Strain distribution in polycrystals: Theory and Application for Diffraction Experiments

• DOI: 10.48550/arxiv.1812.02247
• Publication Date: 2018-01-01
• Authors: Ádám Takács; G. Tichy; Péter Dusán Ispán...
• Keywords: Homogenization; Elasticity; Stress–strain curve

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