Abstract
In this paper, a general-purpose computational model for dispersive wave propagation in heterogeneous media is developed. The model is based on the higher-order homogenization with multiple spatial and temporal scales and the C0-continuous mixed finite element approximation of the resulting nonlocal equations of motion. The proposed nonlocal Hamilton principle leads to the stable discrete system of equations independent of the mesh size, unit cell domain and the excitation frequency. The method has been validated for plane harmonic analysis and for transient wave motion insemi-infinite domain with various microstructures.
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