Nonlocal buckling of embedded magnetoelectroelastic sandwich nanoplate using refined zigzag theory

• Published in: Applied mathematics and mechanics Vol. 39; no. 4; pp. 529 - 546
• Main Authors: Ghorbanpour-Arani, A., Kolahdouzan, F., Abdollahian, M.
• Format: Journal Article
• Language: English
• Published: Shanghai Shanghai University 01.04.2018; Springer Nature B.V; Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-53153, Iran; Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan 87317-53153, Iran%Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-53153, Iran
• Edition: English ed.
• Subjects: Applications of Mathematics; Barium titanates; Buckling; Classical Mechanics; Cobalt ferrites; Computer simulation; Energy consumption; Fluid- and Aerodynamics; Loads (forces); Magnetoelectroelasticity; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Parameters; Partial Differential Equations; sandwich nanoplate (SNP); magnetostrictive layer; buckling; O343.1; 34A25; nonlocal magnetoelectroelasticity theory; 74G60; refined zigzag theory (RZT); 82D80
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-018-2319-8

This paper is concerned with a buckling analysis of an embedded nanoplate integrated with magnetoelectroelastic (MEE) layers based on a nonlocal magnetoelectroelasticity theory. A surrounding elastic medium is simulated by the Pasternak foundation that considers both shear and normal loads. The sandwich nanoplate (SNP) consists of a core that is made of metal and two MEE layers on the upper and lower surfaces of the core made of BaTiO 3 /CoFe 2 O 4 . The refined zigzag theory (RZT) is used to model the SNP subject to both external electric and magnetic potentials. Using an energy method and Hamilton’s principle, the governing motion equations are obtained, and then solved analytically. A detailed parametric study is conducted, concentrating on the combined effects of the small scale parameter, external electric and magnetic loads, thicknesses of MEE layers, mode numbers, and surrounding elastic medium. It is concluded that increasing the small scale parameter decreases the critical buckling loads.