Deriving Fundamental Solutions for Equations of Elastodynamics in Three-Dimensional Cubic Quasicrystals |
H. Çerdik Yaslan
Department of Mathematics, Pamukkale University, Denizli, 20070, Turkey |
Received: April 25, 2019; revised version May 10, 2019; in final form July 07, 2019 |
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Cubic quasicrystal (QC) is one of the important three-dimensional QCs. In this paper, according to Bak's arguments, dynamic elasticity equations for cubic QCs are considered. Fundamental solutions (FSs) of the phonon-phason displacements, displacement speeds, and stresses arising from pulse point sources are computed. |
DOI:10.12693/APhysPolA.136.474 topics: anisotropic dynamic elasticity, cubic quasicrystals, three dimensional quasicrystals, fundamental solution |