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A Calculation of the Second‐ and Third‐Order Elastic Constants of Aluminium
Author(s) -
Benckert S.
Publication year - 1971
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220430229
Subject(s) - third order , aluminium , dielectric function , elastic modulus , perturbation theory (quantum mechanics) , dielectric , order (exchange) , perturbation (astronomy) , thermodynamics , moduli , homogeneous , constant (computer programming) , physics , function (biology) , condensed matter physics , mathematical analysis , mathematics , materials science , quantum mechanics , composite material , finance , economics , philosophy , theology , computer science , programming language , evolutionary biology , biology
A calculation of the second‐ and third‐order elastic constants of aluminium has been made by the method of homogeneous deformation. The electronic contributions to the elastic constants are calculated using second‐order perturbation theory, Ashcroft's model potential, and a dielectric function with corrections for exchange and correlation effects, as suggested by Singwi et al. Within this model we have also estimated the difference between the calculated static and dynamic bulk modulus. This difference results from neglecting certain higher order model potential terms in the dynamic approach.