A modified couple stress model to analyze the effect of size dependence on thermal interactions in rotating nanobeams whose properties change with temperature

In this article, the importance of studying the behavior of small-scale rotating materials and structures is highlighted for its valuable contribution to many scientific and engineering fields. As a result, these types of microbeams have been studied using nonlocal elasticity theory (NET) and modified couple stress (MCST) models, as well as Euler–Bernoulli assumptions for thin beams. The temperature-dependent heat conduction model and the Moore–Gibson–Thompson (MGT) model of heat transfer are also integrated. The effects of nonlocal properties, length scale, thermal conductivity factor fluctuation, the angular velocity of rotation, and thermal parameters on the behavior of the studied variables were investigated. The results were validated and applicable, and the data were systematically compared with previous literature and other investigators. The results show that the materials behave differently at the nanoscale than the results of the usual continuum mechanics approach due to taking into account nonlocal and length-scale effects.