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Orthonormal decomposition of symmetric second rank tensors

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dc.contributor.author Dinçkal, Çiğdem
dc.date.accessioned 2024-05-02T11:52:48Z
dc.date.available 2024-05-02T11:52:48Z
dc.date.issued 2010
dc.identifier.citation Dinçkal, Çiğdem. (2010). "Orthonormal decomposition of symmetric second rank tensors", International Journal of Pure and Applied Mathematics, Vol.65, No.2, pp.225-241. tr_TR
dc.identifier.issn 13118080
dc.identifier.uri http://hdl.handle.net/20.500.12416/8123
dc.description.abstract In this paper, a new orthonormal decomposition method for symmetric second rank tensors namely as, orthonormal tensor basis is presented. Complex variable representation method is developed by using the existing theories in literature. For comparison purposes, a brief review of the spectral method is given. It is shown that stress tensor, as an example to symmetric second rank tensors, is decomposed into six orthonormal parts by orthonormal tensor basis and complex variable representation methods. The matrix forms of these decomposed parts are given. This is the first time in literature that physical meanings of each six decomposed parts which are obtained from the orthonormal decomposition of stress tensor by orthonormal tensor basis and complex variable representation methods, different from the traditionally form, are emphasized. Illustrative applications on orthonormal tensor basis and complex variable representation decomposition methods are given. Finally, it is proved that the spectral method is a non-linear decomposition method which yields three non-linear orthonormal decomposed parts. This case is a significant innovation in decomposition procedures for symmetric second rank tensors in literature. tr_TR
dc.language.iso eng tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Complex Variable Representation Method tr_TR
dc.subject Non-Linear Decomposition Method tr_TR
dc.subject Orthonormal Tensor Basis Method tr_TR
dc.title Orthonormal decomposition of symmetric second rank tensors tr_TR
dc.type article tr_TR
dc.relation.journal International Journal of Pure and Applied Mathematics tr_TR
dc.contributor.authorID 26773 tr_TR
dc.identifier.volume 65 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 225 tr_TR
dc.identifier.endpage 241 tr_TR
dc.contributor.department Çankaya Üniversitesi, Mühendislik Fakültesi, İnşaat Mühendisliği Bölümü tr_TR


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