Nonlinear thermal stability and snap-through buckling of temperature-dependent geometrically imperfect graded nanobeams on nonlinear elastic foundation

Salari, Erfan; Vanini, S.A. Sadough; Ashoori, A.R.

doi:10.1088/2053-1591/ab5e50

Cited by 18 publications

(9 citation statements)

References 60 publications

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“…With the increase of nonlocal parameters, stiffness and critical temperature of functionally graded piezoelectric nanobeams and plates decrease, and the critical buckling temperature decreases with the increase of aspect ratio. At the same time, they also discussed the instability of functionally graded nanobeams and plates with pores [10][11][12]. The conclusions obtained are the same as those of homogeneous nanobeams and plates.…”

Section: Introductionmentioning

confidence: 65%

“…With the development of electronic components tend to be more miniaturized, the stability of nanostructures has attracted a large number of scholars [5,6]. Based on the nonlocal elasticity theory, Salari et al [7][8][9] studied the buckling instability characteristics of functionally graded piezoelectric nanobeams and plates under thermal loads. The results show that the existence of nonlocal effects leads to the decrease of buckling temperature.…”

Section: Introductionmentioning

confidence: 99%

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Influence of surface effect on post-buckling behavior of piezoelectric nanobeams

et al. 2023

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Piezoelectric nanobeams with excellent mechanical, thermal and electrical properties are important components in micro-nano electromechanical systems, which are widely used as sensors, brakes and resonators. Based on the Euler-Bernoulli beam model, the influence of surface effect on the post-buckling behavior of piezoelectric nanobeams is analyzed. According to the surface elasticity theory and the ' core-shell ' model, the surface energy model is used to introduce the influence of surface effect. The governing equations and boundary conditions of the post-buckling of piezoelectric nanobeams under the influence of surface effects are derived by the principle of minimum potential energy. The analytical solution of post-buckling is obtained by the eigenvalue method. The influence of surface effect on post-buckling configuration, post-buckling path, amount of induced charge and critical load of piezoelectric nanobeams with different external constraints and cross-sectional dimensions are discussed. The results show that surface effect has a significant influence on the post-buckling of piezoelectric nanobeams. Considering surface effect, the effective elastic modulus and critical load of piezoelectric nanobeams are increased, and the post-buckling configuration, post-buckling path and amount of induced charge are reduced. These findings contribute to the study of micro-nano electromechanical systems based on nanobeam structures and provide a theoretical basis for the design and manufacture of nanodevices.

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Section: Introductionmentioning

confidence: 65%

Section: Introductionmentioning

confidence: 99%

Influence of surface effect on post-buckling behavior of piezoelectric nanobeams

et al. 2023

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“…N xx and N yy are the load-type stress resultants along the x-axis and y-axis, respectively. In order to obtain the initial postbuckling equilibrium curves, the incremental-iterative Newton technique in conjunction with the arc-length method are employed to solve the nonlinear equation (34). It is assumed that the applied compressive load can be defined in a proportional form in terms of a fixed load of  , 0 so one will have…”

Section: ˜˜˜( )mentioning

confidence: 99%

“…Daghigh et al [32] studied the flexural characteristics of carbon nanotube-reinforced nanoplates in agglomerated scheme in the presence of nonlocality. Salari et al [33,34] anticipated nonlinear thermal bending and snap-through behavior of laterally loaded graded composite nanobeams based upon the nonlocal continuum theory of elasticity. Fan et al [35][36][37] introduced small scale-dependent isogeometric plate formulations for nonlinear oscillations and postbuckling behaviors of porous graded composite microplates.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear stability of axially compressed couple stress-based composite micropanels reinforced with random checkerboard nanofillers

Lu¹,

Zhou²,

Sahmani³

et al. 2021

Phys. Scr.

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In this investigation, by matching the moving Kriging meshfree formulations with the third-order shear flexible shell model together with the modified couple stress continuity, the size-dependent nonlinear stability characteristics of micropanels subjected to axial compression are analyzed. The random checkerboard model is employed for the micropanels made of graphene nanoplatelet random-reinforced composites. The associated material characteristics are evaluated via a probabilistic-based micromechanical scheme. Afterwards, proper meshfree functions are implemented to enforce the essential boundary conditions at the considered nodding system accurately. It is shown that the stiffening character of the couple stress size dependency coming from the rotation gradient tensor causes to rise the nonlinear critical stability load and the associated critical shortening of random reinforced composite micropanels. Moreover, for a specific value of the graphene nanofillers volume fraction, by reducing the length to width aspect ratio of them, the role of rotation gradient size dependency in the both critical stability load and critical shortening of an axially compressed random checkerboard reinforced composite micropanel becomes somehow more significant.

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“…The size-dependent motion equations were acquired employing the energy method and D′Alembert's principle. Non-local elasticity theory was also used to obtain the equation of motion of porous nanoplates, taking into consideration von-Kármán non-linear assumption [19,20]. Other than the non-local parameter, thermal loading, geometrical dimensions and porosity are the factors that affect the buckling and vibration of nanostructures [21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Investigation of the effect of viscosity and fluid flow on buckling behaviour of non‐local nanoplate with surface energy

Arpanahi,

Abdehvand,

Sheykhi

et al. 2023

The Journal of Engineering

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The buckling of a nanoplate at the bottom of a channel over which the fluid passes with a one-dimensional flow is investigated in this article. Navier-Stokes equations were used to obtain the applied force from the fluid to the nanoplate. Non-local elasticity theories and surface effects were used to consider nanoscale effects. By solving this problem using Galerkin's weighted residual method, interesting results were obtained. Applying nonlocality increases the fluid's impact on the buckling of a nanoplate. The lower modes are more noticeably affected by being placed in a fluid environment. Also, the presence of fluid and surface effects both increase the buckling capacity of the system. The obtained results are very helpful for developing and improving the performance of fluid-coupled nanostructures that have buckling potential.

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Nonlinear thermal stability and snap-through buckling of temperature-dependent geometrically imperfect graded nanobeams on nonlinear elastic foundation

Cited by 18 publications

References 60 publications

Influence of surface effect on post-buckling behavior of piezoelectric nanobeams

Influence of surface effect on post-buckling behavior of piezoelectric nanobeams

Nonlinear stability of axially compressed couple stress-based composite micropanels reinforced with random checkerboard nanofillers

Investigation of the effect of viscosity and fluid flow on buckling behaviour of non‐local nanoplate with surface energy

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