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Geomechanics and Engineering Volume 12, Number 1, January 2017 , pages 9-34 DOI: https://doi.org/10.12989/gae.2017.12.1.009 |
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A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation |
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Abdelkarim Benahmed, Mohammed Sid Ahmed Houari, Samir Benyoucef, Khalil Belakhdar and Abdelouahed Tounsi
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| Abstract | ||
| In this work, an efficient and simple quasi-3D hyperbolic shear deformation theory is developed for bending and vibration analyses of functionally graded (FG) plates resting on two-parameter elastic foundation. The significant feature of this theory is that, in addition to including the thickness stretching effect, it deals with only 5 unknowns as the first order shear deformation theory (FSDT). The foundation is described by the Pasternak (twoparameter) model. The material properties of the plate are assumed to vary continuously in the thickness direction by a simple power law distribution in terms of the volume fractions of the constituents. Equations of motion for thick FG plates are obtained within the Hamilton's principle. Analytical solutions for the bending and free vibration analysis are obtained for simply supported plates. The numerical results are given in detail and compared with the existing works such as 3-dimensional solutions and those predicted by other plate theories. It can be concluded that the present theory is not only accurate but also simple in predicting the bending and free vibration responses of functionally graded plates resting on elastic foundation. | ||
| Key Words | ||
| bending; free vibration; functionally graded plate; elastic foundation; quasi-3D hyperbolic shear deformation theory | ||
| Address | ||
| (1) Abdelkarim Benahmed, Mohammed Sid Ahmed Houari, Samir Benyoucef, Khalil Belakhdar, Abdelouahed Tounsi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; (2) Mohammed Sid Ahmed Houari: Université Mustapha Stambouli de Mascara, Department of Civil Engineering, Mascara, Algeria; (3) Abdelouahed Tounsi: Laboratoire de Modeélisation et Simulation Multi-eéchelle, Departement de Physique, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria; (4) Abdelouahed Tounsi: Algerian National Thematic Agency of Research in Science and Technology (ATRST), Algeria. | ||