Lazar, Markus ; Michelitsch, Thomas ; Agiasofitou, Eleni (2024)
Three-Dimensional Green Tensor of One-Dimensional Hexagonal Quasicrystals.
In: Crystals, 2024, 14 (12)
doi: 10.26083/tuprints-00028850
Artikel, Zweitveröffentlichung, Verlagsversion
Kurzbeschreibung (Abstract)
In this work, the elastic 4×4 Green tensor of one-dimensional quasicrystals is given and has phonon, phason and phonon–phason coupling components. Using the residue method, a closed-form expression of the elastic 4×4 Green tensor for one-dimensional hexagonal quasicrystals of Laue class 10, which possess 10 independent material constants, is derived. The 10 independent components of the obtained 4×4 Green tensor are numerically presented in contour plots, revealing features of anisotropy as well as the interesting result that the phason component of the Green tensor has the strongest contribution in comparison with all the other components. In the case of vanishing phonon–phason coupling, the phonon part of the derived Green tensor reproduces Kröner’s well-known elastic 3×3 Green tensor for hexagonal crystals. The analytical closed-form expression of the derived Green tensor provides an advantage for efficient computational calculations in various applications.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2024 |
| Autor(en): | Lazar, Markus ; Michelitsch, Thomas ; Agiasofitou, Eleni |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Three-Dimensional Green Tensor of One-Dimensional Hexagonal Quasicrystals |
| Sprache: | Englisch |
| Publikationsjahr: | 10 Dezember 2024 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | Dezember 2024 |
| Ort der Erstveröffentlichung: | Basel |
| Verlag: | MDPI |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Crystals |
| Jahrgang/Volume einer Zeitschrift: | 14 |
| (Heft-)Nummer: | 12 |
| Kollation: | 20 Seiten |
| DOI: | 10.26083/tuprints-00028850 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/28850 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | In this work, the elastic 4×4 Green tensor of one-dimensional quasicrystals is given and has phonon, phason and phonon–phason coupling components. Using the residue method, a closed-form expression of the elastic 4×4 Green tensor for one-dimensional hexagonal quasicrystals of Laue class 10, which possess 10 independent material constants, is derived. The 10 independent components of the obtained 4×4 Green tensor are numerically presented in contour plots, revealing features of anisotropy as well as the interesting result that the phason component of the Green tensor has the strongest contribution in comparison with all the other components. In the case of vanishing phonon–phason coupling, the phonon part of the derived Green tensor reproduces Kröner’s well-known elastic 3×3 Green tensor for hexagonal crystals. The analytical closed-form expression of the derived Green tensor provides an advantage for efficient computational calculations in various applications. |
| Freie Schlagworte: | quasicrystals, Green tensor, one-dimensional hexagonal quasicrystals, residue method |
| ID-Nummer: | Artikel-ID: 1034 |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-288506 |
| Zusätzliche Informationen: | This article belongs to the Section: Crystalline Metals and Alloys |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 530 Physik 600 Technik, Medizin, angewandte Wissenschaften > 624 Ingenieurbau und Umwelttechnik |
| Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Kontinuumsmechanik 05 Fachbereich Physik 05 Fachbereich Physik > Institut für Physik Kondensierter Materie (IPKM) |
| Hinterlegungsdatum: | 10 Dez 2024 13:37 |
| Letzte Änderung: | 11 Dez 2024 06:37 |
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