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