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Recherches en déformation plastique des polycristaux à réseau cubique

Abstract : The selection of active slip systems in a crystal subjected to a given strain has been solved by use of an analytical algebraic method based upon the interdependence of the slip systems. In the case of glide on 111 110 or 110 111 slip systems, the application of the maximum work principle is reduced to a comparison between only four of the twenty eight precesses connected with the corresponding stress states found by bishop. The proposed method can easily be applied to the cas of glide on several sets of slip systems and finally to the case of pencil glide. In this last case this approach leads also to an algebraic determination of all amounts of glide and corresponding slip plane orienations in both cases of effective slip on threeor four systems. Numerical applications have led to a reduction of computer time by a factor of 10(-3) with respect to previous investigations. Both treatments due respectively to Sachs and Taylor are known to provide extreme patterns involving slip systems in the plastic deformation of polycrystals. A number of further assumptions are discussed here, which allow to define several intermediate extended Sachs and relaxed Taylor models. The Bunge-Roe formalism has been used throughout this article for simultaneous descriptions of polycrystalline texture as well as the Taylor factor anisotropies of anyone of these models. A comparison will be presented through corresponding tables of M1(Mn) coefficients together with a number of preliminary applications to f.c.c. systems, such as the calculation of the strain ratio for some samples of industrial interest
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  • HAL Id : tel-01775712, version 1



François Royer. Recherches en déformation plastique des polycristaux à réseau cubique. Matière Condensée [cond-mat]. Université Paul Verlaine - Metz, 1986. Français. ⟨NNT : 1986METZ023S⟩. ⟨tel-01775712⟩



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