Convergent and asymptotic expansions of the displacement elastodynamic integral in terms of known functions

Simple item page
dc.contributor.authorFerreira González, Chelo
dc.contributor.authorLópez García, José Luis
dc.contributor.authorPérez Sinusía, Ester
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute for Advanced Materials and Mathematics - INAMAT2en
dc.date.accessioned2025-02-14T09:26:27Z
dc.date.issued2025-05-01
dc.date.updated2025-02-14T09:23:15Z
dc.description.abstractThe integral [Formula presented] plays an essential role in the study of several phenomena in the theory of elastodynamics (Ceballos and Prato, 2014). But an exact evaluation of this integral in terms of known functions is not possible. In this paper, we derive an analytic representation of this integral in the form of convergent series of elementary functions and hypergeometric functions. This series have an asymptotic character for either, small values of the variable s, or for small values of the variables r and R. It is derived by using the asymptotic technique designed in Lopez (2008) for Mellin convolution integrals. Some numerical experiments show the accuracy of the approximation supplied by the first few terms of the expansion.en
dc.description.sponsorshipThis research was supported by the Spanish Ministerio de Ciencia, Innovación Universidades, project PID2022-136441NB-I00
dc.embargo.lift2027-05-01
dc.embargo.terms2027-05-01
dc.format.mimetypeapplication/pdfen
dc.identifier.citationFerreira, C., López, J. L., Pérez Sinusía, E. (2025). Convergent and asymptotic expansions of the displacement elastodynamic integral in terms of known functions. Journal of Computational and Applied Mathematics, 460, 1-9. https://doi.org/10.1016/j.cam.2024.116395.
dc.identifier.doi10.1016/j.cam.2024.116395
dc.identifier.issn0377-0427
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/53403
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofJournal of Computational and Applied Mathematics (2025), vol. 460, 116395
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-136441NB-I00/ES/
dc.relation.publisherversionhttps://doi.org/10.1016/j.cam.2024.116395
dc.rights© 2024 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectAsymptotic expansionsen
dc.subjectBessel functionsen
dc.subjectConvergent expansionsen
dc.subjectElastodynamic integralen
dc.titleConvergent and asymptotic expansions of the displacement elastodynamic integral in terms of known functionsen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dspace.entity.typePublication
relation.isAuthorOfPublication8b28fd50-66f4-431e-a219-43d8c02bb077
relation.isAuthorOfPublicatione6cd33c5-6d5e-455c-b8da-32a9702e16c8
relation.isAuthorOfPublication93f891c7-529d-4972-8759-9d943c60949c
relation.isAuthorOfPublication.latestForDiscoverye6cd33c5-6d5e-455c-b8da-32a9702e16c8

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
Ferreira_ConvergentAsymptotic.pdf
Size:
747.86 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed to upon submission
Description:
Download

Collections

Artículos de revista DEIM - EIMS Aldizkari artikuluak
Artículos de revista - Aldizkari artikuluak
Artículos de revista INAMAT2 - INAMAT2 aldizkari artikuluak