Higher order nonlocal viscoelastic strain gradient theory for dynamic buckling analysis of carbon nanocones

The dynamic stability response of a micro sandwich beam with leptadenia pyrotechnica rheological elastomer (LPRE) core is studied. The top and bottom layers respectively are assumed as piezoelectric reinforced with carbon nanotubes (CNTs) and porous functionally graded materials (FGM). The core and top layers are affected by magnetic and electric fields for the magnetic and piezoelectric characteristics of the layers, respectively. The Halpin-Tsai micromechanics theory for obtaining the effective material properties of the nanocomposite layer is utilized. On the basis of Kelvin-Voigt model, the structural damping of the smart micro beam is assumed. The microstructure is located on the viscoelastic model which is simulated using Visco-Pasternak platform. The size effects are assumed according to the theory of strain gradient including three-length scale constants. The various theories of first-order shear deformation beam theory (FSDBT), third-order shear deformation beam theory (TSDBT), parabolic shear deformation beam theory (PSDBT), and exponential shear deformation beam theory (ESDBT) are utilized for driving the governing equations according to the Hamilton's principle. The motion final relations are solved by the differential quadrature method (DQM) for presenting the dynamic buckling area. The effects of different components such as volume percentage and distribution of GPLs, porosities, magnetic field of LPRE, applied voltage, FG index, structural damping, and geometric components of the micro sandwich beam on the dynamic stability reign (DIR) of the system are shown. The results with other researcher papers are compared. The results show that the DIR increases by applying a magnetic field to the LPRE layer.

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“…Where, V 0 is the external electric voltage. Assuming Kelvin-Voigt theory, the elastic bending rigidity is expressed as follows [36] :…”

Section: Visco-piezoelasticity Theorymentioning

confidence: 99%

Dynamic instability of nanocomposite piezoelectric‐leptadenia pyrotechnica rheological elastomer‐porous functionally graded materials micro viscoelastic beams at various strain gradient higher‐order theories

et al. 2021

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“…Dynamic instability of hybrid nanocomposite beam was investigated by Keshtegar et al [15] on the basis of Halpin-Tsai model. Al-Furjan et al [16] presented dynamic stability of viscoelastic carbon nanocones under the thermal and magnetic loads on the basis of Mindlin theory. Alsaadi et al [17] studied flexural, tensile, damping and vibration of carbon fiber reinforced epoxy composite.…”

Section: Introductionmentioning

confidence: 99%

Influences of fiber reinforced polymer layer on the dynamic deflection of concrete pipes containing nanoparticle subjected to earthquake load

et al. 2021

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A numerical solution for dynamic analysis induced by earthquake load in concrete pipes containing SiO 2 nanoparticles warped by fiber reinforced polymer (FRP) layer is utilized in the present paper on the basis of Mori-Tanaka model.The FRP layer is used as reinforcement for the concrete pipe. Utilizing the cylindrical higher order shell theory, the concrete pipe is mathematically simulated and the related governing relations are derived based on. Utilizing numerical methods of Newmark and Galerkin, the dynamic displacement of the concrete pipe is obtained. The influence of FRP layer and its thickness, volume fraction and agglomeration of nanoparticle, boundary conditions and length to radius ratio of the concrete pipe is studied on the dynamic deflection of the concrete pipe. Numerical outcomes illustrate that the FRP layer can reduces the dynamic deflection significantly.

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“…The nonlinear dynamics of functionally graded CNTs reinforced composite beams and shells is treated in literature. 20–35 The dynamic behavior of the nanocomposite conical shell is studied in literature. 28,29…”

Section: Introductionmentioning

confidence: 99%

Buckling of functionally graded carbon nanotubes reinforced composite joined spherical-cylindrical-spherical thin-walled structure

Аврамов

Myrzaliyev

Uspensky

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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Functionally graded carbon nanotubes reinforced composite joined spherical-cylindrical-spherical thin-walled structure under the actions of axial and lateral distributed loads is considered. The static buckling of this structure is analyzed numerically. The Ritz method is used to derive the governing equations of the joined thin-walled structure buckling. Higher-order shear deformation theory is applied to describe the structure stress-strain state. The continuity conditions of the spherical-cylinder junction are derived. The displacements projections are chosen in the special form to satisfy these continuity conditions. The dependences of the buckling axial load on the CNTs distributions, CNTs volume fractions are analyzed numerically.

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Higher order nonlocal viscoelastic strain gradient theory for dynamic buckling analysis of carbon nanocones

Cited by 48 publications

References 46 publications

Dynamic instability of nanocomposite piezoelectric‐leptadenia pyrotechnica rheological elastomer‐porous functionally graded materials micro viscoelastic beams at various strain gradient higher‐order theories

Dynamic instability of nanocomposite piezoelectric‐leptadenia pyrotechnica rheological elastomer‐porous functionally graded materials micro viscoelastic beams at various strain gradient higher‐order theories

Influences of fiber reinforced polymer layer on the dynamic deflection of concrete pipes containing nanoparticle subjected to earthquake load

Buckling of functionally graded carbon nanotubes reinforced composite joined spherical-cylindrical-spherical thin-walled structure

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