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Wave Propagation in Functionally-Graded Nanoplates Embedded in a Winkler–Pasternak Foundation with Initial Stress Effect

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Abstract

This paper presents the analysis of wave propagation in functionally-graded (FG) nanoplates on a Winkler–Pasternak foundation. The investigation is carried out in the framework of nonlocal elasticity theory and a new four-unknown higher-order displacement theory including indeterminate integral terms. Hamilton’s principle and Navier’s method are used to obtain the frequency relations of FG nanoplates for different conditions by solving an eigenvalue problem. The obtained results for the frequency and phase velocity of wave propagation in an FG nanoplate are compared with recent outcomes of similar research.

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Authors and Affiliations

  1. Smart Structures Laboratory, University of Ain Temouchent, 46000, Ain Temouchent, Algeria

    M. Ellali

  2. Department of Civil Engineering, University Tahri Mohamed of Bechar, 08000, Bechar, Algeria

    M. Bouazza

  3. Laboratory of Materials and Hydrology, University of Sidi Bel Abbes, 22000, Sidi Bel Abbes, Algeria

    M. Bouazza

  4. Department of Mathematics, Faculty of Science, Kafrelsheikh University, 33516, Kafrelsheikh, Egypt

    A. M. Zenkour

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  1. M. Ellali
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  2. M. Bouazza
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  3. A. M. Zenkour
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Correspondence to M. Bouazza.

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Translated from Fizicheskaya Mezomekhanika, 2023, Vol. 26, No. 1, pp. 47–59.

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Ellali, M., Bouazza, M. & Zenkour, A.M. Wave Propagation in Functionally-Graded Nanoplates Embedded in a Winkler–Pasternak Foundation with Initial Stress Effect. Phys Mesomech 26, 282–294 (2023). https://doi.org/10.1134/S1029959923030049

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