Buckling of nanobeams under nonuniform temperature based on nonlocal thermoelasticity

Yu, Yajun; Xue, Zhangna; Li, Chen-Lin; Tian, Xiaogeng

doi:10.1016/j.compstruct.2016.03.014

Cited by 68 publications

(12 citation statements)

References 48 publications

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“…It has been shown that the critical buckling load of different types of nanobeams such as CNTs and non-homogeneous nanobeams is sensitive to temperature changes [145][146][147][148][149]. Figure 15 shows temperature effects on the linear stability of CNTs.…”

Section: 3c Size-dependent Buckling Of Nanobeamsmentioning

confidence: 99%

A review on the mechanics of nanostructures

Farajpour

Ghayesh

Farokhi

2018

International Journal of Engineering Science

201

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Understanding the mechanical behaviour of nanostructures is of great importance due to their applications in nanodevices such as in nanomechanical resonators, nanoscale mass sensors, electromechanical nanoactuators and nanogenerators. Due to the difficulties of performing accurate experimental measurements at nanoscales and the high computational costs associated with the molecular dynamics simulations, the continuum modelling of nanostructures has attracted a considerable amount of attention. Since size influences have a crucial role in the mechanics of structures at nanoscale levels, classical continuum-based theories have been modified to incorporate these effects. Among various modified continuum-based theories, the nonlocal elasticity and the nonlocal strain gradient elasticity have been employed to estimate the mechanical behaviour of nanostructures. In this review paper, first these two modified elasticity theories are briefly explained. Then, the nonlocal motion equations for different nanostructures including nanorods, nanorings, nanobeams, nanoplates and nanoshells are derived. Several papers which reported on the size-dependent mechanical behaviour of nanostructures using modified continuum models are reviewed. Furthermore, important results reported on the vibration, bending and buckling of nanostructures as well as the results of size-dependent wave propagation analyses are discussed.

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Section: 3c Size-dependent Buckling Of Nanobeamsmentioning

confidence: 99%

A review on the mechanics of nanostructures

Farajpour

Ghayesh

Farokhi

2018

International Journal of Engineering Science

201

View full text Add to dashboard Cite

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“…Buckling analysis of nanobeam is significantly important for design of nano-mechanical structures. This issue is investigated by Jun et al [32] with the aid of Technical Editor: João Marciano Laredo dos Reis. size-dependent model and size effect of heat conduction on buckling property.…”

Section: Introductionmentioning

confidence: 99%

A two-unknown nonlocal shear and normal deformations theory for buckling analysis of nanorods

Zenkour

2020

J Braz. Soc. Mech. Sci. Eng.

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The present article presents a simple nonlocal two-unknown shear and normal deformation beam theory to discuss the buckling response of nanorods. The theory uses two variables only and takes under consideration the small-scale impact as well as the inclusion of both shear and normal deformations. The equilibrium equations and end conditions are gained utilizing the principle of virtual work. Different end conditions like pinned, clamped and free are studied. The critical buckling loads are obtained for axially loaded nanorods with different end conditions. The significant of small-scale, shear and normal deformation parameters are investigated. Some validation examples are presented, and the sensitivity of all parameters on the critical and other buckling loads of nanorods may be observed.

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“…In the statical analysis, buckling of nonlocal functionally graded beams under thermal loading is frequently addressed, starting from the early contribution in [22] till more recent contributions [23][24][25][26][27]. Mainly nonlocal influence on the mechanical part of the problem is investigated, but buckling caused by the size effect on heat conduction is also analysed [28]. Another recent contribution [29] points out the difference in original and simplified boundary conditions in vibrational and buckling analyses of FG beams in nonisothermal environments.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal integral thermoelasticity: A thermodynamic framework for functionally graded beams

Barretta

Čanađija

Sciarra

2019

Composite Structures

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An effective nonlocal integral formulation for functionally graded Bernoulli-Euler beams in nonisothermal environment is developed. Both thermal and mechanical loadings are accounted for. The proposed model, of stress-driven integral type, is shown to be governed by a thermodynamically consistent differential problem with proper constitutive boundary conditions. The new thermoelastic strategy is illustrated by investigating a set of examples. It is demonstrated that in nonisothermal statically indeterminate problems rather complex structural behaviours can appear and that both the shift of the neutral surface and nonlocality have a dominating influence at small-scales.

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Buckling of nanobeams under nonuniform temperature based on nonlocal thermoelasticity

Cited by 68 publications

References 48 publications

A review on the mechanics of nanostructures

A review on the mechanics of nanostructures

A two-unknown nonlocal shear and normal deformations theory for buckling analysis of nanorods

Nonlocal integral thermoelasticity: A thermodynamic framework for functionally graded beams

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