Nonlinear thermal behavior of shear deformable FG porous nanobeams with geometrical imperfection: Snap-through and postbuckling analysis

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

doi:10.1016/j.ijmecsci.2020.105615

Cited by 24 publications

(3 citation statements)

References 54 publications

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“…For instance, the nonlinear free and forced vibration analysis of the FG nanobeams embedded on an elastic substrate were performed by Trabelssi et al [79], who utilized the method of multiple scales to discretize the motion equations. Salari et al [80,81] investigated the thermo-mechanical behavior of the post-buckling and static snap-through buckling characteristics of the FG nanobeams with porosities by means of the Timoshenko and Euler-Bernoulli beam models. In addition, Jin and Ren [82] presented the nonlocal strain gradient and surface elasticity theories for nonlinear modeling of bending and forced vibration responses of the pre/post-buckled fluid-conveying FG nanotubes.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic buckling and vibration of thermally post-buckled temperature-dependent FG porous nanobeams based on the nonlocal theory

Salari

Ashoori²,

Vanini³

et al. 2022

Phys. Scr.

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In this paper, nonlinear dynamic snap-through buckling and vibration behavior of the thermally post-buckled functionally graded (FG) porous nanobeams subjected to static and sudden mechanical loads are investigated utilizing the nonlocal elasticity theory. The physical properties of the nanobeam are considered to be functions of temperature based on the Touloukian model. In addition, to describe the FG porous materials, two different patterns of porosity distribution are adopted using trigonometric functions through the thickness of the nanobeam. The equations of motion in conjunction with the von-K ́arm ́an nonlinear assumption are established in the framework of Hamilton’s principle. By employing the Chebyshev-Ritz procedure, the nonlinear equations are discretized for three types of edge supports. Following that, the cylindrical arc-length technique is employed to assess the vibrational responses of the post-buckled nanobeam during static snap-through buckling. To evaluate the nonlinear dynamic buckling of the graded nanobeam under a sudden dynamic load, the Newmark time integration scheme together with the Newton-Raphson iterative method are utilized. Next, by means of the Budiansky-Roth criterion and the phase-plane approach, the dynamic snap-through loads are identified. After validating the developed mathematical model, a comprehensive investigation is carried out to determine the role of various physical and geometrical parameters on the dynamic snap-through buckling and vibration characteristics of the post-buckled FG nanobeams.

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Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic buckling and vibration of thermally post-buckled temperature-dependent FG porous nanobeams based on the nonlocal theory

Salari

Ashoori²,

Vanini³

et al. 2022

Phys. Scr.

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“…Mirjavadi et al [28] presented a study on the thermal buckling behavior of two-dimensional imperfect FGM microscaletapered porous beams within the framework of classical beam theory and based on the generalized differential quadrature method. Based on the nonlocal elasticity theory, Timoshenko beam model and the Chebyshev-based Ritz procedure, Salari et al [29] analyzed the nonlinear behavior of thermally preloaded graded porous nanobeams. Ziane et al [30] predicted the thermal buckling of P-FGM box beams by analytical method and Euler-Bernoulli hypotheses.…”

Section: Introductionmentioning

confidence: 99%

Archive of Mechanical Engineering

Hung

Tú

Duc

2022

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Thermally induced free vibration of sandwich beams with porous functionally graded material core embedded between two isotropic face sheets is investigated in this paper. The core, in which the porosity phase is evenly or unevenly distributed, has mechanical properties varying continuously along with the thickness according to the power-law distribution. Effects of shear deformation on the vibration behavior are taken into account based on both third-order and quasi-3D beam theories. Three typical temperature distributions, which are uniform, linear, and nonlinear temperature rises, are supposed. A mesh-free approach based on point interpolation technique and polynomial basis is utilized to solve the governing equations of motion. Examples for specific cases are given, and their results are compared with predictions available in the literature to validate the approach. Comprehensive studies are carried out to examine the effects of the beam theories, porosity distributions, porosity volume fraction, temperature rises, temperature change, span-to-height ratio, different boundary conditions, layer thickness ratio, volume fraction index on the vibration characteristics of the beam.

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“…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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Nonlinear thermal behavior of shear deformable FG porous nanobeams with geometrical imperfection: Snap-through and postbuckling analysis

Cited by 24 publications

References 54 publications

Nonlinear dynamic buckling and vibration of thermally post-buckled temperature-dependent FG porous nanobeams based on the nonlocal theory

Nonlinear dynamic buckling and vibration of thermally post-buckled temperature-dependent FG porous nanobeams based on the nonlocal theory

Archive of Mechanical Engineering

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

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