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Earthquakes and Structures Volume 10, Number 6, June 2016 , pages 1429-1449 DOI: https://doi.org/10.12989/eas.2016.10.6.1429 |
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Effect of porosity on the bending and free vibration response of functionally graded plates resting on Winkler-Pasternak foundations |
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Rabia Benferhat, Tahar Hassaine Daouadji, Mohamed Said Mansour
and Lazreg Hadji
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| Abstract | ||
| The effect of porosity on bending and free vibration behavior of simply supported functionally graded plate reposed on the Winkler-Pasternak foundation is investigated analytically in the present paper. The modified rule of mixture covering porosity phases is used to describe and approximate material properties of the FGM plates with porosity phases. The effect due to transverse shear is included by using a new refined shear deformation theory. The number of unknown functions involved in the present theory is only four as against five or more in case of other shear deformation theories. The Poisson ratio is held constant. Based on the sinusoidal shear deformation theory, the position of neutral surface is determined and the equation of motion for FG rectangular plates resting on elastic foundation based on neutral surface is obtained through the minimum total potential energy and Hamilton | ||
| Key Words | ||
| porosity coefficient; FGM plate; bending and free vibration behavior; elastic foundation | ||
| Address | ||
| Rabia Benferhat, Mohamed Said Mansour: Laboratoire de Géomateriaux, Departement de Génie Civil, Universite Hassiba Benbouali de Chlef, Algerie Tahar Hassaine Daouadji, Lazreg Hadji: Departement de Genie Civil, Universite Ibn Khaldoun de Tiaret, Algerie | ||