Dynamic Elastic Constant Determination via Measurement of the Acoustic Field Scattered by a Spherical Elastomer: Theory

摘要

A technique is presented whereby dynamic elastic constants may be calculated by solving the inverse scattering problem of an infinite plane wave incident on a spherical elastomer. A least-squares approach is used to find the best values for the elastic constants that are consistent with measured scattered pressures. Relationships are provided that allow approximate calculation of the bulk and shear moduli to be performed using only the first few scattering constants. Difficulties and limitations in experimentally implementing the method herein described are discussed, and potential resolutions of these difficulties are presented. (Author)