Many-body forces in metals and the Brugger elastic constants
- 21 September 1975
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 8 (18), 2837-2857
- https://doi.org/10.1088/0022-3719/8/18/005
Abstract
The method of homogeneous deformations is used to derive expressions for the first-, second- and higher-order elastic constants of a crystalline solid in which the energy density can be separated into contributions from many-body interactions of different order. Volume-dependent terms in the energy density such as those due to the conduction electrons in a metal are also considered. Emphasis is laid on casting all results into a form which is manifestly rotationally invariant and on treating the structure-dependent and structure-independent terms on the same footing. A comparison is made between the results obtained using Lagrangian and infinitesimal strain with particular reference to the symmetry properties of the elastic constants. A new and general condition for the Cauchy relation to hold is obtained.Keywords
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