Smart electrical and magnetic stability analysis of exponentially graded shear deformable three-layered nanoplate based on nonlocal piezo-magneto-elasticity theory
Restricted accessResearch articleFirst published online March, 2020
Smart electrical and magnetic stability analysis of exponentially graded shear deformable three-layered nanoplate based on nonlocal piezo-magneto-elasticity theory
The present research deals with magnetic and electric buckling loads of three-layered elastic nanoplate with exponentially graded core and piezomagnetic face-sheets. Material properties of the nano-graphene core obey the exponential function along the thickness direction. The governing equations based on first-order shear deformation theory are deduced using variational method. The influence of nanoscale is considered by employing nonlocal piezo-magneto-elasticity theory. The governing equations of nanostructure are solved analytically. Eventually the effect of significant parameters such as length-scale parameter, in-homogenous index, geometrical characteristics and parameters of foundation on the magneto-electro responses of problem is numerically investigated.
ReddyJN.Analysis of functionally graded plates. Int J Numer Meth Eng2000;
47: 663–684.
2.
NayakAKMoySSJShenoiRA.Free vibration analysis of composite sandwich plates based on Reddy's higher-order theory. Compos B Eng2002;
33: 505–519.
3.
ZenkourAM.A comprehensive analysis of functionally graded sandwich plates: Part 2 – buckling and free vibration. Int J Solids Struct2005;
42: 5243–5258.
4.
PradhanSCPhadikarJK.Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models. Phys Lett A2009;
373: 1062–1069.
5.
WangCYMurmuTAdhikariS.Mechanisms of nonlocal effect on the vibration of nanoplates. Appl Phys Lett2011;
98: 153101.
6.
FarajpourAShahidiARMohammadiM, et al.
Buckling of orthotropic micro/nanoscale plates under linearly varying in-plane load via nonlocal continuum mechanics. Compos Struct2012;
94: 1605–1615.
7.
ArefiM.A complete set of equations for piezo-magnetoelastic analysis of a functionally graded thick shell of revolution. Lat Am J Solids Struct2014;
11: 2073–2092.
8.
LiYSCaiZYShiSY.Buckling and free vibration of magnetoelectroelastic nanoplate based on nonlocal theory. Compos Struct2014;
111: 522–529.
9.
AsemiSRMohammadiMFarajpourA.A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory. Lat Am J Solids Struct2014;
11: 1515–1540.
10.
BaratiMRSadrMHZenkourAM.Buckling analysis of higher order graded smart piezoelectric plates with porosities resting on elastic foundation. Int J Mech Sci2016;
117: 309–320.
11.
KulkarniKSinghBNMaitiDK.Analytical solution for bending and buckling analysis of functionally graded plates using inverse trigonometric shear deformation theory. Compos Struct2015;
134: 147–157.
12.
ArefiMZenkourAM.Free vibration, wave propagation and tension analyses of a sandwich micro/nano rod subjected to electric potential using strain gradient theory. Mater Res Exp2016;
3: 115704.
13.
ZenkourAMArefiM.Nonlocal transient electro thermo mechanical vibration and bending analysis of a functionally graded piezoelectric single-layered nanosheet rest on visco-Pasternak foundation. J Thermal Stress2017;
40: 167–184.
14.
ArefiMZenkourAM.Employing sinusoidal shear deformation plate theory for transient analysis of three layers sandwich nanoplate integrated with piezo-magnetic face-sheets. Smart Mater Struct2016;
25: 115040.
15.
ArefiMZenkourAM.Effect of thermo-magneto-electro-mechanical fields on the bending behaviors of a three-layered nanoplate based on sinusoidal shear-deformation plate theory. J Sandwich Struct Mater2017; in press. DOI: 1099636217697497.
16.
ArefiMZenkourAM.Thermo-electro-mechanical bending behavior of sandwich nanoplate integrated with piezoelectric face-sheets based on trigonometric plate theory. Compos Struct2017;
162: 108–122.
17.
ArefiMZenkourAM.Employing the coupled stress components and surface elasticity for nonlocal solution of wave propagation of a functionally graded piezoelectric Love nano road model. J Intelligent Mater Syst Struct2017;
28: 2403–2413.
18.
Mahiet al.
A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates. Appl Math Modell2015;
39: 2489–2508.
19.
Ait AmarM, et al.
An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions. J Sandwich Struct Mater2014;
16: 293–318.
20.
BouderbaEA.Thermal stability of functionally graded sandwich plates using a simple shear deformation theory. Struct Eng Mech2016;
58: 397–422.
21.
Houariet al.
A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates. Steel Compos Struct2016;
22: 257–276.
22.
ArefiM.Buckling analysis of the functionally graded sandwich rectangular plates integrated with piezoelectric layers under bi-axial loads. J Sandwich Struct Mater2017;
19: 712–735.
23.
Beldjeliliet al.
Hygro-thermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory. Smart Struct Syst2016;
18: 755–786.
24.
Menasriaet al.
A new and simple HSDT for thermal stability analysis of FG sandwich plates. Steel Compos Struct2017;
25: 157–175.
25.
Boukhariet al.
An efficient shear deformation theory for wave propagation of functionally graded material plates. Struct Eng Mech2016;
57: 837–859.
26.
Ait Yahiaet al.
Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories. Struct Eng Mech2015;
53: 1143–1165.
27.
Attiaet al.
Free vibration analysis of functionally graded plates with temperature-dependent properties using various four variable refined plate theories. Steel Compos Struct2015;
18: 187–212.
28.
Tadi BeniY.Size-dependent electromechanical bending, buckling, and free vibration analysis of functionally graded piezoelectric nanobeams. J Intelligent Mater Syst Struct2016;
27: 2199–2215.
29.
EltaherMAHamedMASadounAM, et al.
Mechanical analysis of higher order gradient nanobeams. Appl Math Computat2014;
229: 260–272.
30.
ZhangCChenWZhangC.On propagation of anti-plane shear waves in piezoelectric plates with surface effect. Phys Lett A2012;
376: 3281–3286.
31.
JiangHWangCLuoY.Vibration of piezoelectric nanobeams with an internal residual stress and a nonlinear strain. Phys Lett A2015;
379: 2631–2636.
32.
KaramiBJanghorbanMTounsiA.Effects of triaxial magnetic field on the anisotropic nanoplates. Steel Compos Struct2017;
25: 361–374.
33.
Bouafiaet al.
A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams. Smart Struct Syst2017;
19: 115–126.
34.
Zemriet al.
A mechanical response of functionally graded nanoscale beam: an assessment of a refined nonlocal shear deformation theory beam theory. Struct Eng Mech Int J2015;
54: 693–710.
35.
Bounouaraet al.
A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation. Steel Compos Struct2016;
20: 227–249.
36.
Khetiret al.
A new nonlocal trigonometric shear deformation theory for thermal buckling analysis of embedded nanosize FG plates. Struct Eng Mech2017;
64: 391–402.
37.
Besseghieret al.
Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory. Smart Struct Syst Int J2017;
19: 601–614.
38.
ArefiMZenkourAM.Influence of magneto-electric environments on size-dependent bending results of three-layer piezomagnetic curved nanobeam based on sinusoidal shear deformation theory. J Sandwich Struct Mater2017; 228: 9657–3674. DOI: 1099636217723186.
39.
ArefiM.Surface effect and non-local elasticity in wave propagation of functionally graded piezoelectric nano-rod excited to applied voltage. Appl Math Mech (English Edition) 2016;
37: 289–302.
40.
Bouradaet al.
A new simple shear and normal deformations theory for functionally graded beams. Steel Compos Struct2015;
18: 409–423.
41.
Hebaliet al.
A new quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates, ASCE.J Eng Mech2014;
140: 374–383.
42.
Hamidiet al.
A sinusoidal plate theory with 5-unknowns and stretching effect for thermo mechanical bending of functionally graded sandwich plates. Steel Compos Struct2015;
18: 235–253.
43.
Bousahlaet al.
A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates. Int J Comput Meth2014;
11: 1350082.
44.
ThaiHTChoiDH.Size-dependent functionally graded Kirchhoff and Mindlin plate models based on a modified couple stress theory. Compos Struct2013;
95: 142–153.
45.
Ghorbanpour AraniAZamaniMH.Investigation of electric field effect on size-dependent bending analysis of functionally graded porous shear and normal deformable sandwich nanoplate on silica Aerogel foundation. J Sandwich Struct Mater2017; 21: 2700–2734. DOI: 10.1177/1099636217721405.
46.
Ghorbanpour AraniAZamaniMH.Nonlocal free vibration analysis of FG-porous shear and normal deformable sandwich nanoplate with piezoelectric face sheets resting on silica aerogel foundation. Arab J Sci Eng2018; 43: 4675–4688. DOI: 10.1007/s13369-017-3035-8.
47.
ArefiMZamaniMHKianiM.Size-dependent free vibration analysis of three-layered exponentially graded nanoplate with piezomagnetic face-sheets resting on Pasternak’s foundation. J Intell Mater Syst Struct2017; 29: 774–786. DOI: 10.1177/1045389X17721039.
48.
PanE.Exact solution for simply supported and multilayered magneto-electro-elastic plates. J Appl Mech2001;
68: 608–618.
49.
ArefiMZenkourAM.Size-dependent vibration and bending analyses of the piezomagnetic three-layer nanobeams. Appl Phys A2017;
123: 202.
50.
ArefiMKianiMZenkourAM.Size-dependent free vibration analysis of a three-layered exponentially graded nano-/micro-plate with piezomagnetic face sheets resting on Pasternak’s foundation via MCST. J Sandwich Struct Mater2017; 22: 55–86. DOI: 10.1177/1099636217734279.
51.
ArefiMZenkourAM.Influence of micro-length-scale parameters and inhomogeneities on the bending, free vibration and wave propagation analyses of a FG Timoshenko’s sandwich piezoelectric microbeam. J Sandwich Struct Mater2017; DOI: 1099636217714181.
52.
PradhanSCPhadikarJK.Scale effect and buckling analysis of multilayered graphene sheets based on nonlocal continuum mechanics. J Comp Theo Nano2010;
7: 1948–1954.
