Buckling analysis of functionally graded nanobeams under non-uniform temperature using stress-driven nonlocal elasticity

Xu, Chi; Li, Yang; Lu, Mingyue; Zhang, Dai

doi:10.1007/s10483-022-2828-5

Cited by 12 publications

(2 citation statements)

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“…Zhang et al [21] investigated buckling of Bernoulli-Euler beams under non-uniform temperature based on a two-phase non-local integral model. Xu et al [22] discussed buckling of functionally graded nano-beams under non-uniform temperature using stress-driven non-local elasticity. These literature reviews clearly showed that mechanical behaviors of micro/nano-beams are significantly affected by thermoelastic coupling.…”

Section: Introductionmentioning

confidence: 99%

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A Buckling Analysis of Thermoelastic Micro/Nano-Beams Considering the Size-Dependent Effect and Non-Uniform Temperature Distribution

Ren,

Shi

2023

Materials

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Thermoelastic buckling of micro/nano-beams subjected to non-uniform temperature distribution is investigated in this paper. The mechanical governing equation is derived based on the surface effect and mechanical non-local effect. The non-local heat conduction model is used to predict temperature distribution in micro/nano-beams. Therefore, the obtained analytical solution can be used to analyze the influence of both the mechanical and thermal small scale effects on buckling of thermoelastic micro/nano-beams. In numerical simulations, a critical thickness is proposed to determine the influence region of both mechanical and thermal small scale effects. The influence of a small scale effect on buckling of micro/nano-beams must be considered if beam thickness is less than the critical thickness. In the influence region of a small scale effect, a surface effect has strong influence on the size-dependent buckling behavior, rather than mechanical and thermal non-local effects. Moreover, combined small scale effects, i.e., a surface effect and both mechanical and thermal non-local effects, lead to a larger critical load. Additionally, the influence of other key factors on buckling of the micro/nano-beams is studied in detail. This paper provides theoretical explanation to the buckling behaviors of micro/nano-beams under a non-uniform temperature distribution load.

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Section: Introductionmentioning

confidence: 99%

“…Note that the external axial load P is written as P cr−θ as it equals the critical load. Equation (22) indicates that the thermal effect and mechanical non-local effect reduce the critical load. However, the surface effect increases the critical load.…”

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confidence: 99%