Affiliation:
1. Department of Mechanical Engineering, Yale University, New Haven, CT 06520, USA
Abstract
A precise definition for the crystallite orientation distribution function (codf) of cubic polycrystals is given in terms of the set of distinct orientations of a cube. Elements of the classical Fourier
representation of the codf, in terms of (symmetrized) generalized spherical harmonics, are reviewed.
An alternative Fourier representation is defined in which the coefficients of the series expansion are
irreducible tensors. Since tensors can be defined without the benefit of a coordinate frame, the
tensorial representation is coordinate free. A geometrical association between irreducible tensors and
a bouquet of lines passing through a common origin is discussed. Algorithms are given for computing
the irreducible tensors and basis functions for cubic polycrystals.
Cited by
24 articles.
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