Lateral response of a layered material with interlayer friction

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 results can be used to estimate the internal deformation of layered materials that exists on various different scales.

Automated summary

We investigate the mechanical properties of layered materials with interlayer friction and propose a model that includes lateral elasticity and interlayer friction. Our results show an apparent phase difference in the transmission of internal deformations and reveal an intermediate power-law behavior in the low-frequency regime of the effective complex modulus. These findings are important for estimating internal deformations in layered materials at different scales.