The work described in this study develops an inverse method designed to obtain the complex dilatational and complex shear wavespeeds of a material from physical test data. The inverse method is devised from a recently established forward model that explicitly predicts the echo reduction and insertion loss of a material at any wavenumber and frequency given the correct material properties. The forward model has closed-form equations that completely describe the system physics of a submerged material. The inverse method incorporates this model and physical test data into a Newton-Raphson iteration to obtain the complex dilatational and complex shear wavespeeds of a material. The complex wavespeeds are then used to obtain the material Lame constants. The inverse method developed provides the critical link needed between the test data and analytical modeling.
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