Journal ArticleDOI
Dynamic modeling of a thermo–piezo-electrically actuated nanosize beam subjected to a magnetic field
TLDR
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.read more
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Hygrothermal effects on vibration characteristics of viscoelastic FG nanobeams based on nonlocal strain gradient theory
TL;DR: In this paper, the damping vibration characteristics of hygro-thermally affected functionally graded (FG) viscoelastic nanobeams embedded in a nonlocal strain gradient elasticity theory are investigated.
Journal ArticleDOI
A nonlocal higher-order refined magneto-electro-viscoelastic beam model for dynamic analysis of smart nanostructures
TL;DR: In this article, a nonlocal higher-order refined magneto-electro-viscoelastic beam model for vibration analysis of smart nanostructures under different boundary conditions is presented.
Journal ArticleDOI
A nonlocal strain gradient refined beam model for buckling analysis of size-dependent shear-deformable curved FG nanobeams
TL;DR: In this article, the buckling characteristics of a curved functionally graded (FG) nanobeam based on nonlocal strain gradient elasticity theory accounting the stress for not only the nonlocal stress field but also the strain gradients stress field were investigated.
Journal ArticleDOI
New 2D and quasi-3D shear deformation theories for free vibration of functionally graded plates on elastic foundations
TL;DR: In this article, a two-dimensional and quasi-three-dimensional shear deformation model is proposed to model the free vibration of FG plates resting on elastic foundations using a new shear strain shape function.
Journal ArticleDOI
Wave propagation analysis of quasi-3D FG nanobeams in thermal environment based on nonlocal strain gradient theory
TL;DR: In this article, the authors examined the application of nonlocal strain gradient elasticity theory to wave dispersion behavior of a size-dependent functionally graded (FG) nanobeam in thermal environment.
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
On nonlocal elasticity
TL;DR: In this article, a theory of non-local elasticity is presented via the vehicles of global balance laws and the second law of thermodynamics via the use of a localized Clausius-Duhem inequality and a variational statement of Gibbsian global thermodynamics.
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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.
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Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory
Mesut Şimşek,H.H. Yurtcu +1 more
TL;DR: In this paper, a non-classical (non-local) nanobeam model incorporating the length scale parameter (nonlocal parameter) which can capture the small scale effect is proposed.
Journal ArticleDOI
Exact solution for functionally graded and layered magneto-electro-elastic plates
Ernian Pan,F. Han +1 more
TL;DR: In this article, an exact solution for the multilayered rectangular plate made of functionally graded, anisotropic, and linear magneto-electro-elastic materials is presented.