Half-plane Green`s function for anti-plane elastic 1D hexagonal QCs
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866918205913563136 |
|---|---|
| author | Rangelov, Tsviatko V. Manolis, George D. Dineva, Petia S. |
| author_facet | Rangelov, Tsviatko V. Manolis, George D. Dineva, Petia S. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13354 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Half-plane Green`s function for anti-plane elastic 1D hexagonal QCs Rangelov, Tsviatko V. Manolis, George D. Dineva, Petia S. Analysis of PDEs Materials Science 35J08, 35Q74 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. |
| title | Half-plane Green`s function for anti-plane elastic 1D hexagonal QCs |
| topic | Analysis of PDEs Materials Science 35J08, 35Q74 |
| url | https://arxiv.org/abs/2511.13354 |