Elastic properties and lattice waves of TiAI

The elastic properties, lattice wave propagation and phonon focusing of TiAl are studied in detail based on Bond matrices model and lattice-dynamical method. The results contain remarkably complex three-dimensional variations in the phonon flux with angular distribution. The feature of elastic waves...

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Bibliographic Details
Published inMaterials science & engineering. B, Solid-state materials for advanced technology Vol. 254; pp. 1 - 10
Main Author Fu, Hongzhi
Format Journal Article
LanguageEnglish
Published Lausanne Elsevier BV 01.04.2020
Subjects
Angular distribution
Elastic anisotropy
Elastic properties
Elastic waves
Lattice vibration
Phonons
Propagation
Three dimensional models
Topology
Wave propagation
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Summary:The elastic properties, lattice wave propagation and phonon focusing of TiAl are studied in detail based on Bond matrices model and lattice-dynamical method. The results contain remarkably complex three-dimensional variations in the phonon flux with angular distribution. The feature of elastic waves and phonon distribution is affected by the elastic anisotropy of the lattice. The correspondence between these features and contours of Gaussian curvature on the slowness surface is explored and the phonon topology is discussed about the presence of caustics in the anistropic flux of phonons emanating from a localized phonon distribution. The topology slowness surface gives insights into the mixing of longitudinal and transverse modes and gives the origin of the phonon focusing. The elastic anisotropy not only affects lattice wave propagation but also influences phonon focusing.
ISSN:0921-5107
1873-4944
DOI:10.1016/j.mseb.2020.114511