Dynamic Acoustoelastic Testing (DAET) has been developed to non-invasively assess the nonlinear viscoelastic properties of fluids and solids. We propose a phenomenologically motivated model for harmonic regime to identify nonlinear viscoelastic parameters from DAET experiments. The nonlinear elastic and viscous parameters are derived from the real and imaginary components of the Taylor series expansion of the complex longitudinal modulus. The model is applied to Newtonian fluids that exhibit classical elastic nonlinearities and glass beads saturated with water that exhibit nonclassical viscoelastic nonlinearities. Hysteresis, asymmetry, and DC offset are well accounted for in the model.
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