Journal ArticleDOI
Free vibration of size-dependent magneto-electro-elastic nanobeams based on the nonlocal theory
Liao-Liang Ke,Yue-Sheng Wang +1 more
TLDR
In this paper, the free vibration of magneto-electro-elastic (MEE) nanobeams based on the nonlocal theory and Timoshenko beam theory is investigated.Abstract:
This paper investigates the free vibration of magneto-electro-elastic (MEE) nanobeams based on the nonlocal theory and Timoshenko beam theory. The MEE nanobeam is subjected to the external electric potential, magnetic potential and uniform temperature rise. The governing equations and boundary conditions are derived by using the Hamilton principle and discretized by using the differential quadrature (DQ) method to determine the natural frequencies and mode shapes. A detailed parametric study is conducted to study the influences of the nonlocal parameter, temperature rise, external electric and magnetic potentials on the size-dependent vibration characteristics of MEE nanobeams.read more
Citations
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Journal ArticleDOI
A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams
TL;DR: In this paper, a review aimed at directing the light to research work concerned with bending, buckling, vibrations, and wave propagation of nanobeams modeled according to the nonlocal elasticity theory of Eringen.
Journal ArticleDOI
A review on the mechanics of nanostructures
TL;DR: In this paper, the nonlocal elasticity and nonlocal strain gradient elasticity have been employed to estimate the mechanical behavior of nanostructures, and the results of size-dependent wave propagation analyses are discussed.
Journal ArticleDOI
Vibration analysis of smart piezoelectrically actuated nanobeams subjected to magneto-electrical field in thermal environment:
TL;DR: In this article, the vibration characteristics of magneto-electro-thermo-elastic functionally graded (METE-FG) nanobeams are investigated in the framework of third order shear deformation theory.
Journal ArticleDOI
Nonlocal nonlinear plate model for large amplitude vibration of magneto-electro-elastic nanoplates
TL;DR: In this paper, a nonlocal continuum model is developed for the nonlinear free vibration of size-dependent magneto-electro-elastic nanoplates subjected to external electric and magnetic potentials.
Journal ArticleDOI
Size-dependent nonlinear forced vibration analysis of magneto-electro-thermo-elastic Timoshenko nanobeams based upon the nonlocal elasticity theory
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.
References
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On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
TL;DR: In this article, the integropartial differential equations of the linear theory of nonlocal elasticity are reduced to singular partial differential equations for a special class of physically admissible kernels.
Journal ArticleDOI
Multiferroic magnetoelectric composites: Historical perspective, status, and future directions
TL;DR: In this article, a review of mostly recent activities can be found, with a brief summary of the historical perspective of the multiferroic magnetoelectric composites since its appearance in 1972.
Journal ArticleDOI
Multiferroic BaTiO3-CoFe2O4 Nanostructures.
Haimei Zheng,Jian Wang,Samuel E. Lofland,Z. Ma,L. Mohaddes-Ardabili,T. Zhao,Lourdes Salamanca-Riba,S. R. Shinde,Satishchandra Ogale,Feiming Bai,Dwight Viehland,Y. Jia,Darrell G. Schlom,Manfred Wuttig,Alexander L. Roytburd,Ramamoorthy Ramesh +15 more
TL;DR: Thermodynamic analyses show that the magnetoelectric coupling in a nanostructured BaTiO3-CoFe2O4 ferroelectromagnet can be understood on the basis of the strong elastic interactions between the two phases.
Journal ArticleDOI
Nonlocal polar elastic continua
TL;DR: In this article, a continuum theory of non-local polar bodies is developed for nonlinear micromorphic elastic solids, and the balance laws and jump conditions are given.
Journal ArticleDOI
Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases
Ce-Wen Nan,Ce-Wen Nan +1 more
TL;DR: A generalized theoretical framework based on a Green's function method and perturbation theory is proposed to treat the coupled magnetoelectric behavior in the composites, and the theoretical estimates are shown to be in agreement with available experimental results.