Size-dependent thermal stability analysis of embedded functionally graded annular nanoplates based on the nonlocal elasticity theory

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

doi:10.1016/j.ijmecsci.2016.10.035

Cited by 43 publications

(16 citation statements)

References 41 publications

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“…The nonlocal CPT model was also developed by Mohammadi et al [154] to examine the shear buckling of orthotropic embedded SLGSs in thermal environment. Ashoori et al [155] developed a nonlocal CPT model for thermal buckling of FG annular embedded nanoplates subjected to various types of thermal loads. Exact solutions for critical buckling temperature were also obtained for FG annular nanoplates with clamped BCs.…”

Section: Nonlocal Models Based On Hsdtsmentioning

confidence: 99%

A review of continuum mechanics models for size-dependent analysis of beams and plates

Thai

Nguyen

et al. 2017

Composite Structures

324

112

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This paper presents a comprehensive review on the development of higher-order continuum models for capturing size effects in small-scale structures. The review mainly focus on the size-dependent beam, plate and shell models developed based on the nonlocal elasticity theory, modified couple stress theory and strain gradient theory due to their common use in predicting the global behaviour of small-scale structures. In each higher-order continuum theory, various size-dependent models based on the classical theory, first-order shear deformation theory and higher-order shear deformation theory were reviewed and discussed. In addition, the development of finite element solutions for size-dependent analysis of beams and plates was also highlighted. Finally a summary and recommendations for future research are presented. It is hoped that this review paper will provide current knowledge on the development of higher-order continuum models and inspire further applications of these models in predicting the behaviour of micro-and nano-structures.

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Section: Nonlocal Models Based On Hsdtsmentioning

confidence: 99%

A review of continuum mechanics models for size-dependent analysis of beams and plates

Thai

Nguyen

et al. 2017

Composite Structures

324

112

View full text Add to dashboard Cite

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“…The motivation of the present paper is to extend the analysis on the hygro-thermal bending behavior of porous FG nano-beams, developed in [ 46 ] by using the aforementioned consistent nonlocal gradient formulations, to their dynamic response, against of many articles on the topic in which the hygro-thermal effects on the size-dependent behavior of nanostructures have been analyzed by making recourse to Eringen’s nonlocal model [ 47 , 48 , 49 , 50 , 51 , 52 , 53 ] or Lim’s nonlocal strain gradient theory in [ 54 , 55 , 56 ], more popularities due to their simply differential formulation.…”

Section: Introductionmentioning

confidence: 99%

Hygro-Thermal Vibrations of Porous FG Nano-Beams Based on Local/Nonlocal Stress Gradient Theory of Elasticity

et al. 2021

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In this manuscript the dynamic response of porous functionally-graded (FG) Bernoulli–Euler nano-beams subjected to hygro-thermal environments is investigated by the local/nonlocal stress gradient theory of elasticity. In particular, the influence of several parameters on both the thermo-elastic material properties and the structural response of the FG nano-beams, such as material gradient index, porosity volume fraction, nonlocal parameter, gradient length parameter, mixture parameter is examined. It is shown how the proposed approach is able to capture the dynamic behavior of porous functionally graded Bernoulli–Euler nano-beams under hygro-thermal loads and leads to well-posed structural problems of nano-mechanics.

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“…Buckling characteristics of heated FG annular nanoplates resting on an elastic foundation and subjected to various types of thermal loadings were investigated by Ashoori et al [6]. In their work, an exact analytical solution was introduced for three different types of thermal loadings, and the thermomechanical properties for the FG nanoplate were assumed to follow the power law model.…”

Section: Introductionmentioning

confidence: 99%

Buckling Analysis of Axially Functionally Graded Tapered Nano-Beams Resting on Elastic Foundation Based on Nonlocal Elasticity Theory

Sari¹,

Al‐Kouz²,

Atieh³

2018

SV-JME

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The stability analysis of nonlocal axially functionally graded tapered beams has been investigated. Euler-Bernoulli beams at the micro-or nanoscale are modeled using Eringen's nonlocal elasticity theory. The governing equations are derived using the differential constitutive relations, and the Chebyshev collocation method is utilized to convert the differential equation of motion into a set of algebraic equations. Next, the boundary conditions are applied, and the resulting eigenvalue problem is solved to obtain the critical buckling loads. The effects of the Winkler modulus parameter, the shear modulus parameter, the breadth taper ratio, the height taper ratio, the nonlocal scale coefficient, and the boundary conditions on the critical buckling loads have been studied.

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Size-dependent thermal stability analysis of embedded functionally graded annular nanoplates based on the nonlocal elasticity theory

Cited by 43 publications

References 41 publications

A review of continuum mechanics models for size-dependent analysis of beams and plates

A review of continuum mechanics models for size-dependent analysis of beams and plates

Hygro-Thermal Vibrations of Porous FG Nano-Beams Based on Local/Nonlocal Stress Gradient Theory of Elasticity

Buckling Analysis of Axially Functionally Graded Tapered Nano-Beams Resting on Elastic Foundation Based on Nonlocal Elasticity Theory

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