Nonlocal buckling of embedded magnetoelectroelastic sandwich nanoplate using refined zigzag theory

被引:32
作者
Ghorbanpour-Arani, A. [1 ,2 ]
Kolahdouzan, F. [1 ]
Abdollahian, M. [1 ]
机构
[1] Univ Kashan, Fac Mech Engn, Kashan 8731753153, Iran
[2] Univ Kashan, Inst Nanosci & Nanotechnol, Kashan 8731753153, Iran
关键词
sandwich nanoplate (SNP); refined zigzag theory (RZT); nonlocal magnetoelectroelasticity theory; buckling; magnetostrictive layer; FREE-VIBRATION ANALYSIS; LAMINATED COMPOSITE; NONLINEAR VIBRATION; STATIC ANALYSIS; PLATES; ELASTICITY; SURFACE; BEAMS;
D O I
10.1007/s10483-018-2319-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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 BaTiO3/CoFe2O4. 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.
引用
收藏
页码:529 / 546
页数:18
相关论文
共 48 条
[1]   Static analysis of rectangular nano-plate using three-dimensional theory of elasticity [J].
Alibeigloo, A. ;
Zanoosi, A. A. Pasha .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (10-11) :7016-7026
[2]   Elastic buckling and vibration analyses of orthotropic nanoplates using nonlocal continuum mechanics and spline finite strip method [J].
Analooei, H. R. ;
Azhari, M. ;
Heidarpour, A. .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (10-11) :6703-6717
[3]   Size-dependent nonlinear forced vibration analysis of magneto-electro-thermo-elastic Timoshenko nanobeams based upon the nonlocal elasticity theory [J].
Ansari, R. ;
Gholami, R. ;
Rouhi, H. .
COMPOSITE STRUCTURES, 2015, 126 :216-226
[4]   Nonlinear vibration of a nanobeam elastically bonded with a piezoelectric nanobeam via strain gradient theory [J].
Arani, A. Ghorbanpour ;
Abdollahian, M. ;
Kolahchi, R. .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2015, 100 :32-40
[5]   Vibration of bioliquid-filled microtubules embedded in cytoplasm including surface effects using modified couple stress theory [J].
Arani, A. Ghorbanpour ;
Abdollahian, M. ;
Jalaei, M. H. .
JOURNAL OF THEORETICAL BIOLOGY, 2015, 367 :29-38
[6]   Vibration and buckling of laminated sandwich plates having interfacial imperfections [J].
Chakrabarti, Anupam ;
Topdar, Pijush ;
Sheikh, Abdul Hamid .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2006, 25 (06) :981-995
[7]   Higher order zig-zag theory for fully coupled thermo-electric-mechanical smart composite plates [J].
Cho, M ;
Oh, J .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2004, 41 (5-6) :1331-1356
[8]   Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories [J].
Daneshmehr, Alireza ;
Rajabpoor, Amir ;
Hadi, Amin .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2015, 95 :23-35
[10]   C0 beam elements based on the Refined Zigzag Theory for multilayered composite and sandwich laminates [J].
Gherlone, Marco ;
Tessler, Alexander ;
Di Sciuva, Marco .
COMPOSITE STRUCTURES, 2011, 93 (11) :2882-2894