On the dynamic behavior of honeycomb-based composite solids (Q1575047)

The authors describe the dynamic behavior of honeycomb-based composite solids consisting of a honeycomb-reinforced lattice immersed in isotropic homogeneous matrix. Assuming a sufficiently large displacement pattern, the authors calculate averaged values of strain and kinetic energy densities. The overall response of the medium is found to be isotropic under the large wavelength assumptions. The authors also derive the governing equations for dispersive dilatational and shear waves, and give their velocities. For this system, the authors obtain an asymptotic formula for lower and higher vibration frequencies.