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Journal ArticleDOI

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.
Citations
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Journal ArticleDOI
TL;DR: In this paper, a nonlocal geometrically nonlinear beam model is developed for magneto-electro-thermo-elastic (METE) nanobeams subjected to external electric voltage, external magnetic potential and uniform temperature rise.

136 citations

Journal ArticleDOI
TL;DR: In this paper, the free vibration behavior of magneto-electro-thermo-elastic functionally graded nanobeams is investigated based on a higher order shear deformation beam theory.
Abstract: In this article, free vibration behavior of magneto–electro–thermo-elastic functionally graded nanobeams is investigated based on a higher order shear deformation beam theory. Four types of thermal loading including uniform and linear temperature change as well as heat conduction and sinusoidal temperature rise through the thickness are assumed. Magneto–electro–thermo-elastic properties of FG nanobeam are supposed to change continuously throughout the thickness based on power-law model. Via nonlocal elasticity theory of Eringen, the small size effects are adopted. Based upon Hamilton’s principle, the coupled nonlocal governing equations for higher order shear deformable METE-FG nanobeams are obtained and they are solved applying analytical solution. It is shown that the vibrational behavior of METE-FG nanobeams is significantly affected by various temperature rises, magnetic potential, external electric voltage, power-law index, nonlocal parameter and slenderness ratio.

134 citations

Journal ArticleDOI
TL;DR: In this paper, the thermal buckling of nonlocal magneto-electro-thermo-elastic functionally graded (METE-FG) beams under various types of thermal loading namely uniform, linear and sinusoidal temperature rise and also heat conduction is examined.
Abstract: The present paper examines the thermal buckling of nonlocal magneto-electro-thermo-elastic functionally graded (METE-FG) beams under various types of thermal loading namely uniform, linear and sinusoidal temperature rise and also heat conduction. The material properties of nanobeam are graded in the thickness direction according to the power-law distribution. Based on a higher order beam theory as well as Hamilton's principle, nonlocal governing equations for METE-FG nanobeam are derived and are solved using Navier type method. The small size effect is captured using Eringen's nonlocal elasticity theory. The most beneficial feature of the present beam model is to provide a parabolic variation of the transverse shear strains across the thickness direction and satisfies the zero traction boundary conditions on the top and bottom surfaces of the beam without using shear correction factors. Various numerical examples are presented investigating the influences of thermo-mechanical loadings, magnetic potential, external electric voltage, power-law index, nonlocal parameter and slenderness ratio on thermal buckling behavior of nanobeams made of METE-FG materials.

108 citations


Cites background from "Buckling and Vibration Analysis of ..."

  • ...[4] researched linear buckling and free vibration behavior of layered and multiphase magneto‐electro‐elastic (MEE) beam under thermal environment....

    [...]

Journal ArticleDOI
TL;DR: In this paper, the buckling behavior of nonlocal magneto-electro-elastic functionally graded (MEE-FG) beams is investigated based on a higher-order beam model.
Abstract: In this article, buckling behavior of nonlocal magneto-electro-elastic functionally graded (MEE-FG) beams is investigated based on a higher-order beam model. Material properties of smart nanobeam are supposed to change continuously throughout the thickness based on the power-law model. Eringen's nonlocal elasticity theory is adopted to capture the small size effects. Nonlocal governing equations of MEE-FG nanobeam are obtained employing Hamilton's principle and they are solved using the Navier solution. Numerical results are presented to indicate the effects of magnetic potential, electric voltage, nonlocal parameter and material composition on buckling behavior of MEE-FG nanobeams. Therefore, the present study makes the first attempt in analyzing the buckling responses of higher-order shear deformable (HOSD) MEE-FG nanobeams.

92 citations

Journal ArticleDOI
TL;DR: In this article, nonlocal magnetoelectrothermoelastic analysis of a functionally graded nanobeam subjected to magneto-lectroelastic loads is investigated, based on third-order shear deformation theory.
Abstract: In this paper, nonlocal magnetoelectrothermoelastic analysis of a functionally graded nanobeam subjected to magnetoelectroelastic loads is investigated. Third-order shear deformation theory...

82 citations


Additional excerpts

  • ...© 2018 Taylor & Francis Ramirez et al. (2006), Kumaravel et al. (2007a), Kumaravel et al. (2007b), and Vaezi et al. (2016)....

    [...]

References
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Journal ArticleDOI
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

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 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

Journal ArticleDOI
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

Journal ArticleDOI
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