Diffraction of Plane SH Waves by a Cylindrical Cavity in an Infinite Wedge

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dc.contributor.authorKara, Hasan Faik
dc.date.accessioned2024-06-12T11:14:08Z
dc.date.available2024-06-12T11:14:08Z
dc.date.issued2016
dc.departmentTrakya Üniversitesien_US
dc.descriptionWorld Multidisciplinary Civil Engineering-Architecture-Urban Planning Symposium (WMCAUS) -- JUN 13-17, 2016 -- Prague, CZECH REPUBLICen_US
dc.description.abstractDiffraction of plane harmonic SH waves by a cylindrical cavity in a homogeneous, isotropic and linear elastic infinite wedge is investigated. Analytical closed form solution is obtained by utilizing Wave Function Expansion Method and Image Technique. Governing equation of this two dimensional steady-state wave motion problem is the Helmholtz equation. Helmholtz equation for polar coordinates is solved by using Separation of Variables Method. Displacement fields are expressed in terms of Fourier Bessel series in complex form. Complex coefficients of Fourier-Bessel series are to be determined from boundary conditions. Zero-stress boundary condition at cavity inner surface is satisfied directly since polar coordinate systems are used. Free stress conditions at flat surfaces of the infinite wedge are satisfied in closed form via imaging method. In this technique, imaginary cavities symmetric with respect to flat surfaces are considered. With this consideration, scattered waves from imaginary cavities would represent reflections from flat surfaces so that stress free boundary condition on flat surfaces would be automatically satisfied. This technique would generate two additional displacement fields with two additional set of unknown complex Fourier-Bessel constants. These unknowns could be determined from boundary conditions of imaginary cavities. The cylindrical scattered waves from each cavity are defined in different polar coordinate systems. Addition Theorems are used for adequate coordinate transformation. Since Image Technique is used, to maintain angular symmetry, analytical solutions are obtained for a specific wedge whose internal angle is 120 degrees. Also, direction of incident waves has to be either horizontal or on the symmetry line of the wedge and cavity center has to be on the symmetry line. In numerical results, parameters in length dimension are normalized with respect to cavity radius. (C) 2016 The Authors. Published by Elsevier Ltden_US
dc.identifier.doi10.1016/j.proeng.2016.08.633
dc.identifier.endpage1607en_US
dc.identifier.issn1877-7058
dc.identifier.scopus2-s2.0-84997787511en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage1601en_US
dc.identifier.urihttps://doi.org/10.1016/j.proeng.2016.08.633
dc.identifier.urihttps://hdl.handle.net/20.500.14551/23807
dc.identifier.volume161en_US
dc.identifier.wosWOS:000387566500247en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartofWorld Multidisciplinary Civil Engineering-Architecture-Urban Planning Symposium 2016, Wmcaus 2016en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSH Wavesen_US
dc.subjectWedgeen_US
dc.subjectCylindrical Cavityen_US
dc.subjectAddition Theoremsen_US
dc.subjectHalf-Spaceen_US
dc.subjectTunnelsen_US
dc.titleDiffraction of Plane SH Waves by a Cylindrical Cavity in an Infinite Wedgeen_US
dc.typeConference Objecten_US

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