Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Averaging of elastic constants for polycrystals   Many materials of interest are polycrystals, i.e. aggregates of single
crystals. Randomly distributed orientations of single crystals lead to
macroscopically isotropic properties. Here, we briefly review strategies of
calculating effective isotropic second and third order elastic constants from
the single crystal ones. Our main emphasize is on single crystals of cubic
symmetry. Especially the averaging of third order elastic constants has not
been particularly successful in the past, and discrepancies have often been
attributed to texturing of the polycrystal as well as to uncertainties in the
measurement of elastic constants of both poly and single crystals. While this
may well be true, we point out here also shortcomings in the theoretical
averaging framework.

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The categories of this paper are: q-alg
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The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: cs