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

摘要

我们研究了具有层间摩擦的层状材料的机械性能。我们提出了一个包含横向弹性和层间摩擦的模型，以获得傅里叶和真实空间中的响应函数。通过研究由于施加的表面位移如何横向引起内部变形，我们发现它以明显的相位差传递到材料中。我们还获得了层状材料的有效复数模量，并表明它在低频范围内表现出中间幂律行为。我们的结果可用于估计存在于各种不同尺度上的层状材料的内部变形。