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A review on the mechanics of functionally graded nanoscale and microscale structures

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TLDR
In this article, a review of the mechanical properties of functionally graded nanoscale and micro-scale structures is presented, where various scale-dependent theories of elasticity for FG nanostructures such as FG nanobeams and nanoplates are explained.
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This article is published in International Journal of Engineering Science.The article was published on 2019-04-01. It has received 199 citations till now. The article focuses on the topics: Nanoelectromechanical systems.

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Citations
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On the effect of viscoelasticity on behavior of gyroscopes

TL;DR: In this article, the size and time-dependent viscoelastic bending analysis of rotating spherical nanostructures made of functionally graded materials (FGMs) is performed, where the structure is assumed to be rotated around two axes with constant angular accelerations.
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Stress-driven nonlocal integral elasticity for axisymmetric nano-plates

TL;DR: In this article, the authors extended the stress-driven nonlocal integral model of elasticity for 1D nano-structures to Kirchhoff axisymmetric nano-plates.
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On viscoelastic transient response of magnetically imperfect functionally graded nanobeams

TL;DR: In this article , the porosity-dependent viscoelastic functionally graded nanobeams subjected to dynamic loads and magnetic field as well as modified power-law function is presented.
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Variational nonlocal gradient elasticity for nano-beams

TL;DR: In this paper, a well-posed nonlocal stress gradient (NStressG) model is presented, coupling the stress-driven nonlocal strategy (Romano and Barretta, 2017) with the stress gradient elasticity.
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On instabilities and post-buckling of piezomagnetic and flexomagnetic nanostructures

TL;DR: In this article, the mechanical strength of piezomagnetic beam-like nanosize sensors during post-buckling was investigated and an effective flexomagnetic property was also taken into account.
References
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Journal ArticleDOI

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.
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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.
Book

Nonlocal Continuum Field Theories

TL;DR: Memory-dependent nonlocal nonlocal Electromagnetic Elastic Solids as mentioned in this paper have been shown to be memory-dependent on nonlocal elasticity and nonlocal linear elasticity, as well as nonlocal Linear Elasticity and Nonlocal Fluid Dynamics.
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Nonlocal theories for bending, buckling and vibration of beams

TL;DR: In this article, the Euler-Bernoulli, Timoshenko, Reddy, and Levinson beam theories are reformulated using the nonlocal differential constitutive relations of Eringen.
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Application of nonlocal continuum models to nanotechnology

TL;DR: In this paper, a nonlocal elasticity theory is employed to develop a non-local Benoulli/Euler beam model and some representative problems are solved to illustrate the magnitude of predicted nonlocal effects.
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