Thermal buckling and free vibration analysis of size dependent Timoshenko FG nanobeams in thermal environments

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Effect of various thermal loadings on buckling and vibrational characteristics of nonlocal temperature-dependent functionally graded nanobeams (2016, background): “However, to the authors’ best knowledge, no research dealing with effect of the various thermal loadings on buckling and vibration analysis of FG nanobeams has been reported in the literature except the author’s recent works in presenting an analytical solution for the thermo-mechanical vibration of”
Size-dependent thermo-electrical buckling analysis of functionally graded piezoelectric nanobeams (2015, methodology): “They developed their previous works by analyzing thermal buckling and free vibration behavior of FG nanobeams based on the Timoshenko beam theory, too (Ebrahimi and Salari 2015b).”
Buckling Analysis of Smart Size-Dependent Higher Order Magneto-Electro-Thermo-Elastic Functionally Graded Nanosize Beams (2017, background): “Ebrahimi, F. and Salari, E., “Thermal Buckling and Free Vibration Analysis of Size Dependent Timoshenko FG Nanobeams in Thermal Environments,” Composite Structures, 128, pp. 363380 (2015).”
A review on the mechanics of nanostructures (2018, background): “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 [145-149].”