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Article Dans Une Revue Philosophical Magazine Année : 2007

Extension of the Vook-Witt and inverse Vook-Witt elastic grain-interaction models to general loading states

U. Welzel
  • Fonction : Auteur

Résumé

The recently developed Vook–Witt and inverse Vook–Witt elastic grain-interaction models have been employed for the calculation of mechanical elastic constants and diffraction (X-ray) stress factors of, in particular, thin films. However, their applicability is limited to a planar, rotationally symmetric state of macroscopic, mechanical stress. For such a loading state (and an, at least, transversely, elastically isotropic specimen), only two mechanical elastic constants are necessary to describe mechanical elastic behaviour and only the sum of two diffraction (X-ray) stress factors is needed to relate lattice strains to the one independent component of the mechanical stress tensor. The restriction to a planar, rotationally symmetric state of mechanical stress will be removed in this work. Calculation of the full stiffness tensor and all six diffraction (X-ray) stress factors then becomes possible. It was found previously that the Vook–Witt and inverse Vook–Witt models become (but only approximately) equivalent to the Eshelby–Kröner model for certain ideal grain-shape textures. For this reason, results of numerical calculations of mechanical elastic constants and diffraction (X-ray) stress factors, based on the Vook–Witt and inverse Vook–Witt models, will be presented and compared to corresponding results obtained from the Eshelby--Kröner grain-interaction model considering ideal grain-shape (‘morphological’) textures.
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Dates et versions

hal-01006887 , version 1 (08-12-2017)

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U. Welzel, Sylvain Fréour. Extension of the Vook-Witt and inverse Vook-Witt elastic grain-interaction models to general loading states. Philosophical Magazine, 2007, 87 (26), pp.3921-3943. ⟨10.1080/14786430701203176⟩. ⟨hal-01006887⟩
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