On wave propagation in viscoelastic media with concave creep compliance

TL;DR

This paper proves that in viscoelastic media with a specific type of creep compliance, the wave attenuation function grows slower than linearly at high frequencies, revealing important properties of wave behavior.

Contribution

It establishes a mathematical proof linking the concavity of creep compliance to sublinear attenuation in viscoelastic media.

Findings

Attenuation function is sublinear at high frequencies.

Creep compliance's concavity influences wave attenuation.

Provides theoretical insight into wave propagation in viscoelastic materials.

Abstract

It is proved that the attenuation function of a viscoelastic medium with a non-decreasing and concave creep compliance is sublinear in the high frequency range.