Method for Estimating the Mechanical Properties of a Solid Material Subjected to Significant Compressional Forces - Part I: Numerical Theoretical Solution for a Single Thick Plate.

摘要

This report develops a technique for measuring (or estimating) the complex frequency-dependent dilatational and shear wavenumbers of a single slab of material subjected to large static compressional forces, The method employs two transfer functions that are obtained by vibrating the mass-loaded material in both the vertical and horizontal directions, Once this process is accomplished, the transfer functions are merged with a theoretical model and displayed as analytical surfaces from which the dilatational and shear wavenumbers can be identified and estimated, These wavenumbers are then combined to determine complex dilatational wavespeed, complex shear wavespeed, complex Lamb constants, complex Young's modulus, complex shear modulus, and complex Poisson's ratio.