Simulation of Texture Development of Plane Carbon Steel in Multipass Rolling Using Analytical Flow Function

Abstract

Using a simple analytical flow function, an analysis of the deformation field in symmetrical rolling has been carried out. The so-obtained varying velocity gradient is incorporated into the Taylor polycrystal plasticity model to simulate the development of the deformation texture. The initial discontinuity in the deformation field of the entering material element on the flow lines is also taken into account. Multiple passes of the material is simulated. A strong texture gradient is obtained in good agreement with experiments carried out for rolling of plane carbon steel. It is shown that the shear component of the texture is strongly related to the nature of multiple passes of the rolling operation.

A New Analytical Approach for the Velocity Field in Rolling Processes and Its Application in Through-Thickness Texture Prediction

“…As mentioned in Section III-B-2, in this work that position x* (see Eq. [25]) has been chosen to be at the half of the deformation zone, but it can be defined to be located elsewhere.…”

“…A kinematically admissible velocity ensures the flow of a material along the flowlines and also fulfills the material's incompressibility condition. The flowlines are represented by a parametric family of curves, and could be expressed as parabolic, [25] circular, elliptical, [19] or a complex shape function. [23,26] Since the described methods deal with analytical functions, they are able to find analytical expressions for the components of the velocity gradient tensor.…”

“…Both two and three dimensional functions were proposed to construct the kinematically admissible strain velocity fields. [19][20][21][22][23][24][25][26] The single and dual-stream functions are constructed in a way that the velocity vector at a point in the deformation zone is the tangential vector to the flowline passing through this point. It is assumed that the material flows along prescribed trajectories called flowlines or streamlines.…”

Analysis of microstructure and texture evolution in pure magnesium during symmetric and asymmetric rolling

“…Several descriptions of deformation by streamlines after asymmetric or conventional rolling have been proposed in the literature [29][30][31][32]. From such streamlines a variable velocity gradient in the die can be extracted that describes in detail the deformation of a material element during the process.…”