Computational evaluation of electro-magnetic circuits’ effect on the coupled response of multifunctional magneto-electro-elastic composites plates exposed to hygrothermal fields
Restricted accessResearch articleFirst published online August, 2021
Computational evaluation of electro-magnetic circuits’ effect on the coupled response of multifunctional magneto-electro-elastic composites plates exposed to hygrothermal fields
This work presents a higher order finite element (FE) model to gauge the static behaviour of hygrothermo-magneto-electro-elastic (HTMEE) plates with different electro-magnetic circuits. The FE model is composed of eight-noded isoparametric elements. The displacement equations are presumed to obey the higher order shear deformation theory (HSDT) and the governing equations of motion are obtained with the support of the virtual energy principle. The correctness of the FE model is verified against previously published results. The influence of electro-magnetic boundary conditions associated with hygrothermal loads, stacking sequences, empirical constants and different loading profiles have been studied in detail. The results of this article are the first of its kind in literature. Hence, it is believed to set benchmark for future investigations on multifunctional structures.
PanE.Exact solution for simply supported and multilayered magneto-electro elastic plates. J Appl Mech2001;
68: 608–618.
2.
MilazzoA.A one-dimensional model for dynamic analysis of generally layered magneto-electro-elastic beams. J Sound Vibr2013;
332: 465–483.
3.
WangJChenLFangS.State vector approach to analysis of multilayered magneto-electro-elastic plates. Int J Solids Struct2003;
40: 1669–1680.
4.
XinLHuZ.Free vibration of simply supported and multilayered magneto-electro-elastic plates. Compos Struct2015;
121: 344–350.
5.
ChenJChenHPanE, et al.
Modal analysis of magneto-electro-elastic plates using the state-vector approach. J Sound Vibr2007;
304: 722–734.
6.
HuangDJDingHJChenWQ.Analytical solution for functionally graded magneto-electro-elastic plane beams. Int J Eng Sci2007;
45: 467–485.
7.
VinyasMKattimaniSC.Finite element evaluation of free vibration characteristics of magneto-electro-elastic rectangular plates in hygrothermal environment using higher-order shear deformation theory. Compos Struct2018;
202: 1339–1352.
8.
SladekJSladekVKrahulecS, et al.
The MLPG analyses of large deflections of magnetoelectroelastic plates. Eng Anal Boundary Elements2013;
37: 673–682.
9.
PanEHanF.Exact solution for functionally graded and layered magneto-electro-elastic plates. Int J Eng Sci2005;
43: 321–339.
10.
PanEHeyligerPR.Exact solutions for magneto-electro-elastic laminates in cylindrical bending. Int J Solids Struct2003;
40: 6859–6876.
11.
VinyasM.On frequency response of porous functionally graded magneto-electro-elastic circular and annular plates with different electro-magnetic conditions using HSDT. Compos Struct2020;
240: 112044.
12.
EbrahimiFJafariAVinyasM.Assessment of porosity influence on dynamic characteristics of smart heterogeneous magneto-electro-elastic plates. Struct Eng Mech2019;
72: 875–891.
13.
LageRGSoaresCMMSoaresCAM, et al.
Layerwise partial mixed finite element analysis of magneto-electro-elastic plates. Comput Struct2004;
82: 1293–1301.
14.
MoitaJMSSoaresCMMSoaresCAM.Analyses of magneto-electro-elastic plates using a higher order finite element model. Compos Struct2009;
91: 421–426.
15.
HuangDJDingHJChenWQ.Static analysis of anisotropic functionally graded magneto-electro-elastic beams subjected to arbitrary loading. Eur J Mech – A/Solids2010;
29: 356–369.
16.
AlaimoABenedettiIMilazzoA.A finite element formulation for large deflection of multilayered magneto-electro-elastic plates. Compos Struct2014;
107: 643–653.
17.
17. MilazzoA.Layer-wise and equivalent single layer models for smart multilayered plates. Compos Part B: Eng2014;
67: 62–75.
18.
MilazzoA.Refined equivalent single layer formulations and finite elements for smart laminates free vibrations. Compos Part B: Eng2014;
61: 238–253.
19.
BenedettiIMilazzoA.Advanced models for smart multilayered plates based on Reissner mixed variational theorem. Compos Part B: Eng2017;
119: 215–229.
ShooshtariARazaviS.Large amplitude free vibration of symmetrically laminated magneto-electro-elastic rectangular plates on Pasternak type foundation. Mech Res Commun2015;
69: 103–113.
22.
ShooshtariARazaviS.Linear and nonlinear free vibration of a multilayered magneto-electro-elastic doubly-curved shell on elastic foundation. Compos Part B: Eng2015;
78: 95–108.
23.
MirjavadiSSYahyaYZForsatM, et al.
Magneto-electric effects on nonlocal nonlinear dynamic characteristics of imperfect multi-phase magneto-electro-elastic beams. J Magnet Magnet Mater2020;
503: 166649.
ChenWShioyaT.Piezothermoelastic behavior of a pyroelectric spherical shell. J Therm Stresses2001;
24: 105–120.
26.
SaadatfarMAghaie-KhafriM.On the behavior of a rotating functionally graded hybrid cylindrical shell with imperfect bonding subjected to hygrothermal condition. J Therm Stresses2015;
38: 854–881.
27.
KerurSBGhoshA.Geometrically non-linear bending analysis of piezoelectric fiber-reinforced composite (MFC/AFC) cross-ply plate under hygrothermal environment. J Therm Stresses2013;
36: 1255–1282.
28.
AltayGDokmeciMC.Some Hamiltonian-type variational principles for motions of a hygro-thermoelastic medium. J Therm Stresses2000;
23: 273–284.
29.
SunarMAl-GarniAZAliMH, et al.
Finite element modelling of thermopiezomagnetic smart structures. AIAA J2002;
40: 1845–1851.
30.
KumaravelAGanesanNSethuramanR.Steady-state analysis of a three-layered electro-magneto-elastic strip in a thermal environment. Smart Mater Struct2007;
16: 282–295.
31.
KondaiahPShankarKGanesanN.Studies on magneto-electro-elastic cantilever beam under thermal environment. Coupled Syst Mech2012;
1: 205–217.
32.
KondaiahPShankarKGanesanN.Pyroelectric and pyromagnetic effects on behaviour of magneto-electro-elastic plate. Coupled Syst Mech2013;
2: 1–22.
33.
KondaiahPShankarKGanesanN.Pyroelectric and pyromagnetic effects on multiphase magneto–electro–elastic cylindrical shells for axisymmetric temperature. Smart Mater Struct2013;
22: 025007.
34.
VinyasMKattimaniSC.Static studies of stepped functionally graded magneto-electro-elastic beam subjected to different thermal loads. Compos Struct2017;
163: 216–237.
35.
VinyasMKattimaniSC.A finite element based assessment of static behavior of multiphase magneto-electro-elastic beams under different thermal loading. Struct Eng Mech2017;
62: 519–535.
36.
VinyasMKattimaniSC.Static analysis of stepped functionally graded magneto-electro-elastic plates in thermal environment: a finite element study. Compos Struct2017;
178: 63–85.
37.
VinyasMKattimaniSC.Static behavior of thermally loaded multilayered magneto-electro-elastic beam. Struct Eng Mech2017;
63: 481–495.
38.
VinyasMKattimaniSC.Multiphysics response of magneto-electro-elastic beams in thermo-mechanical environment. Coupled Syst Mech2017;
6: 351–368.
39.
VinyasMKattimaniSC.Hygrothermal analysis of magneto-electro-elastic plate using 3D finite element analysis. Compos Struct2017;
180: 617–637.
40.
VinyasMKattimaniSCJoladarashiS.Hygrothermal coupling analysis of magneto-electro-elastic beams using finite element methods. J Therm Stresses2018;
41: 1063–1079.
41.
VinyasMKattimaniSCHarursampathD.Coupled evaluation of the free vibration characteristics of magneto-electro-elastic skew plates in hygrothermal environment. Smart Struct Syst2019;
24: 267–292.
42.
VinyasMKattimaniSC.Investigation of the effect of BaTiO3/CoFe2O4 particle arrangement on the static response of magneto-electro-thermo-elastic plates. Compos Struct2018;
185: 51–64.
43.
VinyasMKattimaniSCLojaMAR, et al.
Effect of BaTiO3/CoFe2O4micro-topological textures on the coupled static behaviour of magneto-electro-thermo-elastic beams indifferent thermal environment. Mater Res Express2018;
5: 125702.
44.
VinyasM.Interphase effect on the controlled frequency response of three-phase smart magneto-electro-elastic plates embedded with active constrained layer damping: FE study. Mater Res Express2020;
6: 125707.
45.
VinyasMSunnyKKHarursampathD, et al.
Influence of interphase on the multi-physics coupled frequency of three phase smart magneto-electro-elastic composite plates. Compos Struct2019;
226: 111254.
46.
VinyasMHarursampathDNguyen-ThoiT.Influence of active constrained layer damping on the coupled vibration response of functionally graded magneto-electro-elastic plates with skewed edges. Defence Technol. 2020; 16: 1019–1038. DOI: 10.1016/j.dt.2019.11.016.
47.
EbrahimiFBaratiMR.Vibration analysis of smart piezoelectrically actuated nanobeams subjected to magneto-electrical field in thermal environments. J Vibr Control2018;
24: 549–564.
48.
EbrahimiFBaratiMR.Temperature distribution effects on buckling behavior of smart heterogeneous nanosize plates based on nonlocal four-variable refined plate theory. Int J Smart Nano Mater2016;
7: 119–143.
49.
VinyasMPiyushJSKattimaniSC.Influence of coupled fields on free vibration and static behavior of functionally graded magneto-electro-thermo-elastic plate. J Intell Mater Syst Struct2018;
29: 1430–1455.
50.
BadriTMAl-KayiemHH.Analytical solution for simply supported and multilayered magneto-electro-elastic plates. Asian J Sci Res2013;
6: 236–244.
51.
EbrahimiFShafieiN.Influence of initial shear stress on the vibration behavior of single-layered graphene sheets embedded in an elastic medium based on Reddy's higher-order shear deformation plate theory. Mech Adv Mater Struct2017;
24: 761–772.
52.
VinyasM.A higher order free vibration analysis of carbon nanotube-reinforced magneto-electro-elastic plates using finite element methods. Compos Part B: Eng2019;
158: 286–301.
53.
VinyasMHarursampathDKattimaniSC.Thermal response analysis of multi-layered magneto-electro-thermo-elastic plates using reddy’s third order shear deformation theory. Struct Eng Mech2020;
73: 667–684.
54.
DucNDCongPHAnhVM, et al.
Mechanical and thermal stability of eccentrically stiffened functionally graded conical shell panels resting on elastic foundations and in thermal environment. J Compos Struct2015;
132: 597–609.
55.
DucNDCongPH.Nonlinear dynamic response and vibration of sandwich composite plates with negative Poisson’s ratio in auxetic honeycombs. J Sandw Struct Mater2018;
20: 692–717.
56.
DucNDQuanTQ.Nonlinear response of imperfect eccentrically stiffened FGM cylindrical panels on elastic foundation subjected to mechanical loads. Eur J Mech – A/Solids2014;
46: 60–71.
57.
DucNDTungHV.Mechanical and thermal postbuckling of shear deformable FGM plates with temperature-dependent properties. Mech Compos Mater2010;
46: 461–476.
DucNDKimS-EQuanTQ, et al.
Nonlinear buckling of eccentrically stiffened nanocomposite cylindrical panels in thermal environments. Thin Walled Struct2020;
146: 106428.
60.
DucNDTuanNDTranP, et al.
Nonlinear dynamic analysis of sigmoid functionally graded circular cylindrical shells on elastic foundations using the third order shear deformation theory in thermal environments. Int J Mech Sci2015;
101-102: 338–348.
61.
NguyenPDQuangVDAnhVTT, et al.
Nonlinear vibration of carbon nanotube reinforced composite truncated conical shells in thermal environment. Int J Str Stab Dyn2019;
19: 1950158.
62.
KhoaNDThiemHTDucND.Nonlinear buckling and postbuckling of imperfect piezoelectric S-FGM circular cylindrical shells with metal-ceramic-metal layers in thermal environment using Reddy’s third-order shear deformation shell theory. J Mech Adv Mater Struct2019;
26: 248–259.
63.
VinyasMHarursampathD.Nonlinear vibrations of magneto-electro-elastic doubly curved shells reinforced with carbon nanotubes. Compos Struct2020; 253: 112749.
64.
VinyasMHarursampathD.Nonlinear vibration of functionally graded magneto-electro-elastic higher order plates reinforced by CNTs using FEM. Eng Comput. Epub ahead of print 3 July 2020. DOI: 10.1007/s00366-020-01098-5.
65.
SitMRayCBiswasD. Thermal stress analysis of laminated composite plates using third order shear deformation theory. In: Matsagar V (ed.) Advances in structural engineering. New Delhi: Springer, 2015, pp.149–156.
