Journal
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
Volume 11, Issue 2, Pages 203-219Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s10999-014-9260-3
Keywords
Functionally graded plates; Bending; Buckling; Vibration
Funding
- Vietnam National Foundation for Science and Technology Development (NAFOSTED) [107.02-2012.07]
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This paper presents a new higher-order hyperbolic shear deformation theory for analysis of functionally graded plates. In this theory, the transverse shear stresses account for a hyperbolic distribution and satisfy the free-traction boundary conditions on the top and bottom surfaces of the plate. By making a further assumption, the present theory contains only four unknowns and its governing equations is therefore reduced. Equations of motion are derived from Hamilton's principle and Navier-type analytical solutions for simply-supported plates are compared with the existing solutions to verify the validity of the developed theory. The material properties are continuously varied through the plate thickness by the power-law and exponential form. Numerical results are obtained to investigate the effects of the power-law index and side-to-thickness ratio on the deflections, stresses, critical buckling load and natural frequencies.
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