Free vibration and buckling analyses of magneto-electro-elastic FGM nanoplates based on nonlocal modified higher-order sinusoidal shear deformation theory

Krzysztof Kamil Żur , Mohammad Arefi , Jinseok Kim , J. Reddy


In this study, the free vibration and buckling responses of functionally graded nanoplates with magneto-electroelastic coupling are studied for the first time using a nonlocal modified sinusoidal shear deformation plate theory including the thickness stretching effect. The constitutive relations for these kind of structures are defined. The equations of motion for rectangular sandwich plates in macro and nano scale are derived using a modified dynamic version of Hamilton’s principle including a contribution of the electric and magnetic fields. The closedform analytical solution to simply supported plates is obtained using Navier solution technique. A power-law distribution and a half cosine variation are used to model the variation of materials properties and electric/ magnetic potentials, respectively. The analytical solutions are verified with well-known solutions in the literature. A parametric study was conducted to show the effect of nonlocal parameter, power-law index, predefined electric and magnetic fields, axial compressive and tensile forces, the aspect ratio of plates, and volume ratio of functionally graded and piezomagnetic layers on mechanical behaviors of nanoplates. Obtained numerical results can be used as benchmark values for validation of correctness of diverse analytical and numerical methods applied for design and analysis of composite nanoelectromechanical systems.
Author Krzysztof Kamil Żur (FME / DMACS)
Krzysztof Kamil Żur,,
- Department of Mechanics and Applied Computer Science
, Mohammad Arefi
Mohammad Arefi,,
, Jinseok Kim
Jinseok Kim,,
, J. Reddy
J. Reddy,,
Journal seriesComposites Part B-Engineering, [Composites Part B: Engineering], ISSN 1359-8368, e-ISSN 1879-1069, (N/A 200 pkt)
Issue year2020
Publication size in sheets0.8
Article number107601
Keywords in English piezoelectric material, free vibration, critical buckling load, nanoplate, magneto-electro-elastic coupling
ASJC Classification2209 Industrial and Manufacturing Engineering; 2210 Mechanical Engineering; 2211 Mechanics of Materials; 2503 Ceramics and Composites
Internal identifierROC 19-20
Languageen angielski
Score (nominal)200
Score sourcejournalList
ScoreMinisterial score = 200.0, 12-02-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 2.466; WoS Impact Factor: 2018 = 6.864 (2) - 2018=6.313 (5)
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