Spectral patterns of elastic transmission eigenfunctions: boundary localisation, surface resonance and stress concentration
Analysis of PDEs
2022-12-01 v1
Abstract
We present a comprehensive study of new discoveries on the spectral patterns of elastic transmission eigenfunctions, including boundary localisation, surface resonance, and stress concentration. In the case where the domain is radial and the underlying parameters are constant, we give rigorous justifications and derive a thorough understanding of those intriguing geometric and physical patterns. We also present numerical examples to verify that the same results hold in general geometric and parameter setups.
Keywords
Cite
@article{arxiv.2211.16729,
title = {Spectral patterns of elastic transmission eigenfunctions: boundary localisation, surface resonance and stress concentration},
author = {Yan Jiang and Hongyu Liu and Jiachuan Zhang and Kai Zhang},
journal= {arXiv preprint arXiv:2211.16729},
year = {2022}
}