HIGHER-ORDER ELASTIC-CONSTANTS AND GENERALIZED GRUNEISEN PARAMETERS OF ELASTIC-WAVES AND LOW-TEMPERATURE THERMAL-EXPANSION OF TITANIUM

Authors
Citation
S. Sindhu et Cs. Menon, HIGHER-ORDER ELASTIC-CONSTANTS AND GENERALIZED GRUNEISEN PARAMETERS OF ELASTIC-WAVES AND LOW-TEMPERATURE THERMAL-EXPANSION OF TITANIUM, Journal of solid state chemistry, 129(1), 1997, pp. 53-59
Citations number
11
Categorie Soggetti
Chemistry Inorganic & Nuclear","Chemistry Physical
ISSN journal
00224596
Volume
129
Issue
1
Year of publication
1997
Pages
53 - 59
Database
ISI
SICI code
0022-4596(1997)129:1<53:HEAGGP>2.0.ZU;2-H
Abstract
The expressions for the 19 fourth order elastic constants, 10 third or der elastic constants, and 6 second order elastic constants of a solid are derived using the method of homogenous deformation with interacti ons extending up to second neighbors using the sublattice displacement s to the second degree in strains. These expressions are used to obtai n the higher order elastic constants and their pressure derivatives in titanium, Titanium belongs to the hexagonal class of crystals. The hi gher order elastic constants are used to find the generalized Gruneise n parameters of the elastic waves propagating in different directions in titanium. The Brugger gammas are evaluated and the low temperature limit of the Gruneisen gamma is obtained. The results are compared wit h the available reported values. (C) 1997 Academic Press.