Three-Dimensional and Two-Dimensional Green Tensors of Piezoelectric Quasicrystals
| Autor: | Markus Lazar, Eleni Agiasofitou |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Crystals, Vol 14, Iss 10, p 835 (2024) |
| Druh dokumentu: | article |
| ISSN: | 14100835 2073-4352 |
| DOI: | 10.3390/cryst14100835 |
| Popis: | In this work, within the framework of the linear piezoelectricity theory of quasicrystals, the three-dimensional and two-dimensional Green tensors for arbitrary piezoelectric quasicrystals are derived. In the piezoelectricity of quasicrystals, where phonon, phason and electric fields exist, we introduce the corresponding multifields by developing a hyperspace notation for piezoelectric quasicrystals. Using Fourier transform and the multifield formalism, the three-dimensional Green tensor for piezoelectric quasicrystals as well as its spatial gradient necessary for applications, are derived. The solutions for the “displacement”, “distortion” and “stress” multifields in the presence of a “force” multifield in a piezoelectric quasicrystal as well as the solution of the generalised Kelvin problem, are given. In addition, the two-dimensional Green tensors of piezoelectric quasicrystals as well as of quasicrystals, are determined. |
| Databáze: | Directory of Open Access Journals |
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