Lateral response of a layered material with interlayer friction

TL;DR

This paper models the lateral mechanical response of layered materials with interlayer friction, revealing phase differences and power-law behavior in their effective complex modulus, useful for understanding internal deformation across scales.

Contribution

It introduces a new model combining lateral elasticity and interlayer friction to analyze the response function of layered materials in both Fourier and real spaces.

Findings

Internal deformation transmits with phase difference

Effective complex modulus shows power-law behavior at low frequencies

Model applicable to layered materials across various scales

Abstract

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.