Effective Viscoelastic Properties of One-Dimensional Composites
Abstract
Abstract: In this paper, the use of Asymptotic Homogenization Method (AHM) is proposed to solve partial
differential equations that describe the behavior of some viscoelastic heterogeneous materials. The
mathematical statement of the problem is formulated. A theoretical and organized description of the AHM is
exposed. Analytical expressions of the effective properties for heterogeneous viscoelastic materials, using the
Laplace Transform and its inverse, are reported. Various viscoelastic kernels are considered, including
Rabotnov’s fractional-exponential kernel, to describe the behavior of laminate viscoelastic composites. Finally,
numerical results are obtained to validate the use of the method.
