Improving the Self-Consistent Predictions of Texture Development of Polycrystals Incorporating Intragranular Field Fluctuations

Ricardo A. Lebensohn; Carlos Tomé; Pedro  Ponte Castañeda

doi:10.4028/www.scientific.net/MSF.495-497.955

Paper Titles

Neutron Diffraction Measurements of Deformation and Recrystallization Textures in Cold Wire-Drawn Copper
p.919

The Alignment of Low Angle Boundaries during Deformation
p.927

A Texture Evolution Study Using the Texture Component Crystal Plasticity FEM
p.937

Orientation Fragmentation in Copper, Nickel and Aluminum: A Comparative Study of the Nucleation Process
p.945

Improving the Self-Consistent Predictions of Texture Development of Polycrystals Incorporating Intragranular Field Fluctuations
p.955

Local Texture Evolution by Rate-Independent Polycrystal Model Allowing for Coordination of Interacting Crystals
p.965

Influence of Selectivity of Shear Systems on Deformation Texture
p.971

Processing Path Model to Describe Texture Evolution during Mechanical Processing
p.977

Quantitative X-Ray Analysis of Deformation Microtexture within Individual Grains
p.983

HomeMaterials Science ForumMaterials Science Forum Vols. 495-497Improving the Self-Consistent Predictions of...

Improving the Self-Consistent Predictions of Texture Development of Polycrystals Incorporating Intragranular Field Fluctuations

Abstract:

In this contribution we present how to implement the calculation of average field fluctuations inside the grains of a thermoelastic aggregate in terms of the derivatives of the stress potential given by the standard linear self-consistent (SC) model, and how this statistical information can be used to generate second-order estimates for the mechanical behavior of nonlinear viscoplastic polycrystals, by means of a rigorous non-linear homogenization procedure. To illustrate the differences between this second-order (SO) self-consistent approach and the classical first-order SC approximations, we compare them in terms of their predictions of the effective behavior of random fcc polycrystals as a function of their rate-sensitivity, and of the texture evolution in hcp ice polycrystals under uniaxial compression. In the latter case, the SO approximation is the only one able to predict a substantial accommodation of deformation by basal slip, even when the basal poles become strongly aligned with the compression direction and the basal slip systems became unfavorably oriented.