Layerwise partial mixed finite element analysis of magneto-electro-elastic plates

Lage, R. Garcia; Soares, Carlos A. Mota; Reddy, J. N.

doi:10.1016/j.compstruc.2004.03.026

Cited by 147 publications

(30 citation statements)

References 21 publications

(21 reference statements)

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“…This form of RMVT is herein referred to as the partial form, or P-RMVT. RMVT has also been applied in [Garcia Lage et al 2004a] to develop LW piezoelectric plate elements in the static case. The transverse component of electric displacement Ᏸ z was considered as an assumed variable.…”

Section: Introductionmentioning

confidence: 99%

Mixed piezoelectric plate elements with continuous transverse electric displacements

Carrera

Fagiano

2007

JOMMS

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This paper proposes mixed finite elements, FEs, with an a priori continuous transverse electric displacement component Ᏸ z . The Reissner Mixed Variational Theorem (RMVT) and the Unified Formulation (UF) are applied to the analysis of multilayered anisotropic plates with embedded piezoelectric layers. Two forms of RMVT are compared. In a first, partial, form (P-RMVT), the field variables are displacements u, electric potential Φ and transverse stresses σ n . The second, full, form (F-RMVT) adds Ᏸ z as an independent variable. F-RMVT allows the a priori and complete fulfillment of interlaminar continuity of both mechanical and electrical variables.We treat both equivalent single-layer models (ESLM), where the number of variables is kept independent of the number of layers, an layerwise models (LWM), in which the number of variables depends in each layer. According to the UF the order N of the expansions assumed for the u, φ, σ n and Ᏸ z fields in the plate thickness direction z as well as the number of the element nodes N n have been taken as free parameters.In most cases the results of the classical formulation which are based on Principle of Virtual Displacements (PVD) are given for comparison purposes. The superiority of the F-RMVT results, with respect to the P-RMVT and to PVD ones, is shown by few examples for which three-dimensional solution is available. In particular, the F-RMVT results to be very effective for the evaluation of interlaminar continuous Ᏸ z fields.

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Section: Introductionmentioning

confidence: 99%

Mixed piezoelectric plate elements with continuous transverse electric displacements

Carrera

Fagiano

2007

JOMMS

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“…This model allows to obtain in static analysis the through-thickness distributions of primary variables-mechanical displacements, electric potentials and magnetic potentials-as well as for electric displacements and magnetic inductions. Some results were compared with those obtained by Lage et al [4] that use a partial mixed layerwise finite element model, and good agreement is found. It should be observed that the layerwise theory allows to the cross-thickness variation of the transversal displacement w, and the corresponding strain z z ε , which is relevant in the stresses results, but essentially in the electric and magnetic potentials as well in electric displacement and magnetic induction.…”

Section: Discussionmentioning

confidence: 94%

“…The present crossthickness distribution of in-plane displacement u evaluated at the same node is shown in Fig. 1, where is compared with results from Lage et al [4]. …”

Section: Static Analysismentioning

confidence: 93%

“…The results shown here are obtained for the node of coordinates x=0.75 m, y=0.25 m (displacements), or for the gauss point nearest of this node (stresses) or for the element that contains this gauss point (electric potential, magnetic potential, electric displacement and magnetic induction). A transverse displacement w= 5.40 x 10 -1 2 m was obtained at mentioned node, while Lage et al [4], that uses a partial mixed layerwise finite element model, and w is a cross-thickness variable, it take values 5.39 x 10 . The present crossthickness distribution of in-plane displacement u evaluated at the same node is shown in Fig.…”

Section: Static Analysismentioning

confidence: 99%

“…Wang et al [3] developed a mixed analytical solution for magneto-electro-elastic plates. Lage et al [4,5] developed a partial mixed layerwise finite element model for the static and free vibration analysis of magneto-electro-elastic laminated plate structures. Chen et al [6] developed an analytical solution for free vibration problem of simply supported rectangular plates with general inhomogeneous material properties along the thickness direction.…”

Section: Introductionmentioning

confidence: 99%

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Higher Order Model for Analysis of Magneto-Electro-Elastic Plates

Moita

Soares²

III European Conference on Computational Mechanics

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Abstract. In this paper is presented an higher-order model for static and free vibration analyses of magneto-electro-elastic plates, which allows the analysis of thin and thick plates. The finite element model is a single layer triangular plate/shell element with 24 degrees of freedom for the generalized mechanical displacements. Two degrees of freedom are introduced per each element layer, one corresponding to the electrical potential and the other for magnetic potential. Solutions are obtained for different laminations of the magneto-electroelastic plate, as well as for the purely elastic plate as a special case.

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Current Detection and Energy Harvesting Integrated Magnetoelectric Sensor with Flexibility and Heat Resistance Based on Polylactide/VB₂ Composites and FeCoV

Ling

Zhang

et al. 2022

Adv Materials Inter

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contact sensors, such as current shunts, exist safety risk due to lacking of electrical isolation. The contactless sensors are isolated from the primary current, which gives them the advantages of high insulation safety and convenient measurement. Thus, they attract numerous research attentions in recent decades. Typical contactless current sensors include current transformers, optical current sensors, Hall sensors and magnetoresistive sensors. [3][4][5]

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Layerwise partial mixed finite element analysis of magneto-electro-elastic plates

Cited by 147 publications

References 21 publications

Mixed piezoelectric plate elements with continuous transverse electric displacements

Mixed piezoelectric plate elements with continuous transverse electric displacements

Higher Order Model for Analysis of Magneto-Electro-Elastic Plates

Current Detection and Energy Harvesting Integrated Magnetoelectric Sensor with Flexibility and Heat Resistance Based on Polylactide/VB₂ Composites and FeCoV

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Layerwise partial mixed finite element analysis of magneto-electro-elastic plates

Cited by 147 publications

References 21 publications

Mixed piezoelectric plate elements with continuous transverse electric displacements

Mixed piezoelectric plate elements with continuous transverse electric displacements

Higher Order Model for Analysis of Magneto-Electro-Elastic Plates

Current Detection and Energy Harvesting Integrated Magnetoelectric Sensor with Flexibility and Heat Resistance Based on Polylactide/VB2 Composites and FeCoV

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Product

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Current Detection and Energy Harvesting Integrated Magnetoelectric Sensor with Flexibility and Heat Resistance Based on Polylactide/VB₂ Composites and FeCoV