Relations between elastic constants Cij and texture parameters for hexagonal materials
Thompson, R. Bruce
Ultrasonic techniques have recently been applied to the texture characterization in polycrystalline aggregates of hexagonal crystals. The basis of this application lies in the relations between the elastic constants ij of the aggregates, which can be inferred from ultrasonic wave velocity measurements, and the orientation distribution coefficients. This communication presents such relations for aggregates which possess orthotropic material symmetry and hexagonal crystal symmetry for Voigt, Reuss, and Hill averaging methods in a unified and concise representation.
The following article appeared in Journal of Applied Physics 67 (1990): 2663–2665 and may be found at http://dx.doi.org/10.1063/1.345479.