Journal ArticleDOI
A new trigonometric beam model for buckling of strain gradient microbeams
Bekir Akgöz,Ömer Civalek +1 more
TLDR
In this article, a new microstructure-dependent sinusoidal beam model for buckling of microbeams using modified strain gradient theory is presented and the equilibrium equations and corresponding boundary conditions in buckling are derived with the minimum total potential energy principle.About:
This article is published in International Journal of Mechanical Sciences.The article was published on 2014-04-01. It has received 117 citations till now. The article focuses on the topics: Microbeam & Buckling.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
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.
Journal ArticleDOI
Thermo-mechanical buckling behavior of functionally graded microbeams embedded in elastic medium
Bekir Akgöz,Ömer Civalek +1 more
TL;DR: In this article, the buckling analysis of embedded functionally graded (FG) microbeams is performed based on sinusoidal shear deformation beam and modified couple stress theories.
Journal ArticleDOI
Bending analysis of embedded carbon nanotubes resting on an elastic foundation using strain gradient theory
Bekir Akgöz,Ömer Civalek +1 more
TL;DR: In this paper, the static bending response of single-walled carbon nanotubes (SWCNTs) embedded in an elastic medium is investigated on the basis of higher-order shear deformation microbeam models in conjunction with modified strain gradient theory.
Journal ArticleDOI
A novel microstructure-dependent shear deformable beam model
Bekir Akgöz,Ömer Civalek +1 more
TL;DR: In this article, a new size-dependent beam model is introduced on the basis of hyperbolic shear deformation beam and modified strain gradient theory, and the governing differential equations and corresponding boundary conditions are obtained with the aid of minimum total potential energy principle.
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.
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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.
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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.
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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.