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Polycrystalline Simple Average of Mechanical Properties in the General (Triclinic) Case
Author(s) -
Ganster J.,
Gems D.
Publication year - 1985
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221320209
Subject(s) - triclinic crystal system , crystallite , simple (philosophy) , homogeneous space , stiffness , texture (cosmology) , fourier transform , orientation (vector space) , rank (graph theory) , distribution function , mathematics , function (biology) , crystallography , distribution (mathematics) , materials science , crystal structure , pure mathematics , mathematical analysis , physics , combinatorics , geometry , thermodynamics , chemistry , composite material , computer science , philosophy , image (mathematics) , epistemology , artificial intelligence , evolutionary biology , biology
For the general (triclinic) case the complete numerical values of the decomposition coefficients (d.c.) are given, necessary to calculate averaged mechanical properties (fourth rank tensors) from the single crystal compliance S (Reuss model) or stiffness C (Voigt model) and the generalized Fourier coefficients C mm t of the orientation distribution function. With the help of a group theoretical approach many symmetries of the dc are found. This leads to a considerable reduction of numerical data. It is shown that only CT mm i with l ‐ 0, 2, 4 are needed, i.e. that the simple mechanical average is not affected by ghost phenomena and depends only on certain features of the texture.