Thermal vibration and buckling of magneto-electro-elastic functionally graded porous nanoplates using nonlocal strain gradient elasticity

Esen, İsmail; Özmen, Ramazan

doi:10.1016/j.compstruct.2022.115878

Cited by 60 publications

(15 citation statements)

References 70 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Scholar have studied macro, micro, or nano FG material structures with different forms or effects. Some researchers have analyzed these structures with porosity [31][32][33][34][35][36][37][38][39][40][41][42][43], cracks [44,45], foundation effects [46][47][48], thermal effect [49,50], and combined effects [51][52][53][54][55][56][57][58][59][60]. As can be understood, the analysis of structural elements consisting of FG composite materials has attracted considerable attention.…”

Section: Introductionmentioning

confidence: 99%

An eigenvalue solution for nonlocal vibration of guide supported perfect/imperfect functionally graded power‐law and sigmoid nanobeams on one‐parameter elastic foundation

2023

View full text Add to dashboard Cite

To the best of the authors' knowledge, this study for the first time, proposes a finite element (FE) model to investigate the size-dependent vibrational responses of guide supported imperfect functionally graded (FG) nonlocal beams embedded in an elastic foundation in the context of nonlocal elasticity theory (NET). The main objective of this paper is to present a nonlocal FE solution for vibration analysis of imperfect FG nanobeams including nonlocal effect, power-law distribution function, sigmoid distribution function, even porosity model, uneven porosity model, elastic foundation parameter, and guide support condition. It is considered that perfect/imperfect FG nanobeams are made of silicon carbide (SiC) and aluminum (Al) and that beam properties vary along the height direction. In addition, the nanobeams rest on a one-parameter elastic foundation and this foundation provides the interaction between the structure and the soil with elastic springs. The frequency values of perfect/imperfect FG power-law and sigmoid nanobeams obtained by using a nonlocal FE method are shown via tables and figures.

show abstract

Section: Introductionmentioning

confidence: 99%

An eigenvalue solution for nonlocal vibration of guide supported perfect/imperfect functionally graded power‐law and sigmoid nanobeams on one‐parameter elastic foundation

2023

View full text Add to dashboard Cite

show abstract

“…In order to model and explore the thermal vibration and buckling behaviour of a porous nanoplate, Esen and Ozmen [30] assumed the causes of strains to be thermal expansion, electrostatic and magnetostrictive features. Non-linear thermal loading has a noticeable influence on the dynamic behaviour of small-scale structures [31].…”

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

View full text Add to dashboard Cite

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.

show abstract

“…Stability of nonlinear beam has been presented by Li and Hu 7 via NSG theory. Esen and Özmen 8 have proposed the thermoelastic dynamic response of porosity and FGM dependent magneto-electro-elastic nanoplate by using NSG theory. Farajpour et al 9 have investigated the buckling response of orthotropic nanoscale plates with thermal effect by using NSG theory.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of arbitrary restrained nanobeam embedded in an elastic medium via nonlocal strain gradient theory

Uzun

Yaylı

2023

The Journal of Strain Analysis for Engineering Design

View full text Add to dashboard Cite

A novel stability model is analytically reformulated for the nano-sized beam resting on a one-parameter elastic foundation. The stability solution is based on the nonlocal strain gradient elasticity theory. To corporate the small size effects, two small scale parameters are introduced. The six-order ordinary differential form of the buckling equation, together with two force boundary conditions, are utilized to examine the stability equation in terms of lateral deflection. The infinite terms of linear equations are discretized with the help of the Stokes’ transformation and Fourier sine series. The present work can investigate the effects of elastic spring parameters at the ends, nonlocal properties, elastic medium properties, strain gradient parameter, and buckling behavior of the nanobeam. The predictions of the proposed analytical model with deformable boundary conditions are in agreement with those available in the scientific literature for the nanobeam on elastic foundation based on a closed form of solution. The presence of the deformable conditions, elastic foundation, nonlocal, and strain gradient properties change the buckling loads and buckling mode shapes.

show abstract

Thermal vibration and buckling of magneto-electro-elastic functionally graded porous nanoplates using nonlocal strain gradient elasticity

Cited by 60 publications

References 70 publications

An eigenvalue solution for nonlocal vibration of guide supported perfect/imperfect functionally graded power‐law and sigmoid nanobeams on one‐parameter elastic foundation

An eigenvalue solution for nonlocal vibration of guide supported perfect/imperfect functionally graded power‐law and sigmoid nanobeams on one‐parameter elastic foundation

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

Stability analysis of arbitrary restrained nanobeam embedded in an elastic medium via nonlocal strain gradient theory

Contact Info

Product

Resources

About