Effective Acoustic Equations for a Layered Material Described by the Fractional Kelvin-Voigt Model

The paper is devoted to the construction of effective acoustic equations for a two-phase layered viscoelastic material described by Kelvin–Voigt model with fractional time derivatives. For this purpose, theory two-scale convergence and Laplace transform respect are used. It shown that partial integro-differential derivatives exponential convolution kernels. In order find coefficients kernels these equations, several auxiliary cell problems formulated solved