Magnetic Scalar and Vector Potential Approaches in Dynamic Response Studies of Magneto-Electro-Elastic Plates
TL;DR: Magnetic scalar and vector potential approaches in finite element formulation for dynamic response studies of magneto-electro-elastic solids are presented in this paper, where electric field induced by time varying magnetic field is non-conservative and can be described by electric scalar potential and magnetic vector potential.
Abstract: Magnetic scalar and vector potential approaches in finite element formulation for dynamic response studies of magneto-electro-elastic solids is presented in this paper. The electric field induced by time varying magnetic field is non-conservative and can be described by electric scalar potential and magnetic vector potential. The magnitude of magnetic vector potential is dominant in transverse direction than in longitudinal directions except for FCFC boundary condition. Magnetic scalar potential approach evaluates the components of magnetic flux density on higher side where as electric field intensity is seldom influenced using both the approaches except for FCFC boundary condition.
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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
References
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TL;DR: In this paper, the dispersion equation that characterizes the relationship between the natural frequency and the wavenumber can be obtained in a simple form for multilayered rectangular plates, and the present solution includes all previous solutions, such as piezoelectric, piezomagnetic and purely elastic solutions as special cases.
349 citations
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
TL;DR: In this paper, the steady-state vibrations of a simply-supported rectangular linear elastic laminated plate with embedded PZT layers are analyzed using the three-dimensional linear theory of elasticity.
109 citations
"Magnetic Scalar and Vector Potentia..." refers methods in this paper
...[1] has used three dimensional linear theory of elasticity to analyze the steady state vibration of a simply supported rectangular linear elastic laminated plate with embedded PZT layers and concluded that the first six natural frequencies show small variation compared with thin plate theory results....
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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
"Magnetic Scalar and Vector Potentia..." refers methods in this paper
...[6] have made finite element modeling of a fully coupled thermopiezomagnetic medium using a thermodynamic potential....
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24 Feb 2009
TL;DR: The use of reduced magnetic vector potential (RMVP) in the three-dimensional finite element analysis of eddy current nondestructive testing has demonstrated great flexibility, accuracy, and efficiency in case of coil excitation as mentioned in this paper.
Abstract: The use of reduced magnetic vector potential (RMVP) in the three-dimensional finite element analysis of eddy current nondestructive testing (ECT) has demonstrated great flexibility, accuracy, and efficiency in case of coil excitation. This paper investigates the application of the RMVP in another class of eddy-current testing applications where the test sample of finite size is immersed in a uniform excitation field. The paper also shows that RMVP cannot be used in eddy-current testing problems having infinite current foil and infinite conducting plates.
63 citations
Additional excerpts
...[7] have used reduced vector potential formulation in which the magnetic vector potential is decomposed into potential due to source current and potential due to induced current....
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