Journal ArticleDOI
Twisting statics of functionally graded nanotubes using Eringen’s nonlocal integral model
Xiaowu Zhu,Li Li +1 more
TLDR
In this article, a nonlocal integral model is formulated to investigate the twisting static behaviors of through-radius functionally graded (FG) nanotubes based on Eringen's non-local integral elasticity.About:
This article is published in Composite Structures.The article was published on 2017-10-15. It has received 102 citations till now. The article focuses on the topics: Functionally graded material.read more
Citations
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Longitudinal and torsional vibrations of size-dependent rods via nonlocal integral elasticity
Xiaowu Zhu,Li Li +1 more
TL;DR: 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.
Journal ArticleDOI
On longitudinal dynamics of nanorods
Xiaowu Zhu,Li Li +1 more
TL;DR: In this article, the authors formulated the longitudinal dynamic problem of a size-dependent elasticity rod by utilizing an integral form of nonlocal strain gradient theory and derived the governing equations and boundary conditions for the longitudinal dynamics of the rod by employing the Hamilton principle.
Journal ArticleDOI
Stress-driven integral elastic theory for torsion of nano-beams
Raffaele Barretta,Marina Diaco,Luciano Feo,Raimondo Luciano,Francesco Marotti de Sciarra,Rosa Penna +5 more
TL;DR: In this paper, a stress-driven integral elasticity model for beam-like components of nano-electro-mechanical systems (NEMS) has been proposed, which is suitable for nanotechnological applications.
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 integral formulations of plasticity and damage: Survey of progress
Zdenek P. Bazant,Milan Jirásek +1 more
TL;DR: The nonlocal continuum concept has emerged as an effective means for regularizing the boundary value problems with strain softening, capturing the size effects and avoiding spurious localization that gives rise to pathological mesh sensitivity in numerical computations as mentioned in this paper.
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.
Book
Handbook of Integral Equations
TL;DR: In this article, the authors present a method for solving linear Equations of the Form y(x) - xa K(x, t)y(t)dt = f(x).