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Steel and Composite Structures Volume 27, Number 6, June25 2018 , pages 789-801 DOI: https://doi.org/10.12989/scs.2018.27.6.789 |
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Quasi-3D static analysis of two-directional functionally graded circular plates |
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Chih-Ping Wu and Lu-Ting Yu
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| Abstract | ||
| weak-form formulation of finite annular prism methods (FAPM) based on Reissner's mixed variational theorem (RMVT), is developed for the quasi three-dimensional (3D) static analysis of two-directional functionally graded (FG) circular plates with various boundary conditions and under mechanical loads. The material properties of the circular plate are assumed to obey either a two-directional power-law distribution of the volume fractions of the constituents through the radial-thickness surface or an exponential function distribution varying doubly exponentially through it. These FAPM solutions of the loaded FG circular plates with both simply-supported and clamped edges are in excellent agreement with the solutions obtained using the 3D analytical approach and two-dimensional advanced plate theories available in the literature. | ||
| Key Words | ||
| circular plates; finite annular prism methods; functionally graded material; Reissner's mixed variational theorem; rule of mixtures; various boundary conditions | ||
| Address | ||
| Department of Civil Engineering, National Cheng Kung University, Taiwan, ROC. | ||