[SY-J2] Dynamic homogenization for acoustic metamaterials
A variational coarse-graining framework for heterogeneous media in the spirit of FE^2 methods is proposed, which allows for a seamless transition from the traditional static scenario to dynamic loading conditions, while being applicable to general material behavior. The method automatically delivers the coarse-grained macroscopic equations of motion together with a computational multiscale solver. Newmark method is employed for the time discretization, and excellent accuracy, stability, and computational time saving have been certified through the comparison with the standard single scale finite element solver. In addition, the capability of the multiscale solver to capture wave scattering has been demonstrated by the simulations in locally resonant sonic materials.