Abstract
This work investigates, by diffraction methods, the morphological texture influence on the residual stress analysis in polycrystals having cubic or hexagonal symmetries. Different extreme crystallite morphologies (sphere, disc and fiber, with their principal axes aligned along common directions) were considered in the present study. In a second part, crystallographic textures were accounted for, also, enabling to reflect the combined effect of the simultaneous occurrence of morphological and crystallographic textures. A stronger influence of morphological texture than that of the crystallographic texture in terms of stresses was observed. The main purpose of this work is to make the best choice of lattice planes (hkl) used for residual stress analysis, in elasticity, depending on the morphological (and crystallographic) texture of the polycristal.
Highlights
Scale transition models proposed by Voigt, Reuss, Neerfeld-Hill or Eshelby-Kröner are traditionally used to describe the distribution of stresses and strains over the differently oriented grains of a mechanically stressed polycrystals [1]
It appears obvious that polycrystals with a morphological texture have anisotropic macroscopic properties even in the absence of crystallographic texture
Following this line of reasoning, we will consider, in the present work, polycrystals consisting of fiber or disc-shaped grains aligned preferentially along certain directions in the specimen
Summary
Scale transition models proposed by Voigt, Reuss, Neerfeld-Hill or Eshelby-Kröner are traditionally used to describe the distribution of stresses and strains over the differently oriented grains of a mechanically stressed polycrystals [1] With these models, polycrystalline materials are usually represented by an isotropic morphologic microstructure (i.e. equiaxed or spherical grains are considered). The classical Eshelby-Kröner selfconsistent model enables to take into account non-spherical grains Owing to this model, an ideal morphological texture can be taken into account with (identical) ellipsoidal inclusions whose principal axes (a1, a2, a3) are aligned preferentially along certain directions in the specimen. An ideal morphological texture can be taken into account with (identical) ellipsoidal inclusions whose principal axes (a1, a2, a3) are aligned preferentially along certain directions in the specimen It is precisely this preferential alignment of non-spherical grains which leads to an anisotropic macroscopic behavior. The main purpose is to show the possible influence of the extremely anisotropic behavior induced at the scale of the diffracting volume by grain-shape in the context of stress analysis by diffraction methods (X-ray or neutron diffraction); we will be interested in the εφψ-vs.-sin2ψ diagrams and stress states which are traditionally deducted from them
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