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...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2018-12
Main Authors: Takacs, Adam, Tichy, Géza, Ispánovity, Péter Dusán
Format: Article
Language:English
Subjects:
Crystal structure
Crystals
Grains
Mathematical analysis
Modulus of elasticity
Neutron diffraction
Polycrystals
Strain analysis
Strain distribution
Tensors
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422