Bending and free vibrations of functionally graded annular and circular micro-plates under thermal loading

Date

2016-03-01

Author

Eshraghi, Iman
Dağ, Serkan
Soltani, Nasser

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We introduce solution methods capable of treating static bending and free vibration problems involving thermally loaded functionally graded annular and circular micro-plates. Formulation is based on modified couple stress theory; and related governing partial differential equations and boundary conditions are derived by means of Hamilton's principle. Displacement field is expressed in a unified way so as to produce numerical results in accordance with Kirchhoff, Mindlin, and third-order shear deformation theories. All material properties, including the length scale parameter, are assumed to be functions of the thickness coordinate. The static and dynamic problems are solved by means of differential quadrature method. Proposed procedures are verified through comparisons made to the findings available in the technical literature on thermally stressed axisymmetric plates. Detailed numerical results are presented in order to demonstrate the influences of thermal loading magnitude, and material and geometric parameters upon static deformation profiles, stresses, and natural vibration frequencies.

Subject Keywords

Functionally graded materials, Annular and circular micro-plates, Modified couple stress theory, Bending, Free vibrations, Thermal loading

URI

https://hdl.handle.net/11511/46745

Journal

COMPOSITE STRUCTURES

DOI

https://doi.org/10.1016/j.compstruct.2015.11.024

Collections

Department of Mechanical Engineering, Article

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Citation Formats

I. Eshraghi, S. Dağ, and N. Soltani, “Bending and free vibrations of functionally graded annular and circular micro-plates under thermal loading,” COMPOSITE STRUCTURES, pp. 196–207, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46745.