2.5 Multi-physics Coupled Modeling
19
Including geometrical nonlinearity, von Kármán type nonlinear models coupled
with thermal effects were developed based on Timoshenko beam theory [200] and
Reddy’s higher-order theory[127]. A Sanders nonlinear model based on classical
shell theory was proposed for snap-through buckling analysis of functionally graded
structures with thermally coupled [201].
2.5.3 Magneto-Electro-Elastic Composites
Magneto-electro-elastic structures are also known as MEE structures, which couple with electric, magnetic and elastic fields. MEE structures are capable of energy
conversion among the forms of magnetic, electric and elastic. Vinyas and Kattimani [202] developed a 3D FE model for hygrothermal analysis of MEE plate, while
Yang et al. [203] studied a similar model for natural characteristic analysis. Additionally, numerical models based on Donnell theory [204] or a four-variable shear
deformation refined plate theory [205] were developed for MEE plates.
In the application of piezoelectric-piezomagnetic functionally graded materials
with a gradual change of the mechanical and electromagnetic properties, Ezzin et
al. [206] proposed a dynamic solution based on the ordinary differential equation and
stiffness matrix methods for the propagation of waves on a structure covered with a
functionally graded piezoelectric material layer. For structures undergoing large displacements, von Kármán type nonlinear models were developed based on the FOSD
hypothesis [207] and first-order zigzag hypothesis [208] for MEE sandwich plate.
Furthermore, a geometrically nonlinear model, a nonlocal strain gradient shell model,
was developed for buckling and postbuckling analysis of MEE composites [209].
2.5.4 Aero-Electro-Elastic Coupled Modeling
One of the most important applications of smart structures is flutter control of aircraft
panels, in which fluid-solid interaction is the basic feature of the problems. Taking
into account fluid, electric and elastic coupled fields, Wang et al. [210], Song and
Li [211], Li [212] developed linear aero-electro-elastic models of piezoelectric plates
for flutter suppression under supersonic air flows. Considering more physical field,
like thermal field, Mohammadimehr and Mehrabi [213], Song et al. [214] developed
aero-electro-thermo-elastic coupled FE models for vibration and flutter analysis of
supersonic piezoelectric composite plate.
19
Including geometrical nonlinearity, von Kármán type nonlinear models coupled
with thermal effects were developed based on Timoshenko beam theory [200] and
Reddy’s higher-order theory[127]. A Sanders nonlinear model based on classical
shell theory was proposed for snap-through buckling analysis of functionally graded
structures with thermally coupled [201].
2.5.3 Magneto-Electro-Elastic Composites
Magneto-electro-elastic structures are also known as MEE structures, which couple with electric, magnetic and elastic fields. MEE structures are capable of energy
conversion among the forms of magnetic, electric and elastic. Vinyas and Kattimani [202] developed a 3D FE model for hygrothermal analysis of MEE plate, while
Yang et al. [203] studied a similar model for natural characteristic analysis. Additionally, numerical models based on Donnell theory [204] or a four-variable shear
deformation refined plate theory [205] were developed for MEE plates.
In the application of piezoelectric-piezomagnetic functionally graded materials
with a gradual change of the mechanical and electromagnetic properties, Ezzin et
al. [206] proposed a dynamic solution based on the ordinary differential equation and
stiffness matrix methods for the propagation of waves on a structure covered with a
functionally graded piezoelectric material layer. For structures undergoing large displacements, von Kármán type nonlinear models were developed based on the FOSD
hypothesis [207] and first-order zigzag hypothesis [208] for MEE sandwich plate.
Furthermore, a geometrically nonlinear model, a nonlocal strain gradient shell model,
was developed for buckling and postbuckling analysis of MEE composites [209].
2.5.4 Aero-Electro-Elastic Coupled Modeling
One of the most important applications of smart structures is flutter control of aircraft
panels, in which fluid-solid interaction is the basic feature of the problems. Taking
into account fluid, electric and elastic coupled fields, Wang et al. [210], Song and
Li [211], Li [212] developed linear aero-electro-elastic models of piezoelectric plates
for flutter suppression under supersonic air flows. Considering more physical field,
like thermal field, Mohammadimehr and Mehrabi [213], Song et al. [214] developed
aero-electro-thermo-elastic coupled FE models for vibration and flutter analysis of
supersonic piezoelectric composite plate.