Effect of Displacement Current in Magneto-Electro-Elastic 3D Beam Subjected to Dynamic Loading
30 Jan 2013-Mechanics of Advanced Materials and Structures (Taylor & Francis Group)-Vol. 20, Iss: 3, pp 189-198
TL;DR: In this paper, the non-conservative electric field is represented using a magnetic vector potential, and the magnetic flux density in axial direction is not affected by the electric displacement current.
Abstract: Dynamic loading will generate time varying electric and magnetic fields in magneto-electro-elastic continuum. Displacement current is associated with the generation of magnetic field due to time varying electric field. The non-conservative electric field is represented using a magnetic vector potential. Studies are carried out for clamped-free and clamped-clamped boundary conditions of the structure excited with harmonic mechanical loading. The magnetic flux density in axial direction is not affected by the electric displacement current. The transverse y-direction and z-direction components of magnetic flux density are showing significant variation at higher frequencies when displacement current is accounted.
Citations
More filters
TL;DR: The present study is in no ways exhaustive to the methods and results observed, but it may be considered as a guide to researchers and scholars about the behavior of MEE materials, wherein critical observations and analyses’ techniques are discussed.
Abstract: Magneto-electro-elastic (MEE) materials have been receiving a special attention from the research community owing to their specialized performance and coupled behavior under thermal, electric, magnetic and mechanical loads. The possibility of prospective energy conversion means, have additionally been added to the cause of researching about these materials. Therefore, the review presented here may be considered as a topical discussion on MEE materials and structures. Through this paper, all critical concepts revolving around MEE materials are discussed in separate sections ranging from the very definition of MEE materials, their material phenomenon, types and properties, to certain fundamental theories and micromechanical models, structural analyses of MEE structures and their nano-sized counterparts, effects of various external and internal parameters and prospective applications of these materials. The present study is in no ways exhaustive to the methods and results observed, but it may be considered as a guide to researchers and scholars about the behavior of MEE materials, wherein critical observations and analyses’ techniques are discussed.
56 citations
References
More filters
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
Additional excerpts
...4 [7, 8] Elastic constants Magnetic permeability C11 = C22 225 11 = 22 −2....
[...]
TL;DR: In this paper, the authors evaluated the properties of piezoelectric BaTiO 3 barium titanate as the embedded material with magnetostrictive CoFe 2 O 4 cobalt iron oxide as the matrix material.
Abstract: Several researchers have focused on developing material properties for homogeneous magneto-electro-elastic multiphase composite materials. The candidate materials for this study are piezoelectric BaTiO 3 barium titanate as the embedded material with magnetostrictive CoFe 2 O 4 cobalt iron oxide as the matrix material. The materials are evaluated in terms of modeling the physical problem of the free vibration an infinite plate. Multiphase material properties vary depending upon the ratio of fiber material to matrix material. Actual electromagnetic materials are modeled as layered materials with the ratio of constituent materials being controlled by varying the number and thickness of layers of each material. Frequencies of vibration are compared for the layered materials versus the multiphase materials as a measure of the accurateness of the derived material constants. Multiphase material predictions for frequency agree quite well with layered materials for the problem that is studied.
122 citations
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
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
"Effect of Displacement Current in M..." refers background or methods in this paper
...Bm, exhibiting linear coupling between magnetic, electric, and elastic field can be written as [5]: j = CjkSk − e jm Em − d jm Bm, (1....
[...]
...[5] has presented finite element modeling of a fully coupled thermopiezomagnetic medium using a thermodynamic potential....
[...]
...[5] have given a general formulation for MEE medium....
[...]
...Differential Equation for Magneto-Electro-Elastic Medium The energy functional neglecting surface tractions can be written as [5]: = ∫ v Gdv − ∫ v uT Pbdv + ∫ v vdv − ∫ v AT Jdv, (3) where u, , A are mechanical displacement, electric scalar potential, and magnetic vector potential, respectively....
[...]
TL;DR: By means of the two-dimensional basic equations of transversely isotropic magneto-electro-elastic media and the strict differential operator theorem, the general solution in the case of distinct eigenvalues is derived, in which all mechanical, electric and magnetic quantities are expressed in four harmonic displacement functions as discussed by the authors.
Abstract: By means of the two-dimensional basic equations of transversely isotropic magneto-electro-elastic media and the strict differential operator theorem, the general solution in the case of distinct eigenvalues is derived, in which all mechanical, electric and magnetic quantities are expressed in four harmonic displacement functions. Based on this general solution in the case of distinct eigenvalues, a series of problems is solved by the trial-and-error method, including magneto-electro-elastic rectangular beam under uniform tension, electric displacement and magnetic induction, pure shearing and pure bending, cantilever beam with point force, point charge or point current at free end, and cantilever beam subjected to uniformly distributed loads. Analytical solutions to various problems are obtained.
60 citations
"Effect of Displacement Current in M..." refers methods in this paper
...Analytical solutions to magneto-electro-elastic cantilever beam under uniformly distributed load presented by Jiang and Ding [9] are compared with results obtained by a threedimensional finite element formulation using the magnetic scalar potential approach and is shown in Table 2....
[...]
...Comparison of analytical solution using plane stress assumption with 3D finite element results Reference point Electric potential [9] Electric potential (present 3D) Magnetic potential [9] Magnetic potential (present 3D with magnetic scalar approach) (0....
[...]
...[9] A. Jiang, and H. Ding, Analytical solutions to magneto-electroelastic beams, Struc....
[...]