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Effective second‐order elastic constants and the second pressure derivatives of a hexagonal crystal
Author(s) -
Rao R. Ramji,
Padmaja A.
Publication year - 1989
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.2221520207
Subject(s) - magnesium , anisotropy , zinc , order (exchange) , hexagonal crystal system , third order , ideal (ethics) , constant (computer programming) , materials science , crystallography , crystal (programming language) , thermodynamics , computational chemistry , chemistry , physics , metallurgy , quantum mechanics , philosophy , theology , epistemology , computer science , economics , programming language , finance
Expressions for the effective second‐order elastic constants of a hexagonal crystal and its second pressure derivatives are derived in terms of its natural second, third, and fourth order elastic constants using the finite strain theory. These formulae are employed to obtain the values for the combinations of the fourth order elastic constants of magnesium and zinc for which the experimental data are available. The combinations are positive in both of these metals. However, in zinc which is an example of extreme anisotropy among the h.c.p. metals, the combinations of the fourth order elastic constants are found to be larger compared to those in magnesium which has nearly the ideal c/a value.