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Article Dans Une Revue Philosophical Magazine Année : 2005

Direction-Dependent Elastic Grain-Interaction Models

Udo Welzel
  • Fonction : Auteur
Sylvain Fréour

Résumé

Mechanical and diffraction (X-ray) elastic constants (diffraction (X-ray) stress factors for macroscopically elastically anisotropic specimens) can be calculated for polycrystalline specimens from single-crystal elastic data by employing elastic grain-interaction models. Traditionally, only so-called isotropic grain-interaction models are considered: all directions in the polycrystal are taken equivalent with respect to the grain interaction. Only recently, so-called direction-dependent, i.e. anisotropic grain-interaction models, have been proposed. These models can express the effects of the reduced dimensionality of thin films, of the surface anisotropy of bulk polycrystals and of a grain-shape (morphological) texture on the elastic properties of polycrystals. In this work, the available, recently proposed direction-dependent grain-interaction models will be compared, in particular on the basis of numerical calculations of diffraction and mechanical elastic constants, of variances of certain orientation-dependent stress and strain tensor components and of the distributions of strains in the Euler (orientation) space. It will be demonstrated that the so-called Vook–Witt and inverse Vook–Witt models become (but only approximate) equivalent to the Eshelby–Kröner model for certain grain-shape textures.
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Dates et versions

hal-01006751 , version 1 (03-02-2018)

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Udo Welzel, Sylvain Fréour, Eric J. Mittemeijer. Direction-Dependent Elastic Grain-Interaction Models: A Comparative Study. Philosophical Magazine, 2005, 85, pp.2391-2414. ⟨10.1080/14786430500070685⟩. ⟨hal-01006751⟩
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