A unified method for stresses in FGM sphere with exponentially-varying properties

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dc.authoridCELEBI, Kerimcan/0000-0001-6294-0872
dc.authoridkeles, ibrahim/0000-0001-8252-2635
dc.contributor.authorCelebi, Kerimcan
dc.contributor.authorYarimpabuc, Durmus
dc.contributor.authorKeles, Ibrahim
dc.date.accessioned2025-01-06T17:37:03Z
dc.date.available2025-01-06T17:37:03Z
dc.date.issued2016
dc.description.abstractUsing the Complementary Functions Method (CFM), a general solution for the one-dimensional steady-state thermal and mechanical stresses in a hollow thick sphere made of functionally graded material (FGM) is presented. The mechanical properties are assumed to obey the exponential variations in the radial direction, and the Poisson's ratio is assumed to be constant, with general thermal and mechanical boundary conditions on the inside and outside surfaces of the sphere. In the present paper, a semi-analytical iterative technique, one of the most efficient unified method, is employed to solve the heat conduction equation and the Navier equation. For different values of inhomogeneity constant, distributions of radial displacement, radial stress, circumferential stress, and effective stress, as a function of radial direction, are obtained. Various material models from the literature are used and corresponding temperature distributions and stress distributions are computed. Verification of the proposed method is done using benchmark solutions available in the literature for some special cases and virtually exact results are obtained.
dc.identifier.doi10.12989/sem.2016.57.5.823
dc.identifier.endpage835
dc.identifier.issn1225-4568
dc.identifier.issn1598-6217
dc.identifier.issue5
dc.identifier.scopus2-s2.0-84963722922
dc.identifier.scopusqualityQ2
dc.identifier.startpage823
dc.identifier.urihttps://doi.org/10.12989/sem.2016.57.5.823
dc.identifier.urihttps://hdl.handle.net/20.500.14669/2094
dc.identifier.volume57
dc.identifier.wosWOS:000376785500003
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTechno-Press
dc.relation.ispartofStructural Engineering and Mechanics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241211
dc.subjectcomplementary functions method
dc.subjectthick sphere
dc.subjectfunctionally graded materials (FGMs)
dc.subjectexponentially varying properties
dc.titleA unified method for stresses in FGM sphere with exponentially-varying properties
dc.typeArticle

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