Lateral response of a layered material with interlayer friction

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