  We investigate the mechanical properties of a layered material with
interlayer friction. We propose a model that contains lateral elasticity and
interlayer friction to obtain the response function both in the Fourier and
real spaces. By investigating how the internal deformation is laterally induced
due to the applied surface displacement, we find that it is transmitted into
the material with an apparent phase difference. We also obtain the effective
complex modulus of the layered material and show that it exhibits an
intermediate power-law behavior in the low-frequency regime. Our result can be
used to estimate the internal deformation of layered materials that exist on
various different scales.
