2017/06/20 by Mohammad Reza Zamani Kouhpanji, Kouhpanji, Mohammad Reza Zamani, Usef Jafaraghaei +1
Materials Science · Physics and Astronomy · #Boron and Carbon Nanomaterials Research #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Mechanical and Optical Resonators #Nonlocal and gradient elasticity in micro/nano structures #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.1706.06559
13 pages and 4 figures
arxiv created 2017/06/20 · openalex publication_date 2017/06/20 · arxiv updated 2017/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, a semianalytical approach for demonstrating elastic waves propagation in nanostructures has been presented based on the modified couple-stress theory including acceleration gradients. Using the experimental results and atomic simulations, the static and dynamic length scales were calculated for several materials, zinc oxide (ZnO), silicon (Si), silicon carbide (SiC), indium antimonide (InSb), and diamond. To evaluate the predicted static and dynamic length scales as well as the presented model, the natural frequencies of a beam in addition to the phase velocity and group velocity of Si were studied and compared with the available static length scales, estimated using strain-gradient theory without considering acceleration gradients. These three criteria, natural frequency, phase velocity, and group velocity, show that the presented model is dynamically stable even for larger wavevector values. Furthermore, it is explained why the previous works, which all are based on the strain-gradient theory without acceleration gradients, predicted very small values for the static length scale in the longitudinal direction rather than the static length scale in the transverse directions.