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Steel and Composite Structures Volume 20, Number 4, March20 2016 , pages 889-912 DOI: https://doi.org/10.12989/scs.2016.20.4.889 |
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Mechanical and hygrothermal behaviour of functionally graded plates using a hyperbolic shear deformation theory |
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Imene Laoufi, Mohammed Ameur, Mohamed Zidi, El Abbes Adda Bedia and Abdelmoumen Anis Bousahla
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| Abstract | ||
| Using the hyperbolic shear deformation plate model and including plate-foundation interaction (Winkler and Pasternak model), an analytical method in order to determine the deflection and stress distributions in simply supported rectangular functionally graded plates (FGP) subjected to a sinusoidal load, a temperature and moisture fields. The present theory exactly satisfies stress boundary conditions on the top and the bottom of the plate. No transversal shear correction factors are needed because a correct representation of the transversal shearing strain is given. Materials properties of the plate (elastic, thermal and moisture expansion coefficients) are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. Numerical examples are presented and discussed for verifying the accuracy of the present theory in predicting the bending response of FGM plates under sinusoidal load and a temperature field as well as moisture concentration. The effects of material properties, temperature, moisture, plate aspect ratio, side-to-thickness ratio, ratio of elastic coefficients (ceramic-metal) and three distributions for both temperature and moisture on deflections and stresses are investigated. | ||
| Key Words | ||
| FG plates; elastic foundation; hyperbolic shear deformation; hygro-thermal load | ||
| Address | ||
| (1) Imene Laoufi, Mohammed Ameur, Mohamed Zidi, El Abbes Adda Bedia, Abdelmoumen Anis Bousahla: Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M'hidi 22000 Sidi Bel Abbes, Algérie; (2) Mohammed Ameur: Département de génie civil, Ecole Nationale Polytechnique d'Oran, Algéie; (3) Mohamed Zidi, El Abbes Adda Bedia: Département de génie civil, Faculté des Sciences de l'Ingénieur, Université Sidi Bel Abbes, Algérie. | ||