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Structural Engineering and Mechanics Volume 62, Number 3, May10 2017 , pages 311-324 DOI: https://doi.org/10.12989/sem.2017.62.3.311 |
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Bending analysis of functionally graded plates using new eight-unknown higher order shear deformation theory |
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Tran Minh Tu, Tran Huu Quoc and Nguyen Van Long
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| Abstract | ||
| In this paper a new eight-unknown higher order shear deformation theory is proposed for functionally graded (FG) material plates. The theory based on full twelve-unknown higher order shear deformation theory, simultaneously satisfy zeros transverse stresses at top and bottom surface of FG plates. Equations of motion are derived from principle of virtual displacement. Exact closed-form solutions are obtained for simply supported rectangular FG plates under uniform loading. The accuracy of present numerical results has been verified by comparing it with generalized shear deformation theory. The effect of power law index of functionally graded material, side-to-thickness ratio, and aspect ratio on static behavior of FG plates is investigated. | ||
| Key Words | ||
| bending analysis; functionally graded materials; higher order shear deformation theory; closed-form solution | ||
| Address | ||
| Tran Minh Tu, Tran Huu Quoc: National University of Civil Engineering, 55 Giai Phong Road, Hanoi, Vietnam Nguyen Van Long: Construction Technical College No.1, Trung Van, Tu Liem, Hanoi, Vietnam | ||