Journal ArticleDOI
A unified nonlocal strain gradient model for nanobeams and the importance of higher order terms
TLDR
In this paper, a unified size-dependent high-order beam model which contains various higher-order shear deformation beam models as well as Euler-Bernoulli and Timoshenko beam models is developed to study the simultaneous effects of nonlocal stress and strain gradient on the bending and buckling behaviors of nanobeams by using the nonlocal strain gradient theory.About:
This article is published in International Journal of Engineering Science.The article was published on 2017-10-01. It has received 138 citations till now. The article focuses on the topics: Timoshenko beam theory & Beam (structure).read more
Citations
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Nonlinear bending of functionally graded porous micro/nano-beams reinforced with graphene platelets based upon nonlocal strain gradient theory
TL;DR: In this paper, the size-dependent nonlinear bending of functionally graded porous micro/nano-beams reinforced with graphene platelets and subjected to the uniform distributed load together with an axial compressive load was investigated.
Journal ArticleDOI
A review on the mechanics of functionally graded nanoscale and microscale structures
Mergen H. Ghayesh,Ali Farajpour +1 more
TL;DR: 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.
Journal ArticleDOI
A review on the mechanics of nanostructures
TL;DR: In this paper, the nonlocal elasticity and nonlocal strain gradient elasticity have been employed to estimate the mechanical behavior of nanostructures, and the results of size-dependent wave propagation analyses are discussed.
Journal ArticleDOI
On dynamic analysis of nanorods
TL;DR: In this article, the longitudinal free vibration behaviors of one-dimensional nanostructures with various boundary conditions are investigated based on Eringen's nonlocal theory and the governing differential equation of motion is analytically solved for a number of different boundary conditions like clamped, free, attached mass and/or spring.
Journal ArticleDOI
Nonlocal strain gradient plate model for nonlinear large-amplitude vibrations of functionally graded porous micro/nano-plates reinforced with GPLs
TL;DR: In this paper, the size dependency in nonlinear large-amplitude vibrational response of functionally graded porous micro/nano-plates reinforced with graphene platelets (GPLs) was explored.
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.
Journal ArticleDOI
A Simple Higher-Order Theory for Laminated Composite Plates
TL;DR: In this paper, a higher-order shear deformation theory of laminated composite plates is developed, which accounts for parabolic distribution of the transverse shear strains through the thickness of the plate.
Journal ArticleDOI
Couple stress based strain gradient theory for elasticity
TL;DR: In this paper, an equilibrium relation is developed to govern the behavior of the couples, which constrained the couple stress tensor to be symmetric, and the symmetric curvature tensor became the only properly conjugated high order strain measures in the theory to have a real contribution to the total strain energy of the system.
Journal ArticleDOI
Experiments and theory in strain gradient elasticity
TL;DR: In this paper, a new set of higher-order metrics is developed to characterize strain gradient behaviors in small-scale structures and a strain gradient elastic bending theory for plane-strain beams is developed.
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A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
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