Buckling and Vibration Analysis of Layered and Multiphase Magneto‐Electro‐Elastic Beam Under Thermal Environment
01 Apr 2007-Multidiscipline Modeling in Materials and Structures (Emerald Group Publishing Limited)-Vol. 3, Iss: 4, pp 461-476
TL;DR: In this paper, the authors investigated the linear buckling and free vibration behavior of layered and multiphase magneto-electro-elastic (MEE) beam under thermal environment and derived finite element equations involving the coupling between mechanical, electrical and magnetic fields.
Abstract: The paper deals with the investigation of linear buckling and free vibration behavior of layered and multiphase magneto‐electro‐elastic (MEE) beam under thermal environment. The constitutive equations of magneto‐electro‐elastic materials are used to derive finite element equations involving the coupling between mechanical, electrical and magnetic fields. The finite element model has been verified with the commercial finite element package ANSYS. The influence of magneto electric coupling on critical buckling temperature is investigated between layered and multiphase magneto‐electro‐elastic beam. Furthermore, the influence of temperature rise on natural frequencies of magneto‐electro‐elastic beam with layered and different volume fraction is presented.
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TL;DR: In this paper, exact solutions for three-dimensional, anisotropic, linearly magneto-electroelastic, simply-supported, and multilayered rectangular plates under static loadings are derived.
Abstract: Exact solutions are derived for three-dimensional, anisotropic, linearly magneto-electroelastic, simply-supported, and multilayered rectangular plates under static loadings. While the homogeneous solutions are obtained in terms of a new and simple formalism that resemble the Stroh formalism, solutions for multilayered plates are expressed in terms of the propagator matrix. The present solutions include all the previous solutions, such as piezoelectric, piezomagnetic, purely elastic solutions, as special cases, and can therefore serve as benchmarks to check various thick plate theories and numerical methods used for the modeling of layered composite structures. Typical numerical examples are presented and discussed for layered piezoelectric/piezomagnetic plates under surface and internal loads.
584 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 article, an approximate solution for the free vibration problem of two-dimensional magneto-electro-elastic laminates is presented to determine their fundamental behavior, which is composed of linear homogeneous elastic, piezoelectric, or magnetostrictive layers with perfect bonding between each interface.
244 citations
TL;DR: In this paper, two independent state equations for transversely isotropic magneto-electro-elastic media by introducing proper stress and displacement functions are established for free vibration problem of simply supported rectangular plates with general inhomogeneous material properties along the thickness direction.
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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