Open Access
Open access
Advances in Mechanical Engineering, volume 10, issue 8, pages 168781401879333

Buckling analysis of nano-scale magneto-electro-elastic plates using the nonlocal elasticity theory

Weon Tae Park 1
, 
Sung Cheon Han 2
1
 
2
 
Department of Civil & Railroad Engineering, Daewon University College, Jecheon, Republic of Korea | 
Publication type: Journal Article
Publication date: 2018-08-14
scimago Q2
SJR: 0.405
CiteScore: 3.6
Impact factor: 1.9
ISSN: 16878132, 16878140
Mechanical Engineering
Abstract

Buckling analysis of nonlocal magneto-electro-elastic nano-plate is investigated based on the higher-order shear deformation theory. The in-plane magnetic and electric fields can be ignored for magneto-electro-elastic nano-plates. According to magneto-electric boundary condition and Maxwell equation, the variation of magnetic and electric potentials along the thickness direction of the magneto-electro-elastic plate is determined. To reformulate the elastic theory of magneto-electro-elastic nano-plate, the nonlocal differential constitutive relations of Eringen is applied. Using the variational principle, the governing equations of the nonlocal theory are derived. The relations between local and nonlocal theories are studied by numerical results. Also, the effects of nonlocal parameters, in-plane load directions, and aspect ratio on buckling response are investigated. Numerical results show the effects of the electric and magnetic potentials. These numerical results can be useful in the design and analysis of advanced structures constructed from magneto-electro-elastic materials.

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