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Mathematical Modeling and Analytical Solution of Thermoelastic Stability Problem of Functionally Graded Nanocomposite Cylinders within Different Theories

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dc.creator Fantuzzi, Nicholas
dc.creator Avey, Mahmure
dc.creator Sofiyev, Abdullah
dc.date 2022-04-01T00:00:00Z
dc.date.accessioned 2022-05-10T11:31:16Z
dc.date.available 2022-05-10T11:31:16Z
dc.identifier f48d37d2-3a81-4ce8-a333-56fe6841c557
dc.identifier 10.3390/math10071081
dc.identifier https://avesis.sdu.edu.tr/publication/details/f48d37d2-3a81-4ce8-a333-56fe6841c557/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/97036
dc.description Revolutionary advances in technology have led to the use of functionally graded nanocomposite structural elements that operate at high temperatures and whose properties depend on position, such as cylindrical shells designed as load-bearing elements. These advances in technology require new mathematical modeling and updated numerical calculations to be performed using improved theories at design time to reliably apply such elements. The main goal of this study is to model, mathematically and within an analytical solution, the thermoelastic stability problem of composite cylinders reinforced by carbon nanotubes (CNTs) under a uniform thermal loading within the shear deformation theory (ST). The influence of transverse shear deformations is considered when forming the fundamental relations of CNT-patterned cylindrical shells and the basic partial differential equations (PDEs) are derived within the modified Donnell-type shell theory. The PDEs are solved by the Galerkin method, and the formula is found for the eigenvalue (critical temperature) of the functionally graded nanocomposite cylindrical shells. The influences of CNT patterns, volume fraction, and geometric parameters on the critical temperature within the ST are estimated by comparing the results within classical theory (CT).
dc.language eng
dc.rights info:eu-repo/semantics/openAccess
dc.title Mathematical Modeling and Analytical Solution of Thermoelastic Stability Problem of Functionally Graded Nanocomposite Cylinders within Different Theories
dc.type info:eu-repo/semantics/article


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