Relation between elastic-constant tensors of hexagonal and cubic structures

Abstract

The third‐order elastic constants of hexagonal and cubic structures are related using an extension of a transformation derived by Martin. The transformation is used to calculate the zinc‐blende second‐ and third‐order elastic constants of CdS from the experimental wurtzite elastic constants. Also, the transformation is shown to give good results for some face‐centered‐cubic hexagonal closed‐packed polymorphic metals. In particular, the second‐order elastic constants of cobalt and thallium in the hexagonal structure are compared with those calculated from cubic elastic constants extrapolated from alloy data, and second‐ and third‐order hexagonal elastic constants of Co‐32% Ni are compared with those calculated from cubic elastic constants.