Nonlocal FEM Formulation for Vibration Analysis of Nanowires on Elastic Matrix with Different Materials

Uzun, Büşra; Cívalek, Ömer

doi:10.3390/mca24020038

Cited by 19 publications

(15 citation statements)

References 30 publications

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“…Multiscale computational homogenization proposed in [14][15][16][17][18][19][20][21] used non-local or higher order deformation gradient theories in composite materials. In addition, non-local explicit modeling in elastic composites were presented in [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Material Symmetries in Homogenized Hexagonal-Shaped Composites as Cosserat Continua

Fantuzzi

Trovalusci

2020

Symmetry

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In this work, material symmetries in homogenized composites are analyzed. Composite materials are described as materials made of rigid particles and elastic interfaces. Rigid particles of arbitrary hexagonal shape are considered and their geometry described by a limited set of parameters. The purpose of this study is to analyze different geometrical configurations of the assemblies corresponding to various material symmetries such as orthotetragonal, auxetic and chiral. The problem is investigated through a homogenization technique which is able to carry out constitutive parameters using a principle of energetic equivalence. The constitutive law of the homogenized continuum has been derived within the framework of Cosserat elasticity, wherein the continuum has additional degrees of freedom with respect to classical elasticity. A panel composed of material with various symmetries, corresponding to some particular hexagonal geometries defined, is analyzed under the effect of localized loads. The results obtained show the difference of the micropolar response for the considered material symmetries, which depends on the non-symmetries of the strain and stress tensor as well as on the additional kinematical and work-conjugated statical descriptors. This work underlines the importance of resorting to the Cosserat theory when analyzing anisotropic materials.

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Section: Introductionmentioning

confidence: 99%

Material Symmetries in Homogenized Hexagonal-Shaped Composites as Cosserat Continua

Fantuzzi

Trovalusci

2020

Symmetry

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“…Eremeyev et al in [46,47] investigate the effect of flexoelectricity and flexomagnetic on nanobeams. Using FEM formulation [48,49] analyzed free vibration of orthotropic cross-ply nanoplates and nanowires. Ebrahimi in [50] studied buckling behaviour of magneto-electro-elastic functionally graded nanobeams using higer-order beam theory and Eringen's non-local elasticity.…”

Section: Introductionmentioning

confidence: 99%

Critical Temperatures for Vibrations and Buckling of Magneto-Electro-Elastic Nonlocal Strain Gradient Plates

2021

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An analytical method is presented in this work for the linear vibrations and buckling of nano-plates in a hygro-thermal environment. Nonlinear von Kármán terms are included in the plate kinematics in order to consider the instability phenomena. Strain gradient nonlocal theory is considered for its simplicity and applicability with respect to other nonlocal formulations which require more parameters in their analysis. Present nano-plates have a coupled magneto-electro-elastic constitutive equation in a hygro-thermal environment. Nano-scale effects on the vibrations and buckling behavior of magneto-electro-elastic plates is presented and hygro-thermal load outcomes are considered as well. In addition, critical temperatures for vibrations and buckling problems are analyzed and given for several nano-plate configurations.

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“…Civalek presented the finite element formulations of plates and shells [37]. On the other hand, it can be stated that studies on the use of finite element formulation in mechanical analysis of nanostructures with nonlocal elasticity have taken place in the literature [27,28,[38][39][40][41][42][43][44][45][46][47][48][49][50][51][52]. Additionally, the free vibration behavior of a functionally graded beam is researched for Euler-Bernoulli, Timoshenko, Shear and Rayleigh beam theories [53].…”

Section: Introductionmentioning

confidence: 99%

Thermal Vibration of Zinc Oxide Nanowires by using Nonlocal Finite Element Method

Numanoğlu

2020

International Journal of Engineering and Applied Sciences

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Zinc oxide nanowires (ZnO NWs) can be used in some NEMS applications due to their remarkable chemical, physical, mechanical and thermal resistance properties. In terms of the suitability of such NEMS organizations, a correct mechanical model and design of ZnO NWs should also be established under different effects. In this study, thermal vibration analyses of elastic beam models of ZnO NWs are examined based on Eringen's nonlocal elasticity theory. The resulting equation of motion is solved with a finite element formulation developed for the atomic size-effect and thermal environment. The vibration frequencies of ZnO NWs with different boundary conditions are calculated under nonlocal parameter and temperature change values and numerical results were discussed.

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Nonlocal FEM Formulation for Vibration Analysis of Nanowires on Elastic Matrix with Different Materials

Cited by 19 publications

References 30 publications

Material Symmetries in Homogenized Hexagonal-Shaped Composites as Cosserat Continua

Material Symmetries in Homogenized Hexagonal-Shaped Composites as Cosserat Continua

Critical Temperatures for Vibrations and Buckling of Magneto-Electro-Elastic Nonlocal Strain Gradient Plates

Thermal Vibration of Zinc Oxide Nanowires by using Nonlocal Finite Element Method

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