Results 171 to 180 of about 71,780 (248)
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Theory of nonlocal electromagnetic elastic solids

Journal of Mathematical Physics, 1973
A continuum theory of nonlocal electromagnetic elastic solids is proposed. Nonlocal and local balance laws and jump conditions are obtained. Through the use of an extension of Clausius-Duhem inequality, encompassing nonlocal effects, E-M momentum and constitutive equations are derived and restricted.
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Comprehensive semi-analytical vibration analysis of rotating tapered AFG nanobeams based on nonlocal elasticity theory considering various boundary conditions via differential transformation method

Composites Part B: Engineering, 2019
This paper is concerned with the vibration analysis of a rotating tapered axially functionally graded (AFG) nanobeam. The material properties of the nanobeam are assumed to vary along its length.
R. Talebitooti   +2 more
semanticscholar   +1 more source

Higher–order nonlocal gradient elasticity: A consistent variational theory

International Journal of Engineering Science, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Modified nonlocal elasticity theory for functionally graded materials

International Journal of Engineering Science, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salehipour, H.   +2 more
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Integro-differential nonlocal theory of elasticity

International Journal of Engineering Science, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlinear Vibration Analysis of Nano-Disks Based on Nonlocal Elasticity Theory Using Homotopy Perturbation Method

International Journal of Applied Mechanics, 2019
This paper introduces a novel approach for small-scale effects on nonlinear free-field vibration of a nano-disk using nonlocal elasticity theory. The formulation of a nano-disk is based on the nonlinear model of von Kármán strain in polar coordinates and
M. Shishesaz   +3 more
semanticscholar   +1 more source

Twisting statics and dynamics for circular elastic nanosolids by nonlocal elasticity theory

Acta Mechanica Solida Sinica, 2011
Abstract The torsional static and dynamic behaviors of circular nanosolids such as nanoshafts, nanorods and nanotubes are established based on a new nonlocal elastic stress field theory. Based on a new expression for strain energy with a nonlocal nanoscale parameter, new higher-order governing equations and the corresponding boundary conditions are ...
Cheng Li, C.W. Lim, Jilin Yu
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Nano-resonator dynamic behavior based on nonlocal elasticity theory

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2014
By decreasing the thickness of micro- and nano-beams, classical continuum theory is not accurate to model the static and dynamic response of them due to absence of length scale parameter. In this paper, nonlocal elasticity theory is used to detect the chaos in nano-resonator.
Mehdi Maleki, Hassan Nahvi
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Longitudinal vibration of cracked nanobeams using nonlocal elasticity theory

Current Applied Physics, 2011
Abstract The aim of this paper is to study the longitudinal frequency of a cracked nanobeam. The frequency equation of the nanobeam with clamped–clamped and clamped–free boundary conditions is derived based on the nonlocal elasticity theory. According to the equation, it can be found that the effects of the crack parameter, crack location, and ...
Jung-Chang Hsu   +2 more
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An asymmetric theory of nonlocal elasticity—Part 1. Quasicontinuum theory

International Journal of Solids and Structures, 1999
In this article, an asymmetric theory of nonlocal elasticity is developed on the basis of three dimensional atomic lattice model, the Galileo invariance for constitutive equations and by use of Fourier transformation of generalized function and energy method.
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