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Analytical modeling of bending and vibration of thick advanced composite plates using a four-variable quasi 3D HSDT

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Abstract

This work presents an efficient and original high-order shear and normal deformation theory for the static and free vibration analysis of functionally graded plates. The Hamilton’s principle is used herein to derive the equations of motion. The number of unknowns and governing equations of the present theory is reduced, and hence makes it simple to use. The present plate theory approach accounts for both transverse shear and normal deformations and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. Unlike any other theory, the number of unknown functions involved in displacement field is only four, as against five or more in the case of other shear and normal deformation theories. The accuracy of the proposed solution is checked by comparing it with other closed form solutions available in the literature.

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Authors and Affiliations

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

    Mokhtar Khiloun, Abdelhakim Kaci, Aicha Bessaim & Abdelouahed Tounsi

  2. Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences Exactes, Université de Sidi Bel Abbés, Sidi Bel Abbès, Algeria

    Abdelmoumen Anis Bousahla

  3. Centre Universitaire Ahmed Zabana de Relizane, Relizane, Algeria

    Abdelmoumen Anis Bousahla

  4. Department of Civil Engineering and Hydraulics, University of Saida, Saida, Algeria

    Abdelhakim Kaci

  5. Department of Civil Engineering, University Mustapha Stambouli of Mascara, Mascara, Algeria

    Aicha Bessaim

  6. Department of Civil and Environmental Engineering, King Fahd University of Petroleum and Minerals, Dhahran, Eastern Province, 31261, Saudi Arabia

    Abdelouahed Tounsi

  7. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

    S. R. Mahmoud

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  1. Mokhtar Khiloun
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  2. Abdelmoumen Anis Bousahla
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Khiloun, M., Bousahla, A.A., Kaci, A. et al. Analytical modeling of bending and vibration of thick advanced composite plates using a four-variable quasi 3D HSDT. Engineering with Computers 36, 807–821 (2020). https://doi.org/10.1007/s00366-019-00732-1

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