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

doi:10.1007/s10483-022-2828-5

Abstract

Abstract: In this work, the size-dependent buckling of functionally graded (FG) Bernoulli-Euler beams under non-uniform temperature is analyzed based on the stress-driven nonlocal elasticity and nonlocal heat conduction. By utilizing the variational principle of virtual work, the governing equations and the associated standard boundary conditions are systematically extracted, and the thermal effect, equivalent to the induced thermal load, is explicitly assessed by using the nonlocal heat conduction law. The stress-driven constitutive integral equation is equivalently transformed into a differential form with two non-standard constitutive boundary conditions. By employing the eigenvalue method, the critical buckling loads of the beams with different boundary conditions are obtained. The numerically predicted results reveal that the growth of the nonlocal parameter leads to a consistently strengthening effect on the dimensionless critical buckling loads for all boundary cases. Additionally, the effects of the influential factors pertinent to the nonlocal heat conduction on the buckling behavior are carefully examined.

Key words: size effect, stress-driven nonlocal model, constitutive boundary condition, nonlocal heat conduction, functionally graded (FG) beam, buckling load

2010 MSC Number:

74K10

Chi XU, Yang LI, Mingyue LU, Zhendong DAI. Buckling analysis of functionally graded nanobeams under non-uniform temperature using stress-driven nonlocal elasticity. Applied Mathematics and Mechanics (English Edition), 2022, 43(3): 355-370.

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References

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