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arXiv · 2203.05832

Homogenization of one-dimensional layered and graded structures

Michael B. Muhlestein·Alexei T. Skvortsov
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Abstract

The homogenization of one-dimensional acoustic or elastic structures of finite extent is considered. A new homogenization method based on transfer matrices is derived. The new homogenization method may account for variable cross sectional area and for Willis coupling, which couples the stress-strain and momentum-velocity constitutive relations. The homogenization method is then demonstrated by considering acoustic waves normally incident upon a rigidly-backed double-layered wall and plane waves propagating in a duct with a section of exponentially-growing cross-sectional area.

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Michael B. Muhlestein, Alexei T. Skvortsov. 2022-03-11. Homogenization of one-dimensional layered and graded structures. https://arxiv.org/abs/2203.05832

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