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GUIDED WAVES IN MULTILAYERED PLATES: AN IMPROVED ORTHOGONAL POLYNOMIAL APPROACH
Author(s): Jiangong Yu, J. E. Lefebvre, L. Elmaimouni, School of Mechanical and Power Engineering, Henan Polytechnic University, Department of Civil Engineering, University of Siegen, Univ Lille Nord de France, F-59000 Lille, France, UVHC, IEMN-DOAE, F-59313 Valenciennes Cedex 9, France, CNRS, UMR 8520, F-59650 Villeneuve d’Ascq, France, ERSITA, Faculte Polydisciplinaire d’Ouarzazate, Univ. Ibn Zohr, 45000 Ouarzazate, Morocco, LMTI, Faculte des Sciences d’Agadir, Universite Ibn Zohr, BP 28/S Agadir, Morocco
Pages: 542-
550
Year: 2014
Issue:
5
Journal: Acta Mechanica Solida Sinica
Keyword: multilayered plate; orthogonal polynomial; dispersion curves; stress profiles;
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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