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Guided waves in multilayered plates: An improved orthogonal polynomial approach

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Abstract

Conventional orthogonal polynomial approach can solve the multilayered plate only when the material properties of two adjacent layers do not change significantly. This paper developed an improved orthogonal polynomial approach to solve wave propagation in multilayered plates with very dissimilar material properties. Through numerical comparisons among the exact solution, the results from the conventional polynomial approach and from the improved polynomial approach, the validity of the improved polynomial approach is illustrated. Finally, it is shown that the conventional polynomial approach can not yield correct continuous normal stress profiles. The improved orthogonal polynomial approach has overcome this drawback.

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Authors and Affiliations

  1. School of Mechanical and Power Engineering, Henan Polytechnic University, 454003, Jiaozuo, China

    Jiangong Yu

  2. Univ Lille Nord de France, F-59000, Lille, France

    J. E. Lefebvre

  3. UVHC, IEMN-DOAE, Valenciennes Cedex 9, F-59313, France

    J. E. Lefebvre

  4. CNRS, UMR 8520, F-59650, Villeneuve d’Ascq, France

    J. E. Lefebvre

  5. Department of Civil Engineering, University of Siegen, D-57068, Siegen, Germany

    Jiangong Yu

  6. ERSITA, Faculté Polydisciplinaire d’Ouarzazate, Univ. Ibn Zohr, 45000, Ouarzazate, Morocco

    L. Elmaimouni

  7. LMTI, Faculté des Sciences d’Agadir, Université Ibn Zohr, BP 28/S, Agadir, Morocco

    L. Elmaimouni

Authors
  1. Jiangong Yu
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  2. J. E. Lefebvre
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  3. L. Elmaimouni
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Corresponding author

Correspondence to Jiangong Yu.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11272115). Jiangong Yu gratefully acknowledges the support by Alexander von Humboldt-Foundation (AvH) to conduct research work at university of Siegen, Germany.

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Yu, J., Lefebvre, J.E. & Elmaimouni, L. Guided waves in multilayered plates: An improved orthogonal polynomial approach. Acta Mech. Solida Sin. 27, 542–550 (2014). https://doi.org/10.1016/S0894-9166(14)60062-8

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  • DOI: https://doi.org/10.1016/S0894-9166(14)60062-8

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