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Structural Engineering and Mechanics Volume 62, Number 2, April25 2017 , pages 143-149 DOI: https://doi.org/10.12989/sem.2017.62.2.143 |
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Wave propagation in functionally graded beams using various higher-order shear deformation beams theories |
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Lazreg Hadji, Nafissa Zouatnia and Amar Kassoul
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| Abstract | ||
| In this work, various higher-order shear deformation beam theories for wave propagation in functionally graded beams are developed. The material properties of FG beam are assumed graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents, the governing equations of the wave propagation in the FG beam are derived by using the Hamilton\'s principle. The analytic dispersion relations of the FG beam are obtained by solving an eigenvalue problem. The effects of the volume fraction distributions on wave propagation of functionally graded beam are discussed in detail. The results carried out can be used in the ultrasonic inspection techniques and structural health monitoring. | ||
| Key Words | ||
| wave propagation; functionally graded beam; transverse shear deformation; higher-order beam theory | ||
| Address | ||
| Lazreg Hadji: Département de Génie Civil, Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algérie; Laboratoire des Matériaux and Hydrologie, Université de Sidi Bel Abbes, 22000, Sidi Bel Abbes, Algérie Nafissa Zouatnia and Amar Kassoul: Laboratoire de Structures, Géotechnique et Risques, Université Hassiba Benbouali de Chlef, Algérie | ||