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Spherical harmonics analysis based on the Reuss model in elastic macro strain and stress determination by powder diffraction
Author(s) -
Popa Nicolae C.
Publication year - 2017
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s1600576717014431
Subject(s) - spherical harmonics , isotropy , harmonics , tensor (intrinsic definition) , powder diffraction , stress (linguistics) , cauchy stress tensor , anisotropy , tensor operator , ground state , rietveld refinement , stress–strain curve , diffraction , strain (injury) , crystallography , materials science , physics , mathematical analysis , chemistry , mathematics , geometry , composite material , deformation (meteorology) , optics , quantum mechanics , linguistics , philosophy , voltage , medicine
In this paper a new approach to macro strain/stress analysis by generalized spherical harmonics is presented. It consists of expanding the stress tensor weighted by texture in a series of generalized spherical harmonics with the ground state of expansion specific to the classical Reuss model of an isotropic polycrystal. Like previously reported models having a ground state of hydrostatic type [Popa & Balzar (2001). J Appl Cryst . 34 , 187–195] and of Voigt type [Popa et al. (2014). J Appl Cryst. 34 , 154–159], the actual model is appropriate for use with Rietveld refinement.