Research Information System
JOURNAL OF THERMAL STRESSES, vol.2145401, pp.1-21, 2022 (SCI-Expanded)
This manuscript aims to research the thermal buckling of saturated thick
(Timoshenko) nanobeams under different boundary conditions using
Fourier sine and cosine series for the first time. The equation of motion
and related boundary conditions are derived by using the kinematic relations of shear deformation (Timoshenko beam) theory to contain the shear
effect. Consequently, the rotary inertia and transverse shear strain are considered through the mathematical analysis. Fourier sine and cosine series
are used to compute the critical buckling temperature of the thick saturated nanobeam with deformable boundaries. To check the validity of the
presented method, the developed Fourier series method with Stokes’
transformation is applied to validate the thermal buckling of rigidly supported thick nanobeam by giving the proper values to spring parameters.
In particular, the presented analytical procedure can also be degenerated
to the thin Euler-Bernoulli nanobeam by assigning proper value to shear
correction factor. Influence of the deformable boundary conditions, small
scale parameter and the saturated parameter (porosity coefficient) on the
thermal buckling temperature are discussed in detail. The theoretical models and eigen-value formulation presented herein should also be served to
solve the thermal stability response of different micro sized-structures with
various temperature effects and supporting conditions