A Computer Program for Determining the Polycrystalline Elastic Moduli from the Single-Crystal Elastic Constants

摘要

A computer program has been written to evaluate the effective elastic moduli of a quasi-isotropic (random) polycrystalline aggregate in terms of the single-crystal elastic constants. These moduli are calculated using the variational methods developed by Hashin and Shtrikman, and establish stringent limits on the upper and lower bounds for the effective elastic moduli. The program may be applied to crystals of cubic (all point groups), hexagonal (all point groups), trigonal (point groups (bar 3)m, 32, and 3m) and tetragonal (point groups 4/mmm, (bar 4)2m, 4mm, and 422) symmetries. (Author)