Dynamical response of an embedded nanobeam by using nonlocal integral stress models

Eptaimeros, K.G.; Koutsoumaris, C. Chr.; Dernikas, Ioannis; Zisis, Th.

doi:10.1016/j.compositesb.2018.05.012

Cited by 21 publications

(2 citation statements)

References 84 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…With the Rayleigh theory, which formulates the shear effects in a simpler way, it can be stated that the size-dependent free vibration of atomic scaled structures has been explained [28,31]. Eptaimeros et al [32] performed the free vibration of nanobeams resting on Winkler foundation by using nonlocal integral approach and finite element analysis. Additionally, natural frequencies and natural frequency shifts of carbon nanotube-mass particle modelled with nonlocal Euler-Bernoulli and Timoshenko beam theories were investigated by Ceballes et al [33].…”

Section: Introductionmentioning

confidence: 99%

Yerel olmayan elastisite teorisi kullanılarak basit mesnetli Timoshenko nanokirişlerinin çökmeleri üzerinde kesit etkisi

Numanoğlu¹

2022

JCHAR

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Yerel olmayan elastisite teorisi kullanılarak basit mesnetli Timoshenko nanokirişlerinin çökmeleri üzerinde kesit etkisi

Numanoğlu¹

2022

JCHAR

View full text Add to dashboard Cite

“…These materials provide various advantages in different engineering applications [9,[13][14][15][16][17][18], such as lower stress intensity factors, improved stress spreading, enhanced corrosion resistance, higher thermal resistance and higher fracture toughness. Indeed, the properties of FG materials can be witnessed in some natural structures (such as sea shell and bone) and better understanding of these properties can help us synthesize new materials [19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Static and Dynamic Solutions of Functionally Graded Micro/Nanobeams under External Loads Using Non-Local Theory

Moheimani

Dalir

2020

Vibration

View full text Add to dashboard Cite

Functionally graded materials (FGMs) have wide applications in different branches of engineering such as aerospace, mechanics, and biomechanics. Investigation of the mechanical behaviors of structures made of these materials has been performed widely using classical elasticity theories in micro/nano scale. In this research, static, dynamic and vibrational behaviors of functional micro and nanobeams were investigated using non-local theory. Governing linear equations of the problem were driven using non-local theory and solved using an analytical method for different boundary conditions. Effects of the axial load, the non-local parameter and the power index on the natural frequency of different boundary condition are assessed. Then, the obtained results were compared with those obtained from classical theory. These results showed that a non-local effect could greatly affect the behaviors of these beams, especially at nano scale.

show abstract

Discontinuous Galerkin FEMs for a gradient beam in static carbon nanotube applications

Eptaimeros

Koutsoumaris

2021

Math Methods in App Sciences

View full text Add to dashboard Cite

The engineering applications of the innovative materials, such as carbon nanotubes (CNTs) and graphene sheets, constitute a developing branch of the modern science. CNTs, in particular, exhibit extraordinarily mechanical properties capable of making them a reliable material for the above applications. The simulation of the mechanical response of a CNT is effectively conducted by a generalized beam model. This work investigates the response of a CNT, subjected to a static loading, by means of a gradient beam model. Given that the existence of a boundary layer is demonstrated by the analytical solutions of the aforementioned problem, the interior penalty discontinuous Galerkin finite element methods (IPDGFEMs) are crucial to its solution. The hp‐version IPDGFEMs are developed in this study for the solution of a static gradient elastic beam in bending, derived from two different equilibrium formulations, for the first time. An a priori error analysis is also performed for the above method, and numerical simulations are then carried out. A comparison is finally drawn between the exact deflection and those of the IPDGFEM and the conforming C2‐continuous finite element method (C2CFEM) for a number of discretizations and each length scale that is investigated. The deduced results highlight the suitability, the efficiency, and the accuracy of the investigated models over the already existing ones, and they have considerable significance for the engineering design in the range of micro and nanodimensions.

show abstract

Dynamical response of an embedded nanobeam by using nonlocal integral stress models

Cited by 21 publications

References 84 publications

Yerel olmayan elastisite teorisi kullanılarak basit mesnetli Timoshenko nanokirişlerinin çökmeleri üzerinde kesit etkisi

Yerel olmayan elastisite teorisi kullanılarak basit mesnetli Timoshenko nanokirişlerinin çökmeleri üzerinde kesit etkisi

Static and Dynamic Solutions of Functionally Graded Micro/Nanobeams under External Loads Using Non-Local Theory

Discontinuous Galerkin FEMs for a gradient beam in static carbon nanotube applications

Contact Info

Product

Resources

About