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- Title
Efficient higher-order shear deformation theories for bending and free vibration analyses of functionally graded plates.
- Authors
Thai, Huu-Tai; Choi, Dong-Ho
- Abstract
In this paper, various efficient higher-order shear deformation theories are presented for bending and free vibration analyses of functionally graded plates. The displacement fields of the present theories are chosen based on cubic, sinusoidal, hyperbolic, and exponential variations in the in-plane displacements through the thickness of the plate. By dividing the transverse displacement into the bending and shear parts and making further assumptions, the number of unknowns and equations of motion of the present theories is reduced and hence makes them simple to use. Equations of motion are derived from Hamilton's principle. Analytical solutions for deflections, stresses, and frequencies are obtained for simply supported rectangular plates. The accuracy of the present theories is verified by comparing the obtained results with the exact three-dimensional (3D) and quasi-3D solutions and those predicted by higher-order shear deformation theories. Numerical results show that all present theories can archive accuracy comparable to the existing higher-order shear deformation theories that contain more number of unknowns.
- Subjects
SHEAR (Mechanics); DEFORMATIONS (Mechanics); BENDING (Metalwork); FREE vibration; FUNCTIONALLY gradient materials; STRUCTURAL plates; ANALYTICAL solutions
- Publication
Archive of Applied Mechanics, 2013, Vol 83, Issue 12, p1755
- ISSN
0939-1533
- Publication type
Article
- DOI
10.1007/s00419-013-0776-z