Anisotropic plates identification through analyses of dynamic behaviour

This manuscript presents an inverse method to identify the constitutive constants of anisotropic homogeneous elastic solids. The data on which the inverse method is essentially based are natural frequencies, whose ease of measurement and quality of the same is well recognized by the technical literature. The main objective is to evaluate the minimum number of engineering constants that can characterize the material. Identifying the engineering constants is justified by their physical significance in the static traction measurements, with which the present dynamic characterization directly compares. The method is theoretically introduced within the framework of classical plate theory and its performances are corroborated by numerical and experimental comparisons. However, the experimental number of tests herein represents the most corroborating aspect of the theoretical predictions. The dynamic characterization is also compared to the static measurements. The Riemannian distance from the closest isotropic modules has assisted in drawing relevant conclusions regarding the materials herein analyzed, which are usually supposed to be isotropic.