Papers by Author: S. M'Guil

Abstract: In this work, we propose a comparison between two different approaches for the simulation of the large deformation response and crystallographic texture evolution in polycrystals. The first approach is the well-know self-consistent scheme. For this, we used the Visco-Plastic- Self-Consistent (VPSC) approach. The second approach is based on a recently developed intermediate modeling. In a first part of this paper, we present the VPSC model. In a second part, we define the intermediate linear modeling which is based on a linear combination of Taylor and Sachs models using a weight parameter. For the comparison of these two approaches, we present different results in the case of uniaxial tests for an FCC polycrystal for different values of the weight parameter for the intermediate modeling and for different formulations of the macroscopic moduli in the self-consistent model.

Abstract: The aim of this work is to discuss a new non linear intermediate model for large viscoplastic deformations that could predict the texture transition and stress-strain behavior in a range that spans from the upper bound (Taylor) to the lower bound (Sachs or static) estimates. In this model, we introduced a single parameter, f , as a weight function to formulate the proposed intermediate approach which combines the Taylor and Sachs estimates. This formulation leads to an interaction law by the minimization of a tensorial function which depends on the parameter f . For the applications, we focus on the uniaxial tension test. The results for texture evolution in an FCC polycrystal show that a transition between the copper type and brass type textures can be obtained by the proposed non-linear intermediate model.

Abstract: The aim of this work is to propose the use of an intermediate model for large viscoplastic deformations that could predict the texture transition and stress-strain behavior in a range that spans from the upper bound (Taylor) to the lower bound (Sachs) estimates. In this model, we introduced a single parameter as a weight function to formulate the intermediate model which combines the Taylor and Sachs estimates. For the applications, we focus on the three main tests: plane strain compression, uniaxial tension and compression. An FCC polycristal represented by 100 crystals with an initially random orientation is used. The results for texture evolution show that a transition between the copper and brass type textures can be obtained by the proposed intermediate model.