Asymptotical construction of a Reissner-like model for multilayer functionally graded magneto-electro-elastic plates

Yifeng, Zhong; Chen, Lei; Yu, Wenbin; Xiaopin, Zhou; Zhang, Liangliang

doi:10.1016/j.compstruct.2012.10.010

Cited by 19 publications

(4 citation statements)

References 22 publications

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“…In the case of piezoelectric or MEE materials, the models must accurately represent the complex interactions among the different fields. Several analytical, numerical and computational techniques have been developed for the study of systems involving attached or embedded piezoelectric and MEE elements [6][7][8][9][10][11][12][13][14][15][16][17][18][19]). The present work focuses of the modelling of smart composite plates with general lay-ups of MEE layers.…”

Section: Introductionmentioning

confidence: 99%

Advanced models for nonlocal magneto-electro-elastic multilayered plates based on Reissner mixed variational theorem

Milazzo

Benedetti

Gulizzi

2019

Mechanics of Advanced Materials and Structures

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In the present work, families of equivalent singe layer and layer-wise models for the static and free vibrations analysis of magneto-electro-elastic multilayered plates are developed. The models are defined in the framework of a unified formulation, which offers a systematic approach for generating refined plate theories through suitable expansions of the through-the-thickness components of the relevant fields, considering the expansion order as a free parameter. The key features of the developed formulation are: a) the condensation of the electric and magnetic description into the mechanical representation, based on the quasi-static electric-magnetic approximation, which allows to reduce the computation of the analysis for both layer-wise and equivalent single layer models; b) the employment of the Reissner Mixed Variational Theorem, in which the displacements and transverse stress components are used as primary variables, thus allowing the explicit fulfilment of the transverse stress interface equilibrium. The proposed methodology is assessed by generating different layer-wise and equivalent single layer models for the analysis of thick magneto-electroelastic layer and comparing their solution against available three-dimensional analytic results.

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Section: Introductionmentioning

confidence: 99%

Advanced models for nonlocal magneto-electro-elastic multilayered plates based on Reissner mixed variational theorem

Milazzo

Benedetti

Gulizzi

2019

Mechanics of Advanced Materials and Structures

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“…Functionally graded materials (FGMs) are described by a continuous material variation in desired directions, which can minimize or eliminate stress concentration. Recently, the studies concerning the structural behavior of FGMEE plates (Zhong et al, 2013; Zhou and Zhu, 2016), beams (Vinyas and Kattimani, 2017), hollow cylinder (Abbas and Zenkour, 2013), or shells (Zhang and Li, 2013) have gained attention of many researches.…”

Section: Introductionmentioning

confidence: 99%

Free vibration of porous FG magneto-electro-elastic microbeams in the hygrothermal environment based on differential transformation method

Zhang,

Li,

2023

Journal of Intelligent Material Systems and Structures

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Free vibration of the porous functionally graded magneto-electro-elastic (FGMEE) microbeams in hygrothermal environment is investigated. Four kinds of distributions of porosities including uniform porosity, “O,”“X,” and “V” type porosities are assumed in this paper. For the functionally graded microbeam, the physical neutral surface is considered. The modified couple stress theory is adopted to capture the size effect. The equations of motion for the porous FGMEE microbeam are derived and solved by differential transformation method. In the numerical examples, the effect of electric and magnetic loadings, material length scale parameter, the temperature rise, the moisture concentration, material gradient index, and porosity volume fraction on the natural frequency are analyzed and discussed in detail. The results indicate that different porous distribution modes have different effects on natural frequency. Moisture concentration/temperature rise can reduce the natural frequency regardless of what the temperature and moisture modes is. These results will be useful for the design of the porous FGMEE structures.

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“…Dai et al (2008) investigated static and dynamic responses of functionally graded and multilayered magnetoelectroelastic plate and pipe using the Hamilton's principle. Yifeng et al (2013) carried out the asymptotical construction of a Reissner-like model for the analysis of multilayer functionally graded magnetoelectroelastic plates. The Runge-Kutta method initially established for the ordinary differential equations was extended for partial differential equations by Houwen (1996), Pathria (1995), and Ramos and Vigo-Aguiar (2007), respectively.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional modeling of static deformation of arbitrary functionally graded multilayered multiferroic composites plates with weakly and highly conducting imperfect interfaces

Ngak

Ntamack

Azrar

2021

Journal of Intelligent Material Systems and Structures

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In this paper, a three-dimensional static deformation of arbitrary functionally graded multilayered multiferroic composites plates with weakly and highly conducting imperfect interfaces is derived. The magnetoelectroelastic properties of each layer of the composite plates have been assumed varying throughout the thickness direction. The imperfect interfaces between the layers are assumed to be mechanically compliant, dielectrically and magnetically weakly or highly conducting. In each layer, the state-space approach is firstly applied leading to space variable. Cauchy’s problem and adapted Runge-Kutta numerical procedure is used to solve the established state-space equation. The elaborated semi-analytical solution has been propagated throughout the multilayered multiferroic composites plates using the propagator matrix method and accounting the transfers matrices at each imperfect interface. The developed formulas have been programmed and the numerical obtained results have been well compared with available ones. For the computation process, the piezoelectric material [Formula: see text] and piezomagnetic material [Formula: see text] are used. In addition, these numerical tests showed that the proposed solution is in good agreement with the available 3D asymptotic approach, the modified Pagano method, the pseudo-Stroh formalism, the finite elements method and the Peano series solution. Furthermore, the effects of mechanically compliant, dielectrically and magnetically weakly or highly conducting imperfect interface on the static response and the magnetoelectric coupling coefficient of the functionally graded multilayered multiferroic composites plates for various configurations have been also analyzed. It has been carried out that, the bending response and the magnetoelectric coupling coefficient of the multiferroic composites plates remarkably depend on the kind of imperfect interface, the used sequences as well as on the loadings conditions namely mechanical, electric or magnetic, respectively.

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Asymptotical construction of a Reissner-like model for multilayer functionally graded magneto-electro-elastic plates

Cited by 19 publications

References 22 publications

Advanced models for nonlocal magneto-electro-elastic multilayered plates based on Reissner mixed variational theorem

Advanced models for nonlocal magneto-electro-elastic multilayered plates based on Reissner mixed variational theorem

Free vibration of porous FG magneto-electro-elastic microbeams in the hygrothermal environment based on differential transformation method

Three-dimensional modeling of static deformation of arbitrary functionally graded multilayered multiferroic composites plates with weakly and highly conducting imperfect interfaces

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