stability of micro-beam including higher-order beam theories under thermal and mechanical forces

 

this paper investigatesthe effects of thermal load and shear force on the buckling of nanobeams. higher-order shear deformation beam theoriesare implementedand their predictions of the critical buckling load and post-buckled configurations are compared to those ofeuler-bernoulli and timoshenkobeam theories.the eringen model for nonlocal elasticity is adopted to account formaterial discontinuity at the nano-scale and analytical solutionsfor critical buckling loads and post-buckling configurations are derived for each beam theory. results show that thermal loadhas a more significant impact on the buckling behavior ofsimply-supported beams (s-s) than it has onclamped-clamped (c-c)beams. however, the nonlocal effect has more impact on c-c beams that it does on s-s beams. moreover, it was found that the predictions obtained fromtimoshenko beam theoryare identical to those obtained using all higher-order shear deformation theories, suggesting that timoshenko beam theory is sufficientto analyze buckling in nanobeams.