Half-plane Green`s function for anti-plane elastic 1D hexagonal QCs
Analysis of PDEs
2025-11-18 v1 Materials Science
Abstract
This paper presents an analytical derivation of a frequency-dependent fundamental solution plus a Green's function for the uni-dimensional, hexagonal quasicrystal sheet subjected to elastic waves under anti-plane strain conditions. Furthermore, closed-form solutions for the free-fields developing in this sheet for propagating shear waves are also obtained. The analysis presented here provides a foundation for understanding quasicrystal dynamic behavior and for advancing relevant computational methods.
Cite
@article{arxiv.2511.13354,
title = {Half-plane Green`s function for anti-plane elastic 1D hexagonal QCs},
author = {Tsviatko V. Rangelov and George D. Manolis and Petia S. Dineva},
journal= {arXiv preprint arXiv:2511.13354},
year = {2025}
}
Comments
10 pages