Journal ArticleDOI
Longitudinal and torsional vibrations of size-dependent rods via nonlocal integral elasticity
Xiaowu Zhu,Li Li +1 more
TLDR
In this paper, the size-dependent longitudinal and torsional dynamic problems for small-scaled rods are modeled by utilizing an integral formula of two-phase nonlocal theory, which depends on the internal characteristic length via convolution integrals over exponential kernel.About:
This article is published in International Journal of Mechanical Sciences.The article was published on 2017-11-01. It has received 113 citations till now. The article focuses on the topics: Boundary value problem & Hamilton's principle.read more
Citations
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Free vibrations of elastic beams by modified nonlocal strain gradient theory
TL;DR: In this paper, the size-dependent axial and flexural free vibrations of Bernoulli-Euler nano-beams are investigated by the modified nonlocal strain gradient elasticity model presented in (Barretta & Marotti de Sciarra, 2018).
Journal ArticleDOI
The effect of thickness on the mechanics of nanobeams
Li Li,Haishan Tang,Yujin Hu +2 more
TL;DR: In this article, a nonlocal strain gradient beam model incorporating the thickness effect is developed for the size-dependent buckling analysis of nanobeams, and closed-form solutions are derived for post-buckling configuration and critical buckling force.
Journal ArticleDOI
Size-dependent nonlinear vibration of beam-type porous materials with an initial geometrical curvature
Li Li,Haishan Tang,Yujin Hu +2 more
TL;DR: In this article, the size-dependent nonlinear free vibration behavior of beam-type porous materials with geometric imperfections is investigated, where the Hamilton's principle is utilized to derive the size dependent nonlinear equations of motion and corresponding boundary conditions based on the Euler-Bernoulli beam model and the von Karman type nonlinearity.
Journal ArticleDOI
On guided wave propagation in fully clamped porous functionally graded nanoplates
TL;DR: In this paper, the authors used the first-order shear deformation theory and non-local elasticity theory to capture the size-dependent and shear effects, and derived the wave frequencies and phase velocities of a fully clamped porous functionally graded nanoplate incorporating the effects of length-to-thickness ratio, aspect ratio, porosities, material gradation, nonlocal parameter, elastic foundation parameters and wave number.
Journal ArticleDOI
Hygrothermal wave propagation in viscoelastic graphene under in-plane magnetic field based on nonlocal strain gradient theory
TL;DR: In this article, a size-dependent model for the hygrothermal wave propagation analysis of an embedded viscoelastic single layer graphene sheet (SLGS) under the influence of in-plane magnetic field was developed.
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.
Book
Nonlocal Continuum Field Theories
AC Eringen,JL Wegner +1 more
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.
Journal ArticleDOI
Nonlocal theories for bending, buckling and vibration of beams
J. N. Reddy,J. N. Reddy +1 more
TL;DR: In this article, the Euler-Bernoulli, Timoshenko, Reddy, and Levinson beam theories are reformulated using the nonlocal differential constitutive relations of Eringen.
Journal ArticleDOI
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.
Journal ArticleDOI
Linear theory of nonlocal elasticity and dispersion of plane waves
TL;DR: In this article, the dispersion relations for one dimensional plane waves were obtained by fitting the nonlocal material moduli to exactly the acoustical branch of elastic waves within one Brillouin zone in periodic one dimensional lattices.
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