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 article, the free vibration characteristics of smart shear deformable plates made of porous magneto-electro-elastic functionally graded (MEE-FG) materials are investigated considering various boundary conditions by using an analytical method for the first time.
Abstract: In this paper, the free vibration characteristics of smart shear deformable plates made of porous magneto-electro-elastic functionally graded (MEE-FG) materials are investigated considering various boundary conditions by using an analytical method for the first time. Porosities possibly occur inside functionally graded materials (FGMs) during fabrication because of technical problems that lead to creation of micro-voids in these materials. Magneto-electro-elastic properties of FGM plate are supposed to vary through the thickness direction according to a modified power-law model in which the porosities with even and uneven distributions are approximated. The governing differential equations of porous FGM plate under magneto-electrical field are formulated through Hamilton’s principle based on a four-variable tangential-exponential refined theory which avoids the use of shear correction factors. Influences of several important parameters such as material graduation exponent, porosity volume fraction, magnetic potential, electric voltage, various boundary conditions and plate side-to-thickness ratio on natural frequencies of the porous MEE-FG plate are investigated and discussed in detail. It is concluded that these parameters play significant roles on the dynamic behavior of porous MEE-FG plates. Presented numerical results can serve as benchmarks for future analyses of MEE-FG plates with porosity phases.
48 citations
TL;DR: In this article, the size-dependent and porosity-dependent vibrational behavior of magneto-electro-elastic functionally graded (MEE-FG) nanoscale beams on two-parameter elastic substrate is presented via a third-order shear deformation beam model.
45 citations
TL;DR: In this paper, free vibration characteristics of size-dependent smart nanoplates made of magneto-electro-elastic functionally graded (MEE-FG) materials under different boundary conditions were investigated.
Abstract: This article studies free vibration characteristics of size-dependent smart nanoplates made of magneto-electro-elastic functionally graded (MEE-FG) materials under different boundary conditions by implementing an analytical method for the first time. Magneto-electro-elastic properties of nanoplate vary through the thickness direction according to power–law model. The nonlocal governing equations of FG plate under magneto-electrical field are formulated through Hamilton’s principle and nonlocal elasticity theory of Eringen based on a four-variable refined plate theory which avoids the use of shear correction factors by capturing shear deformation influences. Importance of various parameters including magnetic potential, electric voltage, various boundary conditions, nonlocality, material composition and plate side-to-thickness ratio on natural frequencies of the MEE-FG nanoplate is explored. It is elucidated that these parameters play significant roles on the dynamic behavior of MEE-FG nanoplates.
33 citations
TL;DR: In this paper, the free vibration behavior of circular and annular magneto-electro-elastic plates has been investigated under the framework of higher order shear deformation theory.
Abstract: In this article, the free vibration behaviour of circular and annular magneto-electro-elastic plates has been investigated under the framework of higher order shear deformation theory. The three-di...
32 citations
Cites background from "Buckling and Vibration Analysis of ..."
...from free vibration analysis, many pioneers have attempted to discover the mechanical response of the MEE structures, which includes the static deformation (Pan and Heyliger, 2003; Vinyas and Kattimani, 2017a, 2017b, 2017c, 2017d, 2017e) and buckling analysis (Kumaravel et al., 2007; Lang and Xuewu, 2013; Li, 2014)....
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...…analysis, many pioneers have attempted to discover the mechanical response of the MEE structures, which includes the static deformation (Pan and Heyliger, 2003; Vinyas and Kattimani, 2017a, 2017b, 2017c, 2017d, 2017e) and buckling analysis (Kumaravel et al., 2007; Lang and Xuewu, 2013; Li, 2014)....
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TL;DR: In this article, a higher order shear beam theory in conjunction with von Karman type of kinematic nonlinearity is considered in the beam model, and numerical calculations are performed to investigate the nonlinear vibration, nonlinear bending, and magneto-electric potential distributions through the thickness of the beam in different thermal environmental conditions.
28 citations
References
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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.
191 citations
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