A strong-form meshfree computational method for plane elastostatic equations of anisotropic functionally graded materials via multiple-scale Pascal polynomials

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dc.authorid0000-0002-6655-3543en_US
dc.contributor.authorOruç, Ömer
dc.date.accessioned2024-02-16T07:20:59Z
dc.date.available2024-02-16T07:20:59Z
dc.date.issued2023en_US
dc.departmentDicle Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractA strong-form meshfree method is proposed for solving plane elastostatic equations of anisotropic functionally graded materials. Any general function may be the grading function and it is changing smoothly from location to location in the material. The proposed method is based on Pascal polynomial basis and multiple-scale technique and it is a genuinely meshfree method since no numerical integrations over domains and meshing processes are required for considered problems. Implementation of the proposed method is straightforward and the method gives very accurate results. Stability of the solutions are examined numerically in occurrence of random noise. Some certain test problems with known exact solutions are solved both on regular and irregular geometries. Acquired solutions by the suggested method are compared with the exact solutions as well as with solutions of some existing numerical techniques in literature, such as boundary element, meshless local Petrov–Galerkin and radial basis function based meshless methods, to show accuracy of the proposed method.en_US
dc.identifier.citationOruç, Ö. (2023). A strong-form meshfree computational method for plane elastostatic equations of anisotropic functionally graded materials via multiple-scale Pascal polynomials, 146, 132,145.en_US
dc.identifier.doi10.1016/j.enganabound.2022.09.009
dc.identifier.endpage145en_US
dc.identifier.issn0955-7997
dc.identifier.scopus2-s2.0-85140477806
dc.identifier.scopusqualityQ1
dc.identifier.startpage132en_US
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S095579972200306X?via%3Dihub
dc.identifier.urihttps://hdl.handle.net/11468/13332
dc.identifier.volume146en_US
dc.identifier.wosWOS:000882359500005
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorOruç, Ömer
dc.language.isoenen_US
dc.publisherElsevier Ltd.en_US
dc.relation.ispartofEngineering Analysis with Boundary Elements
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAnisotropic elasticityen_US
dc.subjectFunctionally graded materialsen_US
dc.subjectMeshfree methoden_US
dc.subjectMultiple-scale Pascal polynomial methoden_US
dc.titleA strong-form meshfree computational method for plane elastostatic equations of anisotropic functionally graded materials via multiple-scale Pascal polynomialsen_US
dc.titleA strong-form meshfree computational method for plane elastostatic equations of anisotropic functionally graded materials via multiple-scale Pascal polynomials
dc.typeArticleen_US

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