Homogenization of stratified elastic media with high contrast

TL;DR

This paper investigates the asymptotic behavior of elastic wave solutions in layered media with high contrast, deriving limit equations that include bending effects, and extends the analysis to stochastic homogenization.

Contribution

It introduces a novel analysis of high-contrast stratified elastic media, including non-periodic and stochastic homogenization approaches.

Findings

Derivation of limit equations with bending effects

Extension to non-periodic and stochastic media

Asymptotic characterization of solutions in high contrast layers

Abstract

We determine the asymptotic behavior of the solutions to the linear elastodynamic equations in a stratified medium comprising an alternation of possibly very stiff layers with much softer ones, when the thickness of the layers tends to zero. The limit equations may depend on higher order terms, characterizing bending effects. A part of this work is set in the context of non-periodic homogenization and an extension to stochastic homogenization is presented.