimaki: Supervision, Writing - review & editing. M. Ortiz: Supervision, Conceptualization, Formal analysis, Supervision, Writing - review & editing. 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
Talentia ScholarshipUNSPECIFIED
Tyson Graduate FellowshipUNSPECIFIED
Subject Keywords:Conservation laws; Path-independent integrals; J integral; Geotechnical engineering; Seismic pressures
Record Number:CaltechAUTHORS:20210216-140504716
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Official Citation:J. Garcia-Suarez, D. Asimaki, M. Ortiz, Applications of the J-integral to dynamical problems in geotechnical engineering, Journal of the Mechanics and Physics of Solids, Volume 150, 2021, 104353, ISSN 0022-5096, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108074
Deposited By: George Porter
Deposited On:16 Feb 2021 23:37
Last Modified:16 Nov 2021 19:08

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