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Deformation mode dependency of stable orientations: From plane strain compression to equibiaxial tension

Hajian, M ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1080/14786435.2015.1007109
  3. Publisher: Taylor and Francis Ltd , 2015
  4. Abstract:
  5. Prediction of stable orientations is a key subject in the crystal plasticity literature. This work deals with the effects of deformation mode on the resulted stable orientations and texture evolution of FCC materials. The simulations are based on the numerical procedure developed by the authors in previous works in which, a rate-sensitive crystal plasticity model with Secant hardening law was employed. The resulting non-linear system of equations is solved by the modified Newton-Raphson method. In order to obtain the stable orientations for a deformation mode, initial orientations evenly spaced in the Euler space are selected and their evolution into the stable orientations is tracked. The deformation is applied incrementally until all of the lattice spin components become permanently zero. In this way, all preferred orientations for different ratios of strain-rate components ρ = D22/D11 = 0, 0.1, 0.25, 0.5 and 1 (from plane strain compression to equibiaxial tension) are calculated. It is observed that, by increasing this ratio, rolling texture components are gradually replaced by stable orientations of equibiaxial tension loading. In other words, the stable orientations of intermediate strain modes can be extracted from summation of stable orientations of plane strain compression and equibiaxial tension. This suggests that, it is not needed to search other intermediate strain modes for new stable orientations. The presented stable orientations can be evaluated by crystal plasticity-based simulation tools to determine which ones have superior characteristics to be used for texture improvement of material
  6. Keywords:
  7. FCC materials ; Strain-rate components ratio ; Deformation ; Linear systems ; Strain ; Strain rate ; Textures ; X ray powder diffraction ; Biaxial tensions ; Crystal plasticity ; Preferred orientations ; Texture evolutions ; Crystal orientation
  8. Source: Philosophical Magazine ; Volume 95, Issue 7 , Feb , 2015 , Pages 794-803 ; 14786435 (ISSN)
  9. URL: http://www.tandfonline.com/doi/abs/10.1080/14786435.2015.1007109