Journal ArticleDOI
Free flexural vibration of geometrically imperfect functionally graded microbeams
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TLDR
In this article, the free flexural vibration characteristics of functionally graded (FG) microbeams with geometric imperfection are explored numerically, taking into account the size effect phenomenon based on modified couple stress theory.About:
This article is published in International Journal of Engineering Science.The article was published on 2016-08-01. It has received 100 citations till now. The article focuses on the topics: Flexural rigidity & Flexural strength.read more
Citations
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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
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
On dynamic instability of magnetically embedded viscoelastic porous FG nanobeam
M.H. Jalaei,Ӧ. Civalek +1 more
TL;DR: In this paper, the porosity-dependent material properties of the porous FG nanobeam are described via a modified power-law function, which is considered based on the Kelvin-Voigt model.
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Post-buckling analysis of functionally graded nanobeams incorporating nonlocal stress and microstructure-dependent strain gradient effects
TL;DR: In this article, a size-dependent Euler-Bernoulli beam model is proposed to investigate the scaling effect on the post-buckling behaviors of functionally graded (FG) nanobeams with the von Karman geometric nonlinearity.
References
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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.
Journal ArticleDOI
A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
H. M. Ma,Xin-Lin Gao,J. N. Reddy +2 more
TL;DR: In this paper, a microstructure-dependent Timoshenko beam model is developed using a variational formulation, which is based on a modified couple stress theory and Hamilton's principle.
Journal ArticleDOI
Bernoulli–Euler beam model based on a modified couple stress theory
S. K. Park,Xin-Lin Gao +1 more
TL;DR: In this paper, a modified couple stress theory was used for the bending of a Bernoulli-Euler beam and a variational formulation based on the principle of minimum total potential energy was employed.
Journal ArticleDOI
Microstructure-dependent couple stress theories of functionally graded beams
TL;DR: In this article, a microstructure-dependent nonlinear Euler-Bernoulli and Timoshenko beam theory was proposed to account for through-thickness power-law variation of a two-constituent material.
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Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory
Mesut Şimşek,J. N. Reddy +1 more