Advantages of infinite elements over prespecified boundary conditions in unbounded problems

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dc.contributor.authorErkal, Aykut
dc.contributor.authorLaefer, Debra F.
dc.contributor.authorTezcan, Semih
dc.date.accessioned2021-05-15T12:37:36Z
dc.date.available2021-05-15T12:37:36Z
dc.date.issued2015
dc.departmentMühendislik ve Doğa Bilimleri Fakültesi, İnşaat Mühendisliğien_US
dc.descriptionLaefer, Debra F/0000-0001-5134-5322; Erkal, Aykut/0000-0002-1679-7937
dc.description.abstractThis paper promotes the further development and adoption of infinite elements for unbounded problems. This is done by demonstrating the ease of application and computational efficiency of infinite elements. Specifically, this paper introduces a comprehensive set of coordinate and field variable mapping functions for one-dimensional and two-dimensional infinite elements and the computational steps for the solution of the affiliated combined finite-infinite element models. Performance is then benchmarked against various parametric models for deflections and stresses in two examples of solid, unbounded problems: (1) a circular, uniformly-distributed load, and (2) a point load on a semiinfinite, axisymmetrical medium. The results are compared with those from the respective closed-form solution. As an example, when the vertical deflections in Example 2 are compared with the closed form solution, the 45% error level generated with fixed boundaries and 14% generated with spring-supported boundaries is reduced to only 1% with infinite elements, even with a coarse mesh. Furthermore, this increased accuracy is achieved with lower computational costs. (C) 2014 American Society of Civil Engineers.en_US
dc.identifier.doi10.1061/(ASCE)CP.1943-5487.0000391
dc.identifier.issn0887-3801
dc.identifier.issn1943-5487
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-84945127965
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1061/(ASCE)CP.1943-5487.0000391
dc.identifier.urihttps://hdl.handle.net/20.500.12939/561
dc.identifier.volume29en_US
dc.identifier.wosWOS:000363089200001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorErkal, Aykut
dc.language.isoen
dc.publisherAsce-Amer Soc Civil Engineersen_US
dc.relation.ispartofJournal of Computing in Civil Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectInfiniteElementsen_US
dc.subjectUnbounded Problemen_US
dc.subjectFar Field Domainen_US
dc.subjectFinite Element Methoden_US
dc.subjectBoussinesq Problemen_US
dc.titleAdvantages of infinite elements over prespecified boundary conditions in unbounded problems
dc.typeArticle

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