Influence of Inertia on the Microscale in Homogenization

Abstract When calculating effective dynamical properties of a material, inertia on the microscale is usually neglected. Here, contrary to these approaches, inertia effects are taken into account, leading to a frequency dependent microscopic behavior. Thus, a frequency dependent macroscopic constitutive equation is required. Therefore, a viscoelastic constitutive equation is applied on the macroscale. The material parameters are found using an Evolutionary Strategy. In the 1‐D case, system responses on the micro‐ and macroscale show a good agreement in a frequency range from 0 up to the first eigenfrequency of the microstructure. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)