Buckling of bimorph functionally graded piezoelectric cylindrical nanoshell

Mehralian, Fahimeh; Beni, Yaghoub Tadi

doi:10.1177/0954406217738033

Cited by 13 publications

(1 citation statement)

References 55 publications

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“…The application of the modified strain gradient theory and couple stress theory has attracted considerable attention in the recent years in the investigation of the static and dynamic behavior of micro/nanostructures and nanotubes. 19–28 The size-dependent effect on the biaxial and shear nonlinear buckling analysis of an isotropic and orthotropic micro-plate based on the surface stress, the MCST, and the nonlocal elasticity theories using the differential quadrature method (DQM) was presented by Mohammadimehr et al. 29 Main advantages of the MCST over the CT are the inclusion of the asymmetric couple stress tensor and the consideration of only one material length scale parameter.…”

Section: Introductionmentioning

confidence: 99%

Size-dependent two-node axisymmetric shell element for buckling analysis with couple stress theory

Soleimani

Beni

Dehkordi

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this paper, two-node size-dependent axisymmetric shell element formulation is developed by using thin conical shell model in the place of the beam model, which is used in previous research and using the modified couple stress theory in the place of the classical continuum theory. Since classical continuum theory is unable to correctly compute stiffness and account for size effects in micro/nanostructures, higher order continuum theories such as modified couple stress theory have become quite popular. The mass stiffness matrix and geometric stiffness matrix for axisymmetric shell element are developed in this paper, and by means of size-dependent finite element formulation it is extended to more precisely account for nanotube buckling. The results have indicated using the two-node axisymmetric shell element, where the rigidity of the nano-shell is greater than that in the classical, and the critical axial buckling loads obtained from couple stress theory are greater than that of classical, which is due to the presence of one size parameter in couple stress theory. The findings also indicate that the developed size-dependent axisymmetric shell element is able to analyze the buckling of cylindrical and conical shells and also circular plate, which is reliable for simulating micro/nanostructures and can be used for the analysis of size effect and has desirable convergence characteristic. Besides, in addition to reducing the number of elements required, using axisymmetric shell element also increases convergence speed and accuracy.

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Section: Introductionmentioning

confidence: 99%

Size-dependent two-node axisymmetric shell element for buckling analysis with couple stress theory

Soleimani

Beni

Dehkordi

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

Self Cite

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Size‐dependent continuum‐based model of a flexoelectric functionally graded cylindrical nanoshells

Babadi

Beni

2020

Math Methods in App Sciences

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Flexoelectricity is dependent on the strain gradient, which is high in microscale and nanoscale, leading to its considerable effect on the electromechanical behavior of structures in microscale and nanoscale. Using the Love's theory for thin shells and the modified flexoelectricity theory, governing coupled equations of the functionally graded magneto‐electro‐elastic (FGMEE) cylindrical nanoshells were formulated along with their boundary conditions using the Hamilton's principle and variation method. It is worth noting that the governing coupled equations of FGMEE cylindrical nanoshell with an electric potential‐independent polarization parameter, where the polarization is independent of the electric potential, are considered the major novelty of this study. To show the ability and uniqueness of the formulation, free vibrations of the shell were examined in a specific state, regardless of the magnetic field effect under the clamped–clamped boundary condition. The effects of different parameters including geometry, size effect, and external voltage on the vibration frequency of the nanoshell were investigated. According to the results, the vibration behavior of the flexoelectric nanoshell is largely dependent on the size effect. Given the application of this structure in sensors and actuators, the external voltage has a considerable effect on the electromechanical behavior of the structure in the presence of the flexoelectric effect.

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Nonlinear thermo-electromechanical vibration analysis of size-dependent functionally graded flexoelectric nano-plate exposed magnetic field

2020

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Buckling of bimorph functionally graded piezoelectric cylindrical nanoshell

Cited by 13 publications

References 55 publications

Size-dependent two-node axisymmetric shell element for buckling analysis with couple stress theory

Size-dependent two-node axisymmetric shell element for buckling analysis with couple stress theory

Size‐dependent continuum‐based model of a flexoelectric functionally graded cylindrical nanoshells

Nonlinear thermo-electromechanical vibration analysis of size-dependent functionally graded flexoelectric nano-plate exposed magnetic field

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