Table 1.

Phononic material constants.

Radius of the sphere	$R=0.2m$
Micro-inertia density	$J=2d^2/5$
Micro-moduli	${\lambda }_m=406GPa,{\mu }_m=273.1GPa,$
Macro-moduli	$\lambda =406GPa,\mu =273.1GPa,$
Mass density	${\rho }_m=27000kg/m^3,\rho =2700kg/m^3,$
Coupling moduli	${\lambda }_c=-0.9{\lambda }_e,{\mu }_c=-0.9{\mu }_e,$
Length scales	${\ell }_1=0,{\ell }_2=0.0125m,$
the rule of mixture	${\lambda }_e=f{\lambda }_m+\left(1-f\right)\lambda ,$
	${\mu }_e=f{\mu }_m+(1-f)\mu ,$
The applied force	$q_r=30N.$