Journal ArticleDOI
Buckling analysis of arbitrary two-directional functionally graded Euler–Bernoulli nano-beams based on nonlocal elasticity theory
TLDR
In this paper, the buckling analysis of two-directional functionally graded materials (FGM) nano-beams with small scale effects is carried out based on the nonlocal elasticity theory and the governing equations are obtained, employing the principle of minimum potential energy.About:
This article is published in International Journal of Engineering Science.The article was published on 2016-06-01. It has received 244 citations till now. The article focuses on the topics: Buckling & Boundary value problem.read more
Citations
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Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach
TL;DR: In this paper, a size-dependent beam model is proposed for nonlinear free vibration of a functionally graded (FG) nanobeam with immovable ends based on the nonlocal strain gradient theory (NLSGT) and Euler-Bernoulli beam theory in conjunction with the von-Karman's geometric nonlinearity.
Journal ArticleDOI
A review of continuum mechanics models for size-dependent analysis of beams and plates
TL;DR: In this paper, a comprehensive review on the development of higher-order continuum models for capturing size effects in small-scale structures is presented, mainly focusing on the size-dependent beam, plate and shell models developed based on the nonlocal elasticity theory, modified couple stress theory and strain gradient theory.
Journal ArticleDOI
Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material
TL;DR: In this article, the effects of the through-thickness power-law variation of a two-constituent functionally graded (FG) material and size-dependent parameters on nonlinear bending deflection and free vibration frequencies are investigated.
Journal ArticleDOI
Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory
TL;DR: In this paper, the bending, buckling and vibration problems of axially functionally graded (FG) beams are solved by a generalized differential quadrature method, and the influence of power-law variation and size-dependent parameters on the axially FG beam behavior is investigated.
Journal ArticleDOI
Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory
TL;DR: In this paper, the free vibration of nanobeams based on the non-local strain gradient theory was investigated and the results were compared with other beam models and other classical and non-classical theories.
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
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.
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 polar elastic continua
TL;DR: In this article, a continuum theory of non-local polar bodies is developed for nonlinear micromorphic elastic solids, and the balance laws and jump conditions are given.
Journal ArticleDOI
A general nonlocal beam theory: Its application to nanobeam bending, buckling and vibration
TL;DR: In this paper, a generalized nonlocal beam theory is proposed to study bending, buckling and free vibration of nanobeams, and nonlocal constitutive equations of Eringen are used in the formulations.
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