Homogenized enriched model for blast wave propagation in metaconcrete with viscoelastic compliant layer

In this contribution, a reduced-order homogenization approach is adopted and extended to incorporate the linear viscoelasticity effect. A homogenized enriched model emerges from the homogenization framework, which is utilized here for the analysis of blast wave propagation in metaconcrete with linear viscoelastic compliant layer(s). A semidiscrete equation of motion for the unit cell is first extracted for micro-macro transition, through a series of transformations to effect the periodic boundary conditions and model reduction, respectively. The ensuing microbalance and macrobalance of momenta are next subjected to spatial and temporal discretizations toward a system of equations to be solved numerically. The predictive capability of the proposed model is demonstrated through a series of benchmark examples involving several metaconcrete variants. It is observed that the dual resonator configuration achieves a greater extent of wave attenuation than the single resonator counterpart.