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Steel and Composite Structures Volume 18, Number 3, March 2015 , pages 793-809 DOI: https://doi.org/10.12989/scs.2015.18.3.793 |
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A new higher order shear and normal deformation theory for functionally graded beams |
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Mustapha Meradjah, Abdelhakim Kaci, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi and S.R. Mahmoud
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| Abstract | ||
| In this scientific work, constructing of a novel shear deformation beam model including the stretching effect is of concern for flexural and free vibration responses of functionally graded beams. The particularity of this model is that, in addition to considering the transverse shear deformation and the stretching effect, the zero transverse shear stress condition on the beam surface is assured without introducing the shear correction parameter. By employing the Hamilton's principle together with the concept of the neutral axe\'s position for such beams, the equations of motion are obtained. Some examples are performed to demonstrate the effects of changing gradients, thickness stretching, and thickness to length ratios on the bending and vibration of functionally graded beams. | ||
| Key Words | ||
| functionally graded beam; shear deformation theory; stretching effect; neutral surface position | ||
| Address | ||
| (1) Mustapha Meradjah, Abdelhakim Kaci, Abdelouahed Tounsi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; (2) Mohammed Sid Ahmed Houari, Abdelouahed Tounsi: Laboratoire des Structures et Matériaux Avances dans le Génie Civil et Travaux Publics, Université de Sidi Bel Abbes, Faculteéde Technologie, Département de génie civil, Algeria; (3) S.R. Mahmoud: Department of Mathematics, Faculty of Science, King Abdulaziz University, Saudi Arabia; (4) S.R. Mahmoud: Mathematics Department, Faculty of Science, University of Sohag, Egypt. | ||