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Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position

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Abstract

A new first-order shear deformation theory is developed for bending and dynamic behaviors of functionally graded plates. Moreover, the number of unknowns of this theory is the least one comparing with the traditional first-order and the other higher order shear deformation theories. The equations governing the axial and transverse deformations of functionally graded plates are derived based on the present first-order shear deformation plate theory and the physical neutral surface concept. There is no stretching–bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. To examine accuracy of the present formulation, several comparison studies are investigated. It can be concluded that the proposed theory is accurate and simple in solving the static bending and free vibration behaviors of functionally graded plates.

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Acknowledgments

This research was supported by the Algerian National Thematic Agency of Research in Science and Technology (ATRST) and university of Sidi Bel Abbes (UDL SBA) in Algeria.

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Authors and Affiliations

  1. Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria

    Hichem Bellifa, Kouider Halim Benrahou, L. Hadji & Abdelouahed Tounsi

  2. Université Ibn Khaldoun, Zaaroura, BP 78, 14000, Tiaret, Algeria

    L. Hadji

  3. Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, Faculté de Technologie, Département de génie civil, Université de Sidi Bel Abbes, Sidi Bel Abbes, Algérie

    Mohammed Sid Ahmed Houari & Abdelouahed Tounsi

  4. Algerian National Thematic Agency of Research in Science and Technology (ATRST), Sidi Bel Abbes, Algeria

    Mohammed Sid Ahmed Houari & Abdelouahed Tounsi

Authors
  1. Hichem Bellifa
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  2. Kouider Halim Benrahou
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  3. L. Hadji
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  4. Mohammed Sid Ahmed Houari
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  5. Abdelouahed Tounsi
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Correspondence to Abdelouahed Tounsi.

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Technical Editor: Fernando Alves Rochinha.

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Bellifa, H., Benrahou, K.H., Hadji, L. et al. Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position. J Braz. Soc. Mech. Sci. Eng. 38, 265–275 (2016). https://doi.org/10.1007/s40430-015-0354-0

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  • DOI: https://doi.org/10.1007/s40430-015-0354-0

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