Multi-scale modeling of the effect of crystallographic texture

Abstract

Abstract. Among processes involving plastic deformation, sheet metal forming requires a most accurate description of plastic anisotropy. One of the main sources of mechanical anisotropy is crystallographic texture, which induces directionality in the macroscopic plastic properties of the polycrystalline metallic alloy sheets (e.g. anisotropy in yield stresses, Lankford coefficients). Recently, we develop a single-crystal yield criterion that satisfies the intrinsic symmetries of the constituent crystals and the condition of insensitivity to hydrostatic pressure [1]. Moreover, this single-crystal criterion is defined for any 3-D stress state. It was shown that the use of this single-crystal criterion for the description of the plastic behavior of the constituent crystals in conjunction with appropriate homogenization procedures leads to an improved prediction of the plastic anisotropy in macroscopic properties under uniaxial loading for polycrystalline aluminum alloys. In this paper, using this polycrystalline model, we simulate the deformation response of sheets of various crystallographic textures. Examples demonstrate the predictive capabilities of the model to describe the influence of the crystallographic texture on the macroscopic behavior and on the final shape of parts obtained using deep-drawing.