Analytical solution for buckling of orthotropic double-layered graphene sheets exposed to unidirectional in-plane magnetic field with various boundary conditions

Radić, Nebojša; Jeremić, Dejan

doi:10.1016/j.compositesb.2017.12.054

Cited by 9 publications

(1 citation statement)

References 57 publications

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“…The superscript 'T' denotes the transpose of the matrix. The material length scale parameter in the formulation of the modified couple stress theory is mathematically defined as the square of the ratio of curvature modulus to shear modulus that is physically used to capture the small-scale effects [53]. This parameter can be determined whether experimentally using the torsion or bending test at small scales or computationally using the molecular dynamics simulation.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Effects of combined material and geometric nonlinearities on dynamic response of embedded nanobeams

Fakhrabadi¹

2020

Phys. Scr.

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Exact prediction of the mechanical behavior of nano-sensors and nano-actuators directly depends on the models applied to analyze their nano-components. From their dynamic behavior point of view, despite many studies related to the geometrical nonlinearities in modeling the nanostructures, one of the main issues that has not been addressed appropriately is the effects of material nonlinearity. Hence, this paper intends to fill this gap and deals with an investigation of combined geometrical and material nonlinearities on the nonlinear dynamic response of the embedded nanobeams in their free vibration as well as the primary and superharmonic resonances. The material nonlinearity considered in this research is formulated based on the sum of linear and cubic relations between the stress and strain. The results reveal that, for the material and boundary conditions of the embedded nanobeam studied in this research, the material nonlinearity tries to cause softening effects while the geometrical nonlinearity attempts to make hardening influences. The competition between these two effects leads to interesting nonlinear behaviors of the nanobeam for different dimensions and dynamic regimes that are scrutinized in this paper. In addition, the effects of applying external magnetic fields on the nonlinear responses of the nanobeams are investigated.

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Section: Mathematical Formulationmentioning

confidence: 99%

Effects of combined material and geometric nonlinearities on dynamic response of embedded nanobeams

Fakhrabadi¹

2020

Phys. Scr.

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Accurate Buckling Analysis of Magnetically Affected Cantilever Nanoplates Subjected to In-plane Magnetic Fields

Wang

Rong

et al. 2019

J. Vib. Eng. Technol.

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A numerical method for magneto-hygro-thermal dynamic stability analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary conditions

Kolahchi

Kolahdouzan

2021

Applied Mathematical Modelling

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Analytical solution for buckling of orthotropic double-layered graphene sheets exposed to unidirectional in-plane magnetic field with various boundary conditions

Cited by 9 publications

References 57 publications

Effects of combined material and geometric nonlinearities on dynamic response of embedded nanobeams

Effects of combined material and geometric nonlinearities on dynamic response of embedded nanobeams

Accurate Buckling Analysis of Magnetically Affected Cantilever Nanoplates Subjected to In-plane Magnetic Fields

A numerical method for magneto-hygro-thermal dynamic stability analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary conditions

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