Microstructural effects on yield surface evolution in cubic metals using the viscoplastic ϕ-model

Predictions of polycrystalline yield surfaces for fcc metals using a new viscoplastic intermediate approach

“…Thus, the viscoplastic φ -model is able to reproduce (at least qualitatively) the texture transition from the copper-type to the brass-type texture by varying the parameter φ from 0 to 1. This shows that this parameter allows for the prediction of the texture transition and therefore it can be linked to the microstructural features controlling this transition in fcc metals [2]. In the case of the VPSC model, we obtain mainly a copper-type texture for all approximations (secant to tangent), see Figure 3.…”

“…In order to take into account the grains interactions effects, we have developed a rigid viscoplastic nonlinear intermediate model [1][2]. This new φ -model is formulated by the minimization of a specific function combining the local fields' deviations from the macroscopic ones.…”

“…Therefore, it is useful to use micromechanical modelling to compute yield surfaces. In this paper, under the same assumptions for the deformation mechanisms, a comparison between the φ -model [1][2] and self-consistent model [3][4] for the simulation of large deformation response and crystallographic texture evolution in fcc metals is proposed. We will focus on their respective predictive capability to capture anisotropy development (change in yield surfaces).The viscoplastic self-consistent (VPSC) code of Lebensohn and Tomé [3] will be applied.…”

“…The viscoplastic Taylor model and the viscoplastic Static model were also used to define the upper and lower bound of the results. For detailed references, see [1][2][3][4] and references therein.…”

Elasto-plasticity Behavior of IF Steel Sheet with Planar Anisotropy and Its Macro-meso Modeling

“…Our interest in the present work is how well such elasto-plasticity behaviors are described by polycrystal plasticity models, as well as by macro-plasticity models. Although many papers have been published on the predictions of the yield loci [2][3][4] and r-values 5,6) by crystal plasticity theories in the past, there are still very few works that investigate varieties of material behaviors, such as the Bauschinger effect, the yield locus, which is called the equiplastic work locus also, planar r-value anisotropy (hereafter, we call it 'planar anisotropy'), etc., comprehensively, focusing on a selected material. As for the yield loci, planar anisotropy and yield stress directionality, it is worthy of mentioning works by Hoferlin 7) and Kuwabara 8) on the predictions with crystal plasticity models.…”