Abstract
Kneer's method for obtaining polycrystal elastic constants from single crystal constants and orientation distribution is extended to orthotropic physical symmetry (rolled sheet) and to cubic crystal symmetry. The orientation distribution is expanded in a series of generalized spherical harmonics. The limiting cases of randomly oriented and completely oriented (single crystal) crystals are used to test the theory. Dirac-delta functions are used to derive the coefficients of the distribution function for those settings of a cubic crystal which possess orthotropic physical symmetry. Numerical examples employing data obtained on samples of copper plate and low-carbon aluminum killed steel are used to illustrate the method.
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