A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams

• Review article of the state-of-the-art of the bending, buckling, vibration, and wave propagation of small-size beams.
• Key findings have been highlighted.
• Possible research opportunities for future work have been identified.

The enabling emerging technologies such as nanotechnology increased the demand for small-size devices. The proper understanding of the nonclassical behavior of nanostructures is key for the design of these devices. As a result, the static and dynamic behavior of nanoscale beam structures has received a great attention in the past few years. This review aims at directing the light to research work concerned with bending, buckling, vibrations, and wave propagation of nanobeams modeled according to the nonlocal elasticity theory of Eringen. Due to the large body of references found in the literature, the authors chose to briefly present the key findings and challenges and direct light to possible future work. This review does not intersect with recent relevant reviews, which reflects its significance to readers.