Lattice Theory of Third-Order Elastic Constants of Nonprimitive, Nonpiezoelectric Lattices
- 15 April 1966
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 144 (2), 620-628
- https://doi.org/10.1103/physrev.144.620
Abstract
Expressions for the third-order elastic constants of nonprimitive lattices are derived from lattice theory by the method of homogeneous deformation. The interlattice displacements are obtained as a power series in the strains from the condition that the strain energy is a minimum with respect to these displacements. For third-order elastic constants these displacements need to be known only to the first order in strain. The expressions for the elastic constants are verified by deriving the equation for wave propagation in a homogeneously strained crystal and comparing it with the equation from continuuum mechanics. The expressions given here are valid only for nonpiezoelectric crystals.Keywords
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