Dynamic stress and displacement in an elastic half-space with a cylindrical cavity

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dc.authoridCoşkun, İrfan/0000-0002-1583-0141
dc.authoridOzmutlu, Aydin/0000-0003-2442-2083
dc.authorwosidCoşkun, İrfan/AAZ-6929-2020
dc.authorwosidOzmutlu, Aydin/C-8297-2018
dc.contributor.authorCoskun, I.
dc.contributor.authorEngin, H.
dc.contributor.authorOzmutlu, A.
dc.date.accessioned2024-06-12T10:59:55Z
dc.date.available2024-06-12T10:59:55Z
dc.date.issued2011
dc.departmentTrakya Üniversitesien_US
dc.description.abstractThe dynamic response of an elastic half-space with a cylindrical cavity in a circular cross-section is analyzed. The cavity is assumed to be infinitely long, lying parallel to the plane-free surface of the medium at a finite depth and subjected to a uniformly distributed harmonic pressure at the inner surface. The problem considered is one of plain strain, in which it is assumed that the geometry and material properties of the medium and the forcing function are constant along the axis of the cavity. The equations of motion are reduced to two wave equations in polar coordinates with the use of Helmholtz potentials. The method of wave function expansion is used to construct the displacement fields in terms of the potentials. The boundary conditions at the surface of the cavity are satisfied exactly, and they are satisfied approximately at the free surface of the half-space. Thus, the unknown coefficients in the expansions are obtained from the treatment of boundary conditions using a collocation least-square scheme. Numerical results, which are presented in the figures, show that the wave number (i.e., the frequency) and depth of the cavity significantly affect the displacement and stress.en_US
dc.identifier.doi10.3233/SAV-2010-0602
dc.identifier.endpage838en_US
dc.identifier.issn1070-9622
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-84856388870en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage827en_US
dc.identifier.urihttps://doi.org/10.3233/SAV-2010-0602
dc.identifier.urihttps://hdl.handle.net/20.500.14551/20631
dc.identifier.volume18en_US
dc.identifier.wosWOS:000296764400004en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIos Pressen_US
dc.relation.ispartofShock And Vibrationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDynamic Responseen_US
dc.subjectHalf-Spaceen_US
dc.subjectCavityen_US
dc.subjectWave Functionen_US
dc.subjectLeast-Squares Techniqueen_US
dc.subjectSeismic Responseen_US
dc.subjectLined Tunnelsen_US
dc.subjectShellen_US
dc.subjectDisturbancesen_US
dc.subjectWavesen_US
dc.titleDynamic stress and displacement in an elastic half-space with a cylindrical cavityen_US
dc.typeArticleen_US

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