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Geomechanics and Engineering Volume 18, Number 1, May20 2019 , pages 85-96 DOI: https://doi.org/10.12989/gae.2019.18.1.085 |
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Investigation of wave propagation in anisotropic plates via quasi 3D HSDT |
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Soumia Bouanati, Kouider Halim Benrahou, Hassen Ait Atmane, Sihame Ait Yahia, Fabrice Bernard, Abdelouahed Tounsi and E.A. Adda Bedia
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| Abstract | ||
| A free vibration analysis and wave propagation of triclinic and orthotropic plate has been presented in this work using an efficient quasi 3D shear deformation theory. The novelty of this paper is to introducing this theory to minimize the number of unknowns which is three; instead four in other researches, to studying bulk waves in anisotropic plates, other than it can model plates with great thickness ratio, also. Another advantage of this theory is to permits us to show the effect of both bending and shear components and this is carried out by dividing the transverse displacement into the bending and shear parts. Hamilton\'s equations are a very potent formulation of the equations of analytic mechanics; it is used for the development of wave propagation equations in the anisotropic plates. The analytical dispersion relationship of this type of plate is obtained by solving an eigenvalue problem. The accuracy of the present model is verified by confronting our results with those available in open literature for anisotropic plates. Moreover Numerical examples are given to show the effects of wave number and thickness on free vibration and wave propagation in anisotropic plates. | ||
| Key Words | ||
| wave propagation; functionally graded plate; quasi 3D HSDT | ||
| Address | ||
| Soumia Bouanati and Kouider Halim Benrahou: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria Hassen Ait Atmane: 1.)Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria 2.) Department of Civil Engineering, Faculty of Civil Engineering and Architecture, Univesité Hassiba Benbouali de Chlef, Algérie Sihame Ait Yahia: 1.) Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria 2.) Department of Civil Engineering, Faculty of Applied Science, Université Ibn Khaldoun, Tiaret, Algeria Fabrice Bernard: INSA Rennes, Rennes, France Abdelouahed Tounsi: 1.) Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria 2.) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia E.A. Adda Bedia: Centre of Excellence for Advanced Materials Research, King Abdulaziz University, Jeddah, 21589, Saudi Arabia | ||