Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strain distribution in polycrystals: Theory and Application for
  Diffraction Experiments   Randomly textured polycrystalline materials of constituents with highly
anisotropic nature of grains can be considered globally isotropic. In order to
determine the isotropic properties, like elasticity or conductivity, we propose
a theory for averaging the coefficients of the corresponding tensors unifying
Voigt's, Reuss' or other self-consistent homogenization theories. We apply the
method to determine elastic moduli of untextured polycrystals with arbitrary
crystal structures, recovering experimental data with high precision for cubic
materials. We show that the average moduli can be used to predict analytically
stress and strain states inside individual grains as proven by the comparison
with neutron diffraction measurements. Finally, we discuss a few possible
generalizations for textured materials for further applications.

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The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int