Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories

By Sihame Ait Yahia, Hassen Ait Atmane, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi. Structural Engineering and Mechanics, 2015

402 citations recorded by the source corpus.

In this work, various higher-order shear deformation plate theories for wave propagation in functionally graded plates are developed. Due to porosities, possibly occurring inside functionally graded materials (FGMs) during fabrication, it is therefore necessary to consider the wave propagation in plates having porosities in this study. The developed refined plate theories have fewer number of unknowns and equations of motion than the first-order shear deformation theory, but accounts for the transverse shear deformation effects without requiring shear correction factors. The rule of mixture is modified to describe and approximate material properties of the functionally graded plates with porosity phases. The governing equations of the wave propagation in the functionally graded plate are derived by employing the Hamilton

Subfields: Biomedical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/64399cc75f51561789a3c167ffc28ffa7f062740

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In Biomedical Engineering

In Mechanics of Materials

Citations in the corpus

Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept (2016, methodology): “2.4 Equations of motion Using the dynamic version of principle of virtual work (Belabed et al. 2014, Draiche et al. 2014, Ait Amar Meziane et al. 2014, Ait Yahia et al. 2015), variationally consistent governing differential equations for the FG nanobeam under consideration are obtained.”
A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation (2016, background): “Due to their new thermo-mechanical characteristics, the applications of functionally graded materials (FGMs) have been speared in various engineering applications (El Meiche et al. 2011, Bourada et al. 2012, Tounsi et al. 2013c, Bouderba et al. 2013, Yaghoobi and Torabi 2013, Ould Larbi et al. 2013,”
On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model (2015, methodology): “…Recently, using a new four variables refined plate theory against five in case of other shear deformation theories, Tounsi and his co-workers (Ait Yahia et al. 2015, Ait Amar Meziane et al. 2014, Draiche et al. 2014, Klouche Djedid et al. 2014, Nedri et al. 2014, Zidi et al. 2014, Sadoune et al.…”
Wave propagation analysis of quasi-3D FG nanobeams in thermal environment based on nonlocal strain gradient theory (2016, neutral): “[10].”
A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates (2016, methodology): “Ait Yahia et al. (2015) studied the wave propagation in FG plates with porosities using various higher-order shear deformation plate theories.”