Evaluation of effective material properties in magneto-electro-elastic composite materials

Sládek, J.; Sládek, V.; Repka, Miroslav�; Kasala, Jozef; Bishay, Peter L.

doi:10.1016/j.compstruct.2017.03.104

Cited by 25 publications

(10 citation statements)

References 34 publications

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“…Recently, the mixed FEM has been developed for considered electro-elasticity problem [32]. The Meshless Local Petrov-Galerkin method (MLPG) with the Moving Least-square (MLS) approximation is convenient approach for problems with higher order derivatives, since the order of continuity can be tuned to a desired value [22][23][24].…”

Section: The Mlpg Formulationmentioning

confidence: 99%

See 1 more Smart Citation

The Meshless Analysis of Scale Dependent Problems for Coupled Fields

Sládek¹,

Sládek²,

Wen³

2020

Preprint

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The meshless Petrov-Galerkin (MLPG) method is developed to analyse 2-D problems for flexoelectricity and thermoelectricity. Both problems are multiphysical and scale dependent. The size-effect is considered by the strain- and electric field-gradients in the flexoelecricity and higher-grade heat flux in the thermoelectricity. The variational principle is applied to de-rive the governing equations considered constitutive equations. The order of derivatives in governing equations is higher than in equations obtained from classical theory. The coupled governing partial differential equations (PDE) are satisfied in a local weak-form on small fic-titious subdomains with a simple test function. Physical fields are approximated by the mov-ing least-squares (MLS) scheme. Applying the spatial approximations in local integral equa-tions a system of algebraic is obtained for the nodal unknowns.

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Section: The Mlpg Formulationmentioning

confidence: 99%

“…It is more convenient to develop the mixed formulation in the finite element method (FEM) [20,21]. The order of continuity of the Moving Least-square (MLS) approximation in the Meshless Local Petrov-Galerkin method (MLPG) can be tuned to a desired value very easily [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

The Meshless Analysis of Scale Dependent Problems for Coupled Fields

Sládek¹,

Sládek²,

Wen³

2020

Preprint

Self Cite

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“…Similarly, Ψ and Σ are (12 × 1) matrixes. 16 The constitutive equation (1) for transversely isotropic material can be written in the matrix form 31,32 …”

Section: Analysis and Model Developmentmentioning

confidence: 99%

Fully coupled thermo-magneto-electro-elastic properties of unidirectional smart composites with a piezoelectric interphase

Haghgoo

Ansari

Hassanzadeh-Aghdam

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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In the present study, the effect of PZT-5A piezoelectric interphase on the effective thermo-magneto-electro-elastic properties of CoFe2O4 piezomagnetic matrix composites reinforced with carbon fibers is investigated. In this type of three-phase smart composite, the unidirectional fiber is coated with the piezoelectric shell. To this end, the fully coupled thermo-magneto-electro-elastic constitutive relations are developed for a unit cell-based micromechanical model in conjunction with a proper representative volume element. The influences of piezoelectric interphase thickness on the effective properties of the unidirectional smart composite are extensively investigated at different carbon fiber volume fractions up to 70%. The results demonstrate that piezoelectric interphase can greatly affect the overall thermo-magneto-electro-elastic properties of the smart composites. For two-phase smart composites, the present predictions are found to be in close proximity with the Mori–Tanaka results, which validates the present model.

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“…A magneto-electro-elastic composite material is a type of functional composite composed of a piezoelectric phase and piezomagnetic phase. It has a good magneto-electro-elastic coupling effect and can realize the mutual conversion of mechanical energy, electric energy, and magnetic energy, so is widely used in modern industry [1][2][3][4][5][6]. For piezoelectric-piezomagnetic composites, many defects, such as dislocations, cracks, holes, and inclusions, are easily produced in the process of fabrication and application, which seriously affect the performance and the service life of these piezoelectric devices and structures.…”

Section: Introductionmentioning

confidence: 99%

Interaction between a generalized screw dislocation in the matrix and an inhomogeneity containing an elliptic hole in piezoelectric–piezomagnetic composite materials

Peng

Yang

2019

Mathematics and Mechanics of Solids

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The paper deals with the interaction of a generalized screw dislocation and an elliptic inhomogeneity containing a confocal elliptic hole in a magneto-electro-elastic composite material. Exact solutions are derived for the case where the generalized screw dislocation is located in the matrix under a remote anti-plane shear stress field, an in-plane electric field, and a magnetic field. Based on the complex variable method, the complex potentials of both the matrix and the inhomogeneity are obtained in series, and analytic expressions for the generalized stress and strain field, the image force, the generalized stress intensity factor of the blunt crack tip, and the energy release rate are derived explicitly. The presented solutions include some previous solutions, such as pure elastic, piezoelectric, piezomagnetic, and circular inclusions. Typical numerical examples are presented and the influences of the dislocation position, the volume of inhomogeneity, and the elliptic hole on these physical quantities are discussed. The results show that the magneto-electro-elastic coupling effect has a great influence on the image force and the equilibrium position of dislocation, especially when the dislocation approaches the interface; the coupling effect makes the image force on the screw dislocation follow different variation laws in piezoelectric–piezomagnetic composite materials compared with elastic materials.

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Evaluation of effective material properties in magneto-electro-elastic composite materials

Cited by 25 publications

References 34 publications

The Meshless Analysis of Scale Dependent Problems for Coupled Fields

The Meshless Analysis of Scale Dependent Problems for Coupled Fields

Fully coupled thermo-magneto-electro-elastic properties of unidirectional smart composites with a piezoelectric interphase

Interaction between a generalized screw dislocation in the matrix and an inhomogeneity containing an elliptic hole in piezoelectric–piezomagnetic composite materials

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