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A new higher order shear deformation model for functionally graded beams

  • Structural Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

In this paper, a new higher order shear deformation model is developed for static and free vibration analysis of functionally graded beams. The theory account for higher-order variation of transverse shear strain through the depth of the beam and satisfies the zero traction boundary conditions on the surfaces of the beam without using shear correction factors. The material properties of the functionally graded beam are assumed to vary according to power law distribution of the volume fraction of the constituents. Based on the present higher-order shear deformation beam theory, the equations of motion are derived from Hamilton’s principle. Navier type solution method was used to obtain frequencies. A static and free vibration frequency is given for different material properties. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.

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Authors and Affiliations

  1. Université Ibn Khaldoun, BP 78, Zaaroura, 14000, Tiaret, Algérie

    Lazreg Hadji & Zoubida Khelifa

  2. Laboratoire des Matériaux & Hydrologie, Université de Sidi Bel Abbes, 22000, Sidi Bel Abbes, Algérie

    Adda Bedia El Abbes

Authors
  1. Lazreg Hadji
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  2. Zoubida Khelifa
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  3. Adda Bedia El Abbes
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Correspondence to Lazreg Hadji.

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Hadji, L., Khelifa, Z. & El Abbes, A.B. A new higher order shear deformation model for functionally graded beams. KSCE J Civ Eng 20, 1835–1841 (2016). https://doi.org/10.1007/s12205-015-0252-0

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  • DOI: https://doi.org/10.1007/s12205-015-0252-0

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