Convergence properties of eigenfrequencies in RUS

An in-depth exploration of the asymptotic behavior of resonant frequencies in Resonant Ultrasound Spectroscopy (RUS), a non-destructive method for material property evaluation, is presented in this work. This work delves into the asymptotic analysis using Legendre polynomials for cuboid samples and examines the impact of increasing elements on eigenfrequencies. In this examination, we noted various elements concerning the computational boundaries and the influence of diagonal components on the asymptotes. The presence of a boundary for the asymptotes indicates limited information beyond a certain point. Additionally, how elastic constants influence these eigenfrequencies is discussed.