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Bending and free vibration analysis of porous functionally graded sandwich plate with various porosity distributions using an extended layerwise theory

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Abstract

In this paper, for the first time, the bending and free vibration analysis of porous functionally graded sandwich plates with various porosity distributions is investigated using an efficient layerwise model. The present model, proposed recently by the authors, supposes a first-order displacement field for the two face sheets and a higher-order displacement field for the core, thereby ensuring the displacement continuity at the layer's interface. Unlike the conventional layerwise models, the number of degrees of freedom is fixed and does not increase when increasing the number of layers. This is a very important feature compared to the conventional layerwise models and facilitates significantly the engineering analysis. Three different types of porosity distribution including even, logarithmic-uneven, and linear-uneven porosities are considered. The material properties of the FGM sandwich porous plate are graded continuously through the thickness direction according to a power-law function. The numerical analysis is carried out by using an efficient C0 continuous eight-node quadrilateral isoparametric element developed for this purpose. The governing equations are derived according to Hamilton’s principle and solved by employing the finite element method. The robustness and accuracy of the proposed formulation are ascertained by comparing its results with those available by other researchers in the existing literature. Further, a comprehensive parametric study is examined in detail to show the effects of material distribution, aspect ratios, porosity coefficient, side-to-thickness ratio, porosity distribution, core-to-face thickness ratio, boundary conditions, volume fraction index, modes shapes on the bending and free vibration behaviors of symmetric and non-symmetric FGM porous sandwich plate. The numerical results show that these parameters play significant roles in the bending and free vibration behaviors of the FGM sandwich porous plates. Many new results are also reported, which will serve as a benchmark for future analysis of FGM sandwich plates with porosity.

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Acknowledgements

This research was supported by The Algerian General Directorate of Scientific Research and Technological Development (DGRSDT) and University of Mohamed Khider of Biskra in Algeria.

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Authors and Affiliations

  1. Laboratoire de Recherche en Génie Civil, LRGC, Université de Biskra, B.P. 145, R.P. 07000, Biskra, Algeria

    Mohamed-Ouejdi Belarbi & Hicham Hirane

  2. Laboratoire d’Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli, B.P. 305, R.P. 29000, Mascara, Algérie

    Ahmed Amine Daikh & Mohammed Sid Ahmed Houari

  3. Department of Civil and Environmental Engineering, The NorthCap University, Gurugram, Haryana, 122017, India

    Aman Garg & H. D. Chalak

  4. Division of Mechanics, Civil Engineering Department, Akdeniz University, Antalya, Turkey

    Ömer Civalek

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  1. Mohamed-Ouejdi Belarbi
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  2. Ahmed Amine Daikh
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Belarbi, MO., Daikh, A.A., Garg, A. et al. Bending and free vibration analysis of porous functionally graded sandwich plate with various porosity distributions using an extended layerwise theory. Archiv.Civ.Mech.Eng 23, 15 (2023). https://doi.org/10.1007/s43452-022-00551-0

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