Dynamic responses of functionally graded magneto-electro-elastic shells with open-circuit surface conditions
TL;DR: In this article, a 3D free-vibration analysis of simply supported, doubly curved functionally graded (FG) magneto-electro-elastic shells with open-circuit surface conditions is studied using an asymptotic approach.
About: This article is published in International Journal of Engineering Science.The article was published on 2008-09-01. It has received 72 citations till now. The article focuses on the topics: Asymptotic expansion & Equations of motion.
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TL;DR: In this article, a comprehensive review of the various methods employed to study the static, dynamic and stability behavior of Functionally Graded Material (FGM) plates is presented with an emphasis to present stress, vibration and buckling characteristics of FGM plates predicted using different theories.
326 citations
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
TL;DR: Wu et al. as discussed by the authors presented an overview of various 3D analytical approaches for the analysis of multilayered and functionally graded (FG) piezoelectric plates and shells.
Abstract: The article is to present an overview of various three-dimensional (3D) analytical approaches for the analysis of multilayered and functionally graded (FG) piezoelectric plates and shells. The reported 3D approaches in the literature are classified as four different approaches, namely, Pagano’s classical approach, the state space approach, the series expansion approach and the asymptotic approach. Both the mixed formulation and displacement-based formulation for the 3D analysis of multilayered piezoelectric plates are derived. The analytical process, based on the 3D formulations, for the aforementioned approaches is briefly interpreted. The present formulations of multilayered piezoelectric plates can also be used for the analysis of FG piezoelectric plates, of which material properties are heterogeneous through the thickness coordinate, by artificially dividing the plate as NL-layered plates with constant coefficients in an average sense for each layer. The present formulations can also be extended to the ones of piezoelectric shells using the associated shell coordinates. A comprehensive comparison among the 3D results available in the literature using various approaches is made. For illustration, the through-thickness distributions of various field variables for the simply-supported, multilayered and FG piezoelectric plates are presented using the asymptotic approach and doubly checked with a newly-proposed meshless method. The literature dealing with the 3D analysis of multilayered and FG piezoelectric plates is surveyed and included. This review article contains 191 references. 1 Corresponding author. Fax: +886-6-2370804, E-mail: cpwu@mail.ncku.edu.tw 2 Department of Civil Engineering, National Cheng Kung University, Taiwan, ROC Keyword: 3D solution; FG material; Piezoelectric material; Smart material; Shells; Plates
111 citations
Cites methods from "Dynamic responses of functionally g..."
...Using the asymptotic approach, Wu and his colleagues presented the 3D solutions for the static and free vibration analyses of doubly curved, FG magneto-electro-elastic shells (Wu and Tsai, 2007, 2008; Tsai et al., 2008; Tsai and Wu, 2008)....
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TL;DR: In this article, the first order shear deformation theory considering the von Karman's nonlinear strains is used to obtain the equations of motion, whereas Maxwell equations for electrostatics and magnetostatics are used to model the electric and magnetic behavior.
100 citations
TL;DR: In this article, the buckling and vibration analysis of functionally graded magneto-electro-thermo-elastic (FGMETE) circular cylindrical shell are carried out.
97 citations
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TL;DR: In this paper, a method of calculating the average internal stress in the matrix of a material containing inclusions with transformation strain is presented. But the authors do not consider the effects of the interaction among the inclusions and of the presence of the free boundary.
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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, 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 article, a micromechanics approach is developed to analyze the average fields and effective moduli of heterogeneous media that exhibit full coupling between stationary elastic, electric, and magnetic fields.
Abstract: A micromechanics approach is developed to analyze the average fields and effective moduli of heterogeneous media that exhibit full coupling between stationary elastic, electric, and magnetic fields. Exact relations regarding the internal field distribution inside a heterogeneous magnetoelectroelastic solid are first established, followed by exact connections between the effective magnetoelectroelastic and thermal moduli of two-phase composites. The Mori-Tanaka mean field approach is then applied to obtain closed form expressions for the effective moduli of fibrous and laminated composites. Finally, numerical results for BaTiO 3 -CoFe 2 O 4 composites are presented and discussed.
335 citations
TL;DR: In this paper, an exact three-dimensional analysis for a functionally gradient piezoelectric material rectangular plate that is simply supported and grounded along its four edges is presented, assuming that the mechanical and electric properties of the material have the same exponent-law dependence on the thickness coordinate.
240 citations