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Advances in Aircraft and Spacecraft Science Volume 7, Number 2, March 2020 , pages 115-134 DOI: https://doi.org/10.12989/aas.2020.7.2.115 |
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Bending response of functionally graded piezoelectric plates using a two-variable shear deformation theory |
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Ashraf M. Zenkour and Zahra S. Hafed
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| Abstract | ||
| This paper proposes a bending analysis for a functionally graded piezoelectric (FGP) plate through utilizing a two-variable shear deformation plate theory under simply-supported edge conditions. The number of unknown functions used in this theory is only four. The electric potential distribution is assumed to be a combination of a cosine function along the cartesian coordinate. Applying the analytical solutions of FGP plate by using Navier\'s approach and the principle of virtual work, the equilibrium equations are derived. The paper also discusses thoroughly the impact of applied electric voltage, plate\'s aspect ratio, thickness ratio and inhomogeneity parameter. Results are compared with the analytical solution obtained by classical plate theory, first-order-shear deformation theory, higher-order shear deformation plate theories and quasi-three-dimensional sinusoidal shear deformation plate theory. | ||
| Key Words | ||
| FG plate; piezoelectric; bending; two-variable shear plate theory; Navier\'s method | ||
| Address | ||
| Ashraf M. Zenkour: 1.) Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia 2.) Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt Zahra S. Hafed: 1.) Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia 2.) Department of Mathematics, Faculty of Science, King Khaled University, Abha 21589, Saudi Arabia | ||
