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Journal ArticleDOI

Finite element formulation using magnetic vector potential approach: effects of displacement current in magneto-electro-elastic cylindrical shells

01 Jan 2010-Smart Materials and Structures (IOP Publishing)-Vol. 19, Iss: 1, pp 015009
TL;DR: In this article, the harmonic response of a magneto-electro-elastic axisymmetric cylinder accounting for displacement current is carried out using the semi-analytical finite element method.
Abstract: Displacement current is associated with the generation of magnetic fields due to time-varying electric fields. The harmonic response of a magneto-electro-elastic axisymmetric cylinder accounting for displacement current is carried out using the semi-analytical finite element method. The non-conservative electric field is represented using a magnetic vector potential. Studies are carried out for the first circumferential harmonics of the shell structure with the clamped–free boundary condition. The contribution made to the magnetic flux density by the electric displacement current is very small at lower frequencies but it becomes significant at higher frequencies.
Citations
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Journal ArticleDOI
TL;DR: In this article, a new one-dimensional model for the dynamic problem of magneto-electro-elastic generally laminated beams is presented, where electric and magnetic fields are assumed to be quasi-static and a first-order shear beam theory is used.

47 citations

Journal ArticleDOI
TL;DR: In this paper, a framework based on finite element (FE) methods is proposed for predicting the influence of spatial arrangement of two phase Barium Titanate (BaTiO3) and Cobalt Ferric Oxide (CoFe2O4) particulate composites on the static response of magneto-electro-thermo-elastic (METE) plates.

37 citations

Journal ArticleDOI
TL;DR: In this paper, the scaling boundary finite element (SBFEM) was applied to the free vibration and transient dynamic problems of the composite magneto-electro-elastic (MEE) cylindrical shell.

25 citations

References
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Journal ArticleDOI
Jacob Aboudi1
TL;DR: In this paper, a homogenization micromechanical method is employed for the prediction of the effective moduli of electro-magneto-thermo-elastic composites.
Abstract: A homogenization micromechanical method is employed for the prediction of the effective moduli of electro-magneto-thermo-elastic composites. These include the effective elastic, piezoelectric, piezomagnetic, dielectric, magnetic permeability and electromagnetic coupling moduli, as well as the effective thermal expansion coefficients and the associated pyroelectric and pyromagnetic constants. Comparisons between the present homogenization theory, the generalized method of cells and the Mori-Tanaka predictions are given. Results are presented for fibrous and periodically bilaminated composites.

326 citations

Journal ArticleDOI
TL;DR: In this paper, the plane strain dynamic problem of a magneto-electro-elastic hollow cylinder is reduced to two integral equations of two time functions, and by means of the interpolation method, the integral equations are solved successfully.
Abstract: By virtue of the separation of variables and orthogonal expansion technique, the plane strain dynamic problem of a magneto-electro-elastic hollow cylinder is reduced to two integral equations of two time functions. Then, by means of the interpolation method, the integral equations are solved successfully. As a result, all the transient responses of displacements, stresses, electric potentials, electric displacements, magnetic potentials and magnetic inductions are completely obtained. The present method is suitable for the analysis of hollow cylinders with arbitrary thickness and subjected to arbitrary mechanical and electromagnetic loads. Numerical results are also presented.

99 citations

Journal ArticleDOI
TL;DR: In this paper, a thermopiezomagnetic medium can be formed by bonding together a piezoelectric and magnetostrictive composite with the aid of a thermodynamic potential.
Abstract: Linearconstitutiveequationsofa thermopiezomagneticmedium involving mechanical, electrical, magnetic, and thermal e elds are presented with the aid of a thermodynamic potential. A thermopiezomagnetic medium can be formed by bonding together a piezoelectric and magnetostrictive composite. Two energy functionals are dee ned. It is shown via Hamilton’ s principle that these functionals yield the equations of motion for the mechanical e eld, Maxwell’ s equilibrium equations for the electrical and magnetic e elds, and the generalized heat equation for the thermal e eld. Finite element equations for the thermopiezomagnetic media are obtained by using the linear constitutive equations in Hamilton’ s principle together with the e nite element approximations. The e nite element equations are utilized on an example two-layer smartstructure, which consistsof a piezoceramic (barium titanate ) layer at the bottom and a magnetoceramic (cobalt ferrite ) layer at the top. An electrostatic e eld applied to the piezoceramic layer causes strain in the structure. This strain then produces magnetic e eld in the magnetoceramic layer.

79 citations

Journal ArticleDOI
X. Wang1, Z. Zhong1
TL;DR: In this paper, the problem of a finitely long circular cylindrical shell of cylindrically orthotropic piezoelectric/piezomagnetic composite under pressuring loading and a uniform temperature change is analytically investigated in detail.

58 citations

Journal ArticleDOI
TL;DR: The free vibrations of simply supported magneto-electro-elastic cylindrical shells are studied in this article, where a series solution is assumed in the circumferential and axial directions of the shell to preserve the three-dimensional character of the structure.
Abstract: The free vibrations of simply supported magneto-electro-elastic cylindrical shells are studied. A series solution is assumed in the circumferential and axial directions of the shell to preserve the three-dimensional character of the structure. The constitutive equations of the magneto-electro-elastic medium involving mechanical, electrical and magnetic fields are used to derive the finite element model for the system. The influence of the piezomagnetic effect on the structural frequencies of the cylindrical shell is studied. A comparison is made between a shell with a layered configuration and one with a multiphase system. The study is carried out for a typical shell with simply supported boundary conditions for different ratios of length to radius and radius to thickness to analyse the frequency behaviour.

55 citations